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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Cambria'; font-weight: bold;">Examine whether the sets are null sets: Set of odd natural numbers divisible by 2 </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: 'Cambria';">Yes</span>	</p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Cambria';">Not</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Cambria';">Not Applicable</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-family: 'Cambria';">None  of these</span></p>
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<p style="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">Examine </span><span style="font-weight: bold;">whether the sets are null sets:</span><img border="0" style="width: 351px; height: 44px;" src="data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RDaRXhpZgAATU0AKgAAAAgABAE7AAIAAAAFAAAISodpAAQA
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</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;">No			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Yes			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Not Applicable 		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">State whether sets are finite or infinite :    </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;">Finite		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Infinite		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Not Applicable</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">In the state whether p,</span><span style="font-weight: bold;"> </span><span style="font-weight: bold;">q,</span><span style="font-weight: bold;"> </span><span style="font-weight: bold;">r,</span><span style="font-weight: bold;"> </span><span style="font-weight: bold;">s are equal or not </span>p=</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="margin-top: 0; margin-bottom: 0;">p = r		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">p = r = s		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">p = q = r			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">None of these.</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>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">Write the number of subsets of A if it contains : n elements </span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2			</p>
</td>
</tr>
<tr>
<td>
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</td>
</tr>
<tr>
<td>
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</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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">Write the intervals : </span><img border="0" style="width: 519px; height: 84px;" src="data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RDaRXhpZgAATU0AKgAAAAgABAE7AAIAAAAFAAAISodpAAQA
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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;"> (-5,5)		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"> (-5,5 ]		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"> [-5, 5 ]			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">Write the intervals in set-builder form: (-5, 0 )</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;"> (-5, 6, 7 )		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><img border="0" style="width: 415px; height: 64px;" src="data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RDaRXhpZgAATU0AKgAAAAgABAE7AAIAAAAFAAAISodpAAQA
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AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
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AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
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"/>	</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">{-5, 6, 7 } 		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">Write the intervals in set-builder form : [3, 12]</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;">{3,4,5,6,7,8,9,10,11,12}				</p>
</td>
</tr>
<tr>
<td>
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"/></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">{ 4,5,6,7,8,9,10,11} 				</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">None of these.</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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">Let A= {</span><span style="font-weight: bold;">a,b</span><span style="font-weight: bold;">}, B= {</span><span style="font-weight: bold;">a,b,c</span><span style="font-weight: bold;">}, Is</span></p>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;"> </span><img border="0" style="width: 264px; height: 27px;" src="data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RDaRXhpZgAATU0AKgAAAAgABAE7AAIAAAAFAAAISodpAAQA
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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;">Yes {a,b,c}		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">{a,b}		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Yes			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;"><img border="0" style="width: 807px; height: 32px;" src="data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RDaRXhpZgAATU0AKgAAAAgABAE7AAIAAAAFAAAISodpAAQA
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</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				</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">B			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Both		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">If A = { is a natural number} , B = { is an even natural number} then A B</span></p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">3</p>
</td>
</tr>
<tr>
<td>
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bDexLkxs2Q8RPdXHKngdDz3r51+LHwC8O+CPB954i0zXL6NYCqpaXSJL5rswAUMNuOueh4BoU3CL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"/>			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">A			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Both			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">In a group of 400 people, 250 can speak English only and 70 can speak Hindi only. How many can speak English?</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;">303</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">331		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">330	</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">None of these.</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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">In a class of 25 students, 12 students have taken Economics; 8 have taken Economics but not Maths. Those who have taken maths but not Economics.</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;">31			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">30</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">13</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">In a survey of 400 students in a school, 100 were listed as taking apple juice, 150 as taking orange juice and 75 were listed as taking both apple as well as orange juice. Find how many students were taking neither apple juice nor orange juice.</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;">220			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">225</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">226</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">Out of 50 students in a class, 16 study English, 22 Accountancy and 36 economics. 5 study English and economics, 14 Accountancy and Economics and 2 study all the three subjects. It each student studies at least one of the three subjects, find the number of students who study English and Accountancy but not Economics,</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;">15			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">25</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">5</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">In a survey of 100 persons it was found that 28 read magazine A, 30 read magazine B, 42 read magazine C, 8 read magazines A and B , 10 read magazines A and C, 5 read magazines B and C and 3 read all the magazines. How many read magazine C only?</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;">30		</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;">300</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">None of these.</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<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>
<p style="margin-top: 0; margin-bottom: 0;">If A= {a, b}, = B = {c, d}, C = {d, e } , then find (AXB)   (AXC)</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, c), (a, d), (a, e) } 		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">{(a,c), (a,d), (a,e) (b,c), (b,d),(b,e)}	</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">{(a,c ), (a,e)} 	</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;">Let A = {1,2,3}, B = {3,4} and C ={4,5,6}. Find A X (B   C )</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;">{(1,4), (2,4), (3,4)}	</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">{(2,4) (1,4)}		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">{(2,4), (3,4)}					</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;">A and B are two sets given in such a way that A x B contains 6 elements. If three elements of A x B be (1,3), (2,5) and (3,3), find its remaining elements.</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;">{(1,5), (2,3)}					</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">{(1,3), (2,3)}</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"> (1,5), (2,3), (3,5)					</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;">Let A= {1,2,3,4,5,6}. Define a relation R form A to A by A = { (x, y) : y=x+1}. Write down the domain and range of R.</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;">R={(1,2), (2,3), (3,4), (4,5), (5,6)} D={(1,3,4} ; R={(2,4,5,6)}</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">R={(1,2), (2,3), (3,4), (4,5), (5,6)} D={(1,2,3,4,5}; R={(2,3,4,5,6}</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">R= {(2,3), (5,6),(7,8)} D= {(5,6,7,8}; R = {(1,2.3,4)}			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">None of these.</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<table class="TableGrid">
<tr>
<td>
<p>&nbsp;</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Let A = {1,2,3, …………14}, Defind a relation R from A to A by R = {(x,y): 3x-y = 0, where x,y  A}. Write down its domain, and range.</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;">R={(1,3),(2,6),(3,9), (4,12)} D = {1,2,3,4}; R = {3,6,9,12}</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">R = {( 1,2),(3,4), (5,6)} D = {(6,6,7} ; R = {(1,2,3,4}</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">R = {(2,6),(2,5), (4,12)} D = {(3,6,9,12} R = {(1,2,3,4}</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">None of these.</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="margin-top: 0; margin-bottom: 0;">Let A = { 1,2,3, ………25} and R is the relation  “is one fourth of’’ in A. Write R as a subset of AxA Also find the domain and range of R.</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;">R = {(1,4), (3,12), (6,24)} D = {4,8,12,24}; R = {(1,2,3,4}</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">R = {( 1,2), (3,4), (1,3), (1,4)} D = {4,8,12,24}; R = {(1,2,3,4,5,6}</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">R = {(1,4), (2,8),(3,12), (4,16), (5,20), (6,24)}; D = {(1,2,3,4,5,6}; R = {4,8,12,16,20,24}</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;">Let R be the relation on the set N of natural numbers defined by a + 3b=12, Find R</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;">{(9,1),(6,2), (3,3)}		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">{(9,1), (6,2)}	</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">{(9,1), (3,3)}	</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">{(6,3), (4,4)}</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="margin-top: 0; margin-bottom: 0;">In a class of 80 students, 35% play only cricket, 45% only Tennis, How many play Cricket ?</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;">86			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">54			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">36				</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">44</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="margin-top: 0; margin-bottom: 0;">Whether function is odd or even f(x) =  </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;">Even		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Odd			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Not Verified	</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;">Write the domain of functions :   </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;">R			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">R –[3,4]			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">R – [3] 		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">None of these.</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="margin-top: 0; margin-bottom: 0;">Write the range of :  </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;">{0,   ]		</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;">{-2}		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">{-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>
<p style="margin-top: 0; margin-bottom: 0;">Find the domain and range of the functions : y =  </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;">Domain = R – {6}, Range = R – {12}</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Domain = R – {-6}, Range = R – {-2}</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Domain = R – {6}, Range = R – {-12}</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;">Find the domain and range of the functions : y =   +4</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;">Domain = {-Ve}, Range = +Ve</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Domain = Domain all real, Range = All real </p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">Domain = Not real, Range = Not real	</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">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="margin-top: 0; margin-bottom: 0;">A function ‘f on the set R of real number is defined by y = f(x) =x  complete the table given below by using this definition. Find the domain and range of this function?  </p>
<p style="margin-top: 0; margin-bottom: 0;"><img border="0" style="width: 557px; height: 64px;" src="data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RDaRXhpZgAATU0AKgAAAAgABAE7AAIAAAAFAAAISodpAAQA
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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;">	(a) 16,9,4,1,0,1,4,9,16; Domain {  :     R}, Range = {x : x   0, X  </p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">	(b) 4,3,2,1; Domain { C;     R }, Range = {  :   } </p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">	(c) 4,5,6; Domain {  :     R }, Range = {    R}</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="margin-top: 0; margin-bottom: 0;">If f is defined by the rule f(x) =  </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;"> (1,3)		</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;">1+   		</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">None of these</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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</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;">2.1			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">5.1				</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">6.1			</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">1.2</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;">3</p>
</td>
</tr>
<tr>
<td>
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</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">None of these.</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<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>
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<p style="margin-top: 0; margin-bottom: 0;">1</p>
</td>
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</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">3</span></p>
</td>
</tr>
<tr>
<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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">If f is an exponential function and g is a logarithmic function then find : (</span><span style="font-weight: bold;">f+g</span><span style="font-weight: bold;">) (1)</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;"> e			</p>
</td>
</tr>
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<td>
<p style="margin-top: 0; margin-bottom: 0;">4x-9		</p>
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<p>&nbsp;</p>
<table class="TableGrid">
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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;">2</p>
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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="margin-top: 0; margin-bottom: 0;"><span style="font-weight: bold;">For any two sets A and B the set (AUB’)’ is Equal to (where’ denotes compliment of the set)</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;">B – A</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">A - B </p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">A’ – B’ </p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">B’ – A’</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;">3</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">15</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">20</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">10</p>
</td>
</tr>
<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">25</p>
</td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<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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<tr>
<td>
<p style="margin-top: 0; margin-bottom: 0;">2</p>
</td>
</tr>
<tr>
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</td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
</body>
</html>
Anon7 - 2021