Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) If A and B are two sets and U is the universal set such that n(U) = 1800, n(A) = 350, n(B) = 600 and n(A∩B) = 150, find n(A‘∩B‘).
Answer:_______________ |
| 2) If A and B are two sets and U is the universal set such that n(U) = 1093, n(A) = 319, n(B) = 504 and n(A∩B) = 145, find n(A‘∩B‘).
Answer:_______________ |
| 3) If A and B are two sets and U is the universal set such that n(U) = 1050, n(A) = 340, n(B) = 620 and n(A∩B) = 140, find n(A‘∩B‘).
Answer:_______________ |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1600, n(A) = 300, n(B) = 500 and n(A∩B) = 100, find n(A‘∩B‘).
Answer:_______________ |
| 5) If A and B are two sets and U is the universal set such that n(U) = 1511, n(A) = 392, n(B) = 513 and n(A∩B) = 110, find n(A‘∩B‘).
Answer:_______________ |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1340, n(A) = 340, n(B) = 570 and n(A∩B) = 190, find n(A‘∩B‘).
Answer:_______________ |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1800, n(A) = 350, n(B) = 600 and n(A∩B) = 100, find n(A‘∩B‘).
Answer:_______________ |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1006, n(A) = 373, n(B) = 553 and n(A∩B) = 119, find n(A‘∩B‘).
Answer:_______________ |
| 9) If A and B are two sets and U is the universal set such that n(U) = 1070, n(A) = 330, n(B) = 590 and n(A∩B) = 160, find n(A‘∩B‘).
Answer:_______________ |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1500, n(A) = 300, n(B) = 600 and n(A∩B) = 150, find n(A‘∩B‘).
Answer:_______________ |
| 1) If A and B are two sets and U is the universal set such that n(U) = 1800, n(A) = 350, n(B) = 600 and n(A∩B) = 150, find n(A‘∩B‘). Answer: 1000 SOLUTION 1 : Given : n(U) = 1800 n(A) = 350 n(B) = 600 n(A∩B) = 150, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 350 + 600 - 150 = 950 - 150 = 800 ∴ n(A∪B) = 800 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1800 - 800 = 1000 n(A‘∩B‘) = 1000 |
| 2) If A and B are two sets and U is the universal set such that n(U) = 1093, n(A) = 319, n(B) = 504 and n(A∩B) = 145, find n(A‘∩B‘). Answer: 415 SOLUTION 1 : Given : n(U) = 1093 n(A) = 319 n(B) = 504 n(A∩B) = 145, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 319 + 504 - 145 = 823 - 145 = 678 ∴ n(A∪B) = 678 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1093 - 678 = 415 n(A‘∩B‘) = 415 |
| 3) If A and B are two sets and U is the universal set such that n(U) = 1050, n(A) = 340, n(B) = 620 and n(A∩B) = 140, find n(A‘∩B‘). Answer: 230 SOLUTION 1 : Given : n(U) = 1050 n(A) = 340 n(B) = 620 n(A∩B) = 140, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 340 + 620 - 140 = 960 - 140 = 820 ∴ n(A∪B) = 820 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1050 - 820 = 230 n(A‘∩B‘) = 230 |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1600, n(A) = 300, n(B) = 500 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 900 SOLUTION 1 : Given : n(U) = 1600 n(A) = 300 n(B) = 500 n(A∩B) = 100, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 300 + 500 - 100 = 800 - 100 = 700 ∴ n(A∪B) = 700 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1600 - 700 = 900 n(A‘∩B‘) = 900 |
| 5) If A and B are two sets and U is the universal set such that n(U) = 1511, n(A) = 392, n(B) = 513 and n(A∩B) = 110, find n(A‘∩B‘). Answer: 716 SOLUTION 1 : Given : n(U) = 1511 n(A) = 392 n(B) = 513 n(A∩B) = 110, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 392 + 513 - 110 = 905 - 110 = 795 ∴ n(A∪B) = 795 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1511 - 795 = 716 n(A‘∩B‘) = 716 |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1340, n(A) = 340, n(B) = 570 and n(A∩B) = 190, find n(A‘∩B‘). Answer: 620 SOLUTION 1 : Given : n(U) = 1340 n(A) = 340 n(B) = 570 n(A∩B) = 190, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 340 + 570 - 190 = 910 - 190 = 720 ∴ n(A∪B) = 720 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1340 - 720 = 620 n(A‘∩B‘) = 620 |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1800, n(A) = 350, n(B) = 600 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 950 SOLUTION 1 : Given : n(U) = 1800 n(A) = 350 n(B) = 600 n(A∩B) = 100, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 350 + 600 - 100 = 950 - 100 = 850 ∴ n(A∪B) = 850 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1800 - 850 = 950 n(A‘∩B‘) = 950 |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1006, n(A) = 373, n(B) = 553 and n(A∩B) = 119, find n(A‘∩B‘). Answer: 199 SOLUTION 1 : Given : n(U) = 1006 n(A) = 373 n(B) = 553 n(A∩B) = 119, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 373 + 553 - 119 = 926 - 119 = 807 ∴ n(A∪B) = 807 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1006 - 807 = 199 n(A‘∩B‘) = 199 |
| 9) If A and B are two sets and U is the universal set such that n(U) = 1070, n(A) = 330, n(B) = 590 and n(A∩B) = 160, find n(A‘∩B‘). Answer: 310 SOLUTION 1 : Given : n(U) = 1070 n(A) = 330 n(B) = 590 n(A∩B) = 160, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 330 + 590 - 160 = 920 - 160 = 760 ∴ n(A∪B) = 760 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1070 - 760 = 310 n(A‘∩B‘) = 310 |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1500, n(A) = 300, n(B) = 600 and n(A∩B) = 150, find n(A‘∩B‘). Answer: 750 SOLUTION 1 : Given : n(U) = 1500 n(A) = 300 n(B) = 600 n(A∩B) = 150, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 300 + 600 - 150 = 900 - 150 = 750 ∴ n(A∪B) = 750 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1500 - 750 = 750 n(A‘∩B‘) = 750 |