KGRKJGETMRETU895U-589TY5MIGM5JGB5SDFESFREWTGR54TY
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">Q.1.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">Divide 12.50 into five parts in A.P. such that the first part and the last part are in the ratio of </span><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">2 :</span><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;"> 3.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">(a) 2, 2.25, 2.5, 2.75, 3</p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(b) -2, -2.25, -2.5, -2.75, -3</p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(c) 4, 4.5, 5, 5.5, 6</p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(d) -4, -4.5, -5, -5.5, -6</p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.2.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">A pattern that is repeated throughout a time series and has a recurrence period of at most one year is called:</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">3</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Cyclical variation</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Irregular variation</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Seasonal variation</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) Long term variation</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">Q.3.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">Insert two Arithmetic means between 68 and 260</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">(a) 132,196</p>
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<p style="margin-top: 0; margin-bottom: 0;">(b) 130,194</p>
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<p style="margin-top: 0; margin-bottom: 0;">(c) 70,258</p>
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<p style="margin-top: 0; margin-bottom: 0;">(d) None of the above.</p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.4.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">The fire in a factory is an example of:</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Secular trend</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Seasonal movements</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Cyclical variations</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) Irregular variations</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">Q.5.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">A man employed in a company is promised a salary of Rs.3000 every month for the first year and an increment of Rs.1</span><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">,000</span><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;"> in his monthly salary every succeeding year. How much does the man earn from the company in 20 years?</span>	</p>
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<p style="margin-top: 0; margin-bottom: 0;">1</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(a) Rs.30,00,000</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(b) Rs.27,50,000</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(c) Rs.19,10,000</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(d) Rs.7,90,000</span></p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.6.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Moving average method is used for measurement of trend when:</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">1</p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Trend is linear</span></p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Trend is non-linear</span></p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Trend is </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">curvi</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;"> linear</span></p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) None of them</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">Q.7.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">If each month Rs. 100 increases in any sum then find out the total sum after 10 months, if the sum of first month is 2,000.</span>			</p>
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<p style="margin-top: 0; margin-bottom: 0;">1</p>
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<p style="margin-top: 0; margin-bottom: 0;">(a) Rs 24,500</p>
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<p style="margin-top: 0; margin-bottom: 0;">(b) Rs 24,000</p>
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<p style="margin-top: 0; margin-bottom: 0;">(c) Rs 50,000</p>
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<p style="margin-top: 0; margin-bottom: 0;">(d) Rs 60 000</p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.8.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">The secular trend is measured by the method of semi-averages when:</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">2</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Time series based on yearly values</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Trend is linear</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Time series consists of even number of values</span></p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) None of them</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.9.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">If a, -3, b, 5, c are in A.P then the value of c is</span>	<span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">           </span></p>
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<p style="margin-top: 0; margin-bottom: 0;">3</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) -7</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) 1</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) 9</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) 13</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.10. </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">The Circular Test is known as:</span>						</p>
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<p style="margin-top: 0; margin-bottom: 0;">1</p>
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<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">Q.11.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">If the first term of a G.P exceeds the second term by 2 and the sum to infinity is 50, the series is</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(d) None</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.12.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Cost of living index numbers are also used to find real wages by the process of:</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a)  Base shifting</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b)  Splicing of index numbers</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c)  Deflating of index numbers</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d)  None of these</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">Q.13.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">A certain ball when dropped to the ground rebounds to of 4/5th of  the height from which it falls; it is dropped from a height of 100 </span><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">metres</span><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;"> find the total distance it travels before finally coming to rest:</span>				</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(a) 600m</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(b) 700m</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(c) 900m</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(d) 200m</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.14.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Fisher&#039;s Ideal index is obtained by</span>	</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Arithmetic Mean of </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">Laspeyre&#039;s</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;"> &amp; </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">Paasche&#039;s</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;"> index</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Geometric Mean of </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">Laspeyre&#039;s</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">, &amp; </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">Paasche&#039;s</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;"> index</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Sum of </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">Laspeyre&#039;s</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;"> &amp; </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">Paadche&#039;s</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;"> index.</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) None of the above.</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">Q.15.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">The first term of a G.P. where second term is 2 and sum of infinite term is 8 will b</span><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">e</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(a) 6</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(b) 3</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(c) 4</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(d) 1</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.16.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">If with a rise of 10% in prices the wages are increased by 20%, the real wage increases by </span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) 10%</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) More than 10%</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) 20%</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) Less than 10%</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.17.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">If the prices of all commodities in a place has increased 20% in Comparison to the base period prices, then the index number of prices for the place is now _______.</span>		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) 100</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) 120</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) 20</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) 150</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">Q.18.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">In a town of 20,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, then the number of families which buy A only is:</span>			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(a) 6600</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(b) 6300</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(c) 5600</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(d) 600</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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</tr>
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<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.20</span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">The equations of two regression lines are x + y = 6 and x + 2y = 10, then the value of correlation coefficient between x and y is:</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) -1/2</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) +1/2</span></p>
</td>
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</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">Q.21.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">f(x) = 3+x, for - 3&lt; x &lt;0 and 3 - 2x for 0&lt; x &lt;3, then Value of f(2) will be</span>	</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) -1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(b) 1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) 3</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(d) 5</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">2</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) 17 and 13</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(b) 13 and 17</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) 13 and -17</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(d) -13 and 17</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) One — one and onto</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) One  — one into</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Many one onto</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) Can’t say</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Q.24. </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">If the lines of regression in a </span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">bivariate</span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;"> distribution are given by x+2y = 5 and </span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">2x +3y = 8, then the coefficient of correlation is:</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) 0.866</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(b) -0.666</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) 0.667</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(d) -0.866</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(a) 1/t</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(b) </span><span style="font-family: 'Calibri'; color: #000000;">t.e</span><span style="font-family: 'Calibri'; font-size: 6pt;">t</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(c) -1/t</span><span style="font-family: 'Calibri'; font-size: 6pt;">2</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(d) None of these.</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) log (ex)</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) log (e/x)</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) log (x/e)</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) 1</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) 0.03</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(b) 0.3</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) 0.2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(d) 0.05</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Q.28.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">The following data is given, based on 450 students for marks in Statistics and Economics at a certain examination:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Mean marks in Statistics</span>			<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">= 40</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Mean marks in Economics</span>			<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">= 48</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">S.D. of marks (Statistics)</span>			<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">= 12</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Variance of marks (Economics)</span>		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">= 256</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Sum of the products of deviations of marks from their respective mean = 42075</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">The average marks in economics of candidates who obtained 50 marks in Statistics is:</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) 45</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(b) 54.5</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) 54</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(d) 47.5</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
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</td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Q.30.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Regression coefficient are _____</span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">_ .</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) dependent of change of origin and of scale</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(b) Independent of both change of origin and of scale.</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) Dependent of change of origin but not of scale.</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(d) Independent of change of origin but not of scale</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(a) 4 / 3</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(b) -5 / 4</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(c) 4 / 5</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(d) -4 / 3</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(a)</span><span style="font-family: 'Calibri';"> (-1/3 , 32/27) and (1 , 0)</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(b) (0, 0) and (1, 0)</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(c) (1, 0)and(1, 1)</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(d) (0, 1) and (1, 1)</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.33. </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">If y = 18x+5 is the regression line of x on y then the value of </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bxy</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> is _____</span>	</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) 5/18</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) 18</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) 5</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">1/18</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000; font-weight: bold;">Q.34.</span>	<span style="font-family: 'Calibri'; color: #000000; font-weight: bold;">The cost function for the production x units of a commodity is given by C(x) = 2x</span><span style="font-family: 'Calibri'; font-size: 6pt; font-weight: bold;">3</span><span style="font-family: 'Calibri'; font-weight: bold;"> - 15x</span><span style="font-family: 'Calibri'; font-size: 6pt; font-weight: bold;">2</span><span style="font-family: 'Calibri'; font-weight: bold;"> +</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Calibri'; font-weight: bold;"> 36x + 15. The cost will be minimum when ‘x’ equal to</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(a) 3</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(b) 2</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(c) 1</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(d) 4</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) 15.6</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(b) 13.4</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) 19.7</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(d) 17.7</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(a) 1/t</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(b) -1/t</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(c) t</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(d) None of the above</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 10pt; color: #000000;">(a) 0</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 10pt; color: #000000;">(b) 3</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 10pt; color: #000000;">(c) 2</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 10pt; color: #000000;">(d) 1</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">3</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) 0.77</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(b) 0.98</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) 0.92</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(d) 0.82</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Q.39. </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Which of the following regression equations represent regression line of Y on X: 7x + 2y +15 = 0, 2 x + 5y + 10 = 0</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) 7x +2y +15 = 0</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(b) 2x +5y +10 = 0</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) Both (a) and (b)</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(d) None of these</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
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AP/Z
"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(a) t</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(b) 1/t</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(c) -1/t</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(d) None</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.41.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statement: </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">All pens are cups.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">All cups are bowls.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions:</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">All pens are bowls.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II. All cups are pots.</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.42.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statement: </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">All pens are dogs.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some pens are lights.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions:</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some dogs are lights.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some lights are not dogs.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">1</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.43.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statement: </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Some cups are belts.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">No belt is black.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions:</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some cups are black.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some cups are not black.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">2</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p>&nbsp;</p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.44.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statement: </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Some girls are flowers.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some flowers are books.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions:</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some girls are books.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">No books are girls.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">3</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p>&nbsp;</p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.45.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statement: </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Some files are rats.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">All animals are rats.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions:</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">All files are rats.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some rats are animals.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">2</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p>&nbsp;</p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<td>
<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.46.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statement: </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">All </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">cricketes</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> are tall.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Rajesh is tall.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions:</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Rajesh is a cricketer.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Rajesh is not cricketer.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">3</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p>&nbsp;</p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">given conclusions definitely follows from the given statements.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.47.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statement: </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Some trees are monkeys.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some ships are trees.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions:</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some Monkeys are ships.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some trees are neither ships nor monkeys.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p>&nbsp;</p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<td>
<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.48.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statement: </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">All tigers are birds.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some birds are cows.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions:</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some cows are birds</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some tigers are cows.</span></p>
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<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.49.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statememts</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Some papers are pens.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Angle is a paper.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Angle is not a pen.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Angle is a pen.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">3</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.50.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statememts</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Latha</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> is a beautiful and intelligent girl.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">She is very good.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">All beautiful girls are intelligent.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Beauty and </span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">intelligence  are</span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;"> the essential  factors of  goodness.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.51.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statememts</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">All </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">writers  are</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">  lawyers.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">All r </span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">eaders</span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;"> are lawyers.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some lawyers are readers.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some  readers</span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;"> are writers.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">1</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.52.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statement: </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">All tigers are birds.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some birds are cows.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions:</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some cows are birds</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some tigers are cows.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">1</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.53.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statement: </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Some dogs are monkeys.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">No monkey is black.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions:</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some dogs are black.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some monkeys are dogs.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">2</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.54.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statement: </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Many actors are directors.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">All Directors are dancers.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions:</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some actors are dancers.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">No director is an actor.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">1</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p>&nbsp;</p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.55.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statememts</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">All huts are mansions.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">All mansions are temples.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some temples are huts.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">All temples are mansions.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">1</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">(Qs. 41 - 56)</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">:</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Each of the following questions contains two statements followed </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">bytwo</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> conclusions numbered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide which of the given conclusions definitely follows from the given statements.</span></p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.56.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statememts</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">All leaders are </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">good  team</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">  workers.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">All </span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">good  team</span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">  workers are good orators.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some </span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">good  team</span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;"> workers are leaders.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">All  good</span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;"> orators are leaders.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">1</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(a) if only I follows;</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(b) if only conclusion II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(c) if either I or II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(d) if neither I nor II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt;">(e) if both I and II follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions (Question 57 to 59) :</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">In each of the question below are given three statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts. Read all the conclusions and then decide which of the give </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">nconclusions</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> logically follows from the given statements disregarding commonly known facts.</span></p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.57.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Statements :</span>		<span style="font-family: 'Times New Roman'; font-size: 12pt;">All dolls are windows. All bottles are windows. All cars are bottles.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions :</span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;"> </span>		<span style="font-family: 'Times New Roman'; font-size: 12pt;">I. All cars are windows.</span>		<span style="font-family: 'Times New Roman'; font-size: 12pt;">II. Some cars are dolls.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">				<span style="font-family: 'Times New Roman'; font-size: 12pt;">III. Some windows are cars.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">3</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Only I and II follow</span></p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Only II and III follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Only I and III follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) All follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions (Question 57 to 59) :</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">In each of the question below are given three statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts. Read all the conclusions and then decide which of the give </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">nconclusions</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> logically follows from the given statements disregarding commonly known facts.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 10pt; color: #000000; font-weight: bold;">Q.58</span><span style="font-family: 'Times New Roman'; font-size: 10pt; font-weight: bold;">.</span>	<span style="font-family: 'Times New Roman'; font-size: 10pt; font-weight: bold;">Statements :</span>		<span style="font-family: 'Times New Roman'; font-size: 10pt; font-weight: bold;">All snakes are trees. Some trees are roads. All roads are mountains.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions :</span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;"> </span>		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I. Some mountains are snakes.  </span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II. Some roads are snakes</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">				<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">III. Some mountains are trees.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">3</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Only I follow</span></p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Only II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Only III follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) Both I and II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(e) None of follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions (Question 57 to 59) :</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">In each of the question below are given three statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts. Read all the conclusions and then decide which of the give </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">nconclusions</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> logically follows from the given statements disregarding commonly known facts.</span></p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.59.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Statements :</span>		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some saints are balls. All balls are bats. Some tigers are balls</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions :</span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;"> </span>		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I. Some bats are tigers.</span>		<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">(b) Some saints are bats</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">				<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">III. All bats are balls.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">1</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Only I and II follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Only II follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Only I and III follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) Only III follows</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(e) None of these</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: center; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Directions (60)</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Three statements are given in each of the following questions, followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follow from the given statements, disregarding commonly </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">know</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> facts.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.60.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Statememts</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Nail polish is a cosmetic</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">No cosmetic is powder.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some powders are medicine.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Conclusions</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">I.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some powders are cosmetics.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">II.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some medicines are nail polishes</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">III.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Some cosmetics are nail polishes.</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">3</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Only I follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Only II follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Only III follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) II and III follow</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.61.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">If Y is dependent variable and X is Independent variable and the S.D of X and Y </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">are</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> 5 and 8 respectively and Co- efficient of co-relation between X and Y is 0.8. Find the Regression coefficient of Y on X :</span>	</p>
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<p style="margin-top: 0; margin-bottom: 0;">2</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) 0.78</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) 1.28</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) 6.8</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) 0.32</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000; font-weight: bold;">Q.62.</span>	<span style="font-family: 'Calibri'; color: #000000; font-weight: bold;">The derivative of x</span><span style="font-family: 'Calibri'; font-size: 6pt; font-weight: bold;">2</span><span style="font-family: 'Calibri'; font-weight: bold;"> log x is:</span>				<span style="font-weight: bold;"> </span></p>
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<p style="margin-top: 0; margin-bottom: 0;">3</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(a) 1 + 2 log x</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(b) 2 log x</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(c) x(1 + 2 log x)</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(d) None of these</span></p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(a) 17 and 13</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(b) 13 and 17</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(c) 13 and -17</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(d) -13 and 17</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Q.64. </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">If the sum of square of differences of rank is 50 and number of items is 8 then what is the value of rank correlation coefficient.</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(a) 0.59</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(b) 0.40</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(c) 0.36</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(d) 0.63</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(a) 22 log (x - 3) - 16 (x + 2)</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(b)  11 log (x - 3) - 8 (x - 2)</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(c) 22 log (x - 3) - 16 log (x - 2)</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(d)  22 log (x - 3) + 16 (x - 2)</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000; font-weight: bold;">Q.66.</span>	<span style="font-family: 'Calibri'; color: #000000; font-weight: bold;">If f(x) = a</span><span style="font-family: 'Calibri'; font-size: 6pt; font-weight: bold;">x</span><span style="font-family: 'Calibri'; font-weight: bold;"> </span><span style="font-family: 'Calibri'; font-weight: bold;">x</span><span style="font-family: 'Calibri'; font-size: 6pt; font-weight: bold;">a</span><span style="font-family: 'Calibri'; font-weight: bold;"> then find f </span><span style="font-family: 'Calibri'; font-weight: bold;">‘ (</span><span style="font-family: 'Calibri'; font-weight: bold;">x).</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
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</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) 0.95</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(b) 0.65</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) 0.75</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(d) 0.85</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(a) 2 log 2 – 1</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(b) 4 log 2 – 1</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(c) 2 log 2</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(d) None of these.</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Q.69.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">If the covariance between variables X and Y is 25 and variance of X and Y are respectively 36 and 25, then the coefficient of correlation is</span>		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) 0.409</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(b) 0.416</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) 0.833</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(d) 0.0277</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.70.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> If the sum of squares of the rank difference in mathematics and physics marks of 10 students is 22, then the coefficient of rank correlation is:</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(a) 0267</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(b) 0.867</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(c) 0.92</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) none of the above</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000; font-weight: bold;">Q.71.</span>	<span style="font-family: 'Calibri'; color: #000000; font-weight: bold;">x = 2 t + 5 and y = t</span><span style="font-family: 'Calibri'; font-size: 6pt; font-weight: bold;">2</span><span style="font-family: 'Calibri'; font-weight: bold;"> - 5, then </span><span style="font-family: 'Calibri'; font-weight: bold;">dy</span><span style="font-family: 'Calibri'; font-weight: bold;">/</span><span style="font-family: 'Calibri'; font-weight: bold;">dx</span><span style="font-family: 'Calibri'; font-weight: bold;"> </span><span style="font-family: 'Calibri'; font-weight: bold;">= ?</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(a) t</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(b) -1/t</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(c) 1/t</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(d) 0</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Q.72. </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">The method applied of deriving regression equations is knows as:</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(a) Concurrent deviation</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(b) Product moment</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(c) Least Squares</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(d) Normal equation</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 10pt; color: #000000; font-weight: bold;">Q.73.</span>	<span style="font-family: 'Times New Roman'; font-size: 10pt; color: #000000; font-weight: bold;">The slope of the tangent at the point (2, -2) to the curve x</span><span style="font-family: 'Times New Roman'; font-size: 5.5pt; font-weight: bold;">2</span><span style="font-family: 'Times New Roman'; font-size: 10pt; font-weight: bold;"> + </span><span style="font-family: 'Times New Roman'; font-size: 10pt; font-weight: bold;">xy</span><span style="font-family: 'Times New Roman'; font-size: 10pt; font-weight: bold;"> + y</span><span style="font-family: 'Times New Roman'; font-size: 5.5pt; font-weight: bold;">2</span><span style="font-family: 'Times New Roman'; font-size: 10pt; font-weight: bold;"> - 4 = 0 is given by :</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 10pt; color: #000000;">(a) 0</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 10pt; color: #000000;">(b) 1</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 10pt; color: #000000;">(c) -1</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 10pt; color: #000000;">(d) None</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-size: 13pt;">2</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 13pt; color: #000000;">(a) x</span><span style="font-family: 'Calibri'; font-size: 13pt;">a</span><span style="font-family: 'Calibri'; font-size: 13pt;"> + a</span><span style="font-family: 'Calibri'; font-size: 13pt;">x</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 13pt; color: #000000;">(b) a x</span><span style="font-family: 'Calibri'; font-size: 13pt;">a-1</span><span style="font-family: 'Calibri'; font-size: 13pt;"> + a</span><span style="font-family: 'Calibri'; font-size: 13pt;">x </span><span style="font-family: 'Calibri'; font-size: 13pt;">log a</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 13pt; color: #000000;">(c) a x</span><span style="font-family: 'Calibri'; font-size: 13pt;">a-1</span><span style="font-family: 'Calibri'; font-size: 13pt;"> + x a</span><span style="font-family: 'Calibri'; font-size: 13pt;">x-1</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 13pt; color: #000000;">(d) x</span><span style="font-family: 'Calibri'; font-size: 13pt;">x</span><span style="font-family: 'Calibri'; font-size: 13pt;"> + a</span><span style="font-family: 'Calibri'; font-size: 13pt;">a</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Q.75.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">If Y is dependent variable and X is Independent variable and the S.D of X and Y </span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">are</span><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;"> 5 and 8 respectively and Co- efficient of co-relation between X and Y is 0.8. Find the Regression coefficient of Y on X :</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) 0.78</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(b) 1.28</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) 6.8</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(d) 0.32</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(a) e</span><span style="font-family: 'Calibri'; font-size: 6pt;">x</span><span style="font-family: 'Calibri';"> (x + 1) + c</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(b) e</span><span style="font-family: 'Calibri'; font-size: 6pt;">x</span><span style="font-family: 'Calibri';"> (x - 1) + c</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(c) e</span><span style="font-family: 'Calibri'; font-size: 6pt;">x</span><span style="font-family: 'Calibri';"> + c</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; color: #000000;">(d) x - e</span><span style="font-family: 'Calibri'; font-size: 6pt;">x</span><span style="font-family: 'Calibri';"> + c</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Q.77. </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">If two lines of regression are x +2y - 5 = 0 and 2x + 3y - 8 = 0.</span></p>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">The regression line of y on x is</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) x + 2y - 5 = 0</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(b) 2x + 3y - 8 = 0</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) Any of the two lines</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(d) None of the two lines</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(a) x/y</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(b) y/x</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(c) -x/y</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(d) -y/x</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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"/></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.81.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Wholesale Price Index (WPI) is given by:</span>						</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Marshall-</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">Edgeworth</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;"> Index</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">Laspeyre&#039;s</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;"> Index</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">Paasche&#039;s</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;"> Index</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) None of the above</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">Q.82.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">There are 40 students, 30 of them passed. </span><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">in</span><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;"> English, 25 of them passed in </span><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">Maths</span><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;"> and 15 of them passed in both. Assuming that every Student has passed at least in one subject. How many </span><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">student’s</span><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;"> passed in English only but not in </span><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">Maths</span><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">.</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) 15</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(b) 20</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) 10</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(d)25</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.83.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">The sum of first 20 terms of a G.P is 1025 times the sum of first 10 terms then the common ratio is _______.</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) 2</span></p>
</td>
</tr>
<tr>
<td>
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"/></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.84.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Consumer Price Index number for the year 1957 was 313 with 1940 as the base year. The Average Monthly wages in 1957 of the workers in to factory be Rs. 160/- their real wages is :</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Rs. 48.40</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Rs. 51.12</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Rs. 40.30</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) none of these</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">Q.85.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">Find three numbers in G.P. such that their sum is 21, and the sum of their squares is 189:</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(a) 5,7,9</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(b) 3,7,11</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(c) 3,6,12</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(d) 4,8,9</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Q.86.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; font-weight: bold;">Two variables x and y are related according to 4x+3y = 7. Then x and y are :</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a) Positively correlated</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(b) Negatively correlated</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c) Corrrelation is zero</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(d) None of these</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.87. </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Consumer Price index Number goes up from 100 to 200 and salary of a worker is also raised from 300 to 500. </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">what</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> is his current real wages.</span>			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) 300</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) 250</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) 600</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) 350</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">Q.88.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">The second term of an infinite geometric series is (3/2) and its sum is 8. Find the series.</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
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</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.89. </span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Laspeyare&#039;s</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> and </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Paasche&#039;s</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> Method ______ Time </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Reveresal</span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;"> Test:</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a)  Do not satisfy</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Satisfy</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Depends on the case</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) Can&#039;t say</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
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<tr>
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</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(d) None of these</p>
</td>
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<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.91.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">The graph of time series is called:</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Histogram</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Straight line</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">Historigram</span></p>
</td>
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<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) </span><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">Ogive</span></p>
</td>
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<p>&nbsp;</p>
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<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
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<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">Q.92.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">The sum of an A P, whose first term is -4 and last term is 146 is 7171. Find the value of n.</span></p>
</td>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(a) 99</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(b) 100</span></p>
</td>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(c) 101</span></p>
</td>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(d) 102</span></p>
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<p>&nbsp;</p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.93.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">The unsystematic sequence which follows irregular pattern of variations is called:</span></p>
</td>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Noise</span></p>
</td>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Signal</span></p>
</td>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Linear</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Non-linear</span></p>
</td>
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<p>&nbsp;</p>
<table class="TableGrid">
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<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
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<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.94.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Most frequency used mathematical model of a time series is:</span></p>
<p>&nbsp;</p>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Additive model</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Mixed model</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Multiplicative model</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) Regression</span></p>
</td>
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<p>&nbsp;</p>
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<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
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<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">Q.95.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">If the sum of the 4th term and the 12th term of an A.P. is </span><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;">8 ,</span><span style="font-family: 'Calibri'; font-size: 12pt; font-weight: bold;"> what is the sum of the first 15 terms of  the progression ?</span>			</p>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
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<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(a) 60</span></p>
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<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(b) 120</span></p>
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<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(c) 110</span></p>
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<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(d) 150</span></p>
</td>
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<p>&nbsp;</p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
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<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.96.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">The most commonly used mathematical method for measuring the trend is:</span></p>
</td>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Moving average method</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Semi average method</span></p>
</td>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Method of least squares</span></p>
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<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) None of them</span></p>
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<p>&nbsp;</p>
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<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
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<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">Q.97.</span>	<span style="font-weight: bold;">If sum of 3 arithmetic means between “</span><span style="font-weight: bold;">a and</span><span style="font-weight: bold;"> 22 is 42 then “a” = ________.</span></p>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;"> </span></p>
</td>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(a)14</p>
</td>
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<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;">(b) 11</p>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">(c)10</p>
</td>
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<td>
<p style="margin-top: 0; margin-bottom: 0;">(d) 6</p>
</td>
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<p>&nbsp;</p>
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<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
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<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.98.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">In moving average method, we cannot find the trend values of some:</span></p>
<p>&nbsp;</p>
</td>
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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Middle periods</span></p>
</td>
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<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) End periods</span></p>
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<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Starting periods</span></p>
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<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) Extreme periods</span></p>
</td>
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<p>&nbsp;</p>
<table class="TableGrid">
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<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
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<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">Q.99.</span>	<span style="font-family: 'Calibri'; font-size: 12pt; color: #000000; font-weight: bold;">Divide 144 into three parts which are in AP and such that the largest is twice the smallest, the smallest of three numbers will be:</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
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<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(a) 48</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(b) 36</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(c) 13</span></p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Calibri'; font-size: 12pt; color: #000000;">(d) 32</span></p>
</td>
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</table>
<p>&nbsp;</p>
<table class="TableGrid">
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<td>
<p style="margin-top: 0; margin-bottom: 0;">4</p>
</td>
</tr>
<tr>
<td>
<p style="text-align: justify; margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">Q.100.</span>	<span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000; font-weight: bold;">The trend values in freehand curve method are obtained by:</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(a) Equation of straight line</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(b) Graph</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(c) Second degree parabola</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Times New Roman'; font-size: 12pt; color: #000000;">(d) All of above</span></p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
</body>
</html>

Anon7 - 2021