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) = 1270, n(A) = 380, n(B) = 530 and n(A∩B) = 170, find n(A‘∩B‘).
Answer:_______________ |
| 2) If A and B are two sets and U is the universal set such that n(U) = 1600, n(A) = 300, n(B) = 550 and n(A∩B) = 150, find n(A‘∩B‘).
Answer:_______________ |
| 3) If A and B are two sets and U is the universal set such that n(U) = 1033, n(A) = 382, n(B) = 575 and n(A∩B) = 157, find n(A‘∩B‘).
Answer:_______________ |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1180, n(A) = 300, n(B) = 640 and n(A∩B) = 170, find n(A‘∩B‘).
Answer:_______________ |
| 5) If A and B are two sets and U is the universal set such that n(U) = 1200, n(A) = 350, n(B) = 650 and n(A∩B) = 200, find n(A‘∩B‘).
Answer:_______________ |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1030, n(A) = 374, n(B) = 513 and n(A∩B) = 179, find n(A‘∩B‘).
Answer:_______________ |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1370, n(A) = 330, n(B) = 650 and n(A∩B) = 170, find n(A‘∩B‘).
Answer:_______________ |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1200, n(A) = 300, n(B) = 500 and n(A∩B) = 100, find n(A‘∩B‘).
Answer:_______________ |
| 9) If A and B are two sets and U is the universal set such that n(U) = 1624, n(A) = 361, n(B) = 571 and n(A∩B) = 196, find n(A‘∩B‘).
Answer:_______________ |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1000, n(A) = 380, n(B) = 680 and n(A∩B) = 140, find n(A‘∩B‘).
Answer:_______________ |
| 1) If A and B are two sets and U is the universal set such that n(U) = 1270, n(A) = 380, n(B) = 530 and n(A∩B) = 170, find n(A‘∩B‘). Answer: 530 SOLUTION 1 : Given : n(U) = 1270 n(A) = 380 n(B) = 530 n(A∩B) = 170, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 380 + 530 - 170 = 910 - 170 = 740 ∴ n(A∪B) = 740 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1270 - 740 = 530 n(A‘∩B‘) = 530 |
| 2) If A and B are two sets and U is the universal set such that n(U) = 1600, n(A) = 300, n(B) = 550 and n(A∩B) = 150, find n(A‘∩B‘). Answer: 900 SOLUTION 1 : Given : n(U) = 1600 n(A) = 300 n(B) = 550 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 + 550 - 150 = 850 - 150 = 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 |
| 3) If A and B are two sets and U is the universal set such that n(U) = 1033, n(A) = 382, n(B) = 575 and n(A∩B) = 157, find n(A‘∩B‘). Answer: 233 SOLUTION 1 : Given : n(U) = 1033 n(A) = 382 n(B) = 575 n(A∩B) = 157, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 382 + 575 - 157 = 957 - 157 = 800 ∴ n(A∪B) = 800 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1033 - 800 = 233 n(A‘∩B‘) = 233 |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1180, n(A) = 300, n(B) = 640 and n(A∩B) = 170, find n(A‘∩B‘). Answer: 410 SOLUTION 1 : Given : n(U) = 1180 n(A) = 300 n(B) = 640 n(A∩B) = 170, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 300 + 640 - 170 = 940 - 170 = 770 ∴ n(A∪B) = 770 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1180 - 770 = 410 n(A‘∩B‘) = 410 |
| 5) If A and B are two sets and U is the universal set such that n(U) = 1200, n(A) = 350, n(B) = 650 and n(A∩B) = 200, find n(A‘∩B‘). Answer: 400 SOLUTION 1 : Given : n(U) = 1200 n(A) = 350 n(B) = 650 n(A∩B) = 200, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 350 + 650 - 200 = 1000 - 200 = 800 ∴ n(A∪B) = 800 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1200 - 800 = 400 n(A‘∩B‘) = 400 |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1030, n(A) = 374, n(B) = 513 and n(A∩B) = 179, find n(A‘∩B‘). Answer: 322 SOLUTION 1 : Given : n(U) = 1030 n(A) = 374 n(B) = 513 n(A∩B) = 179, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 374 + 513 - 179 = 887 - 179 = 708 ∴ n(A∪B) = 708 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1030 - 708 = 322 n(A‘∩B‘) = 322 |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1370, n(A) = 330, n(B) = 650 and n(A∩B) = 170, find n(A‘∩B‘). Answer: 560 SOLUTION 1 : Given : n(U) = 1370 n(A) = 330 n(B) = 650 n(A∩B) = 170, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 330 + 650 - 170 = 980 - 170 = 810 ∴ n(A∪B) = 810 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1370 - 810 = 560 n(A‘∩B‘) = 560 |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1200, n(A) = 300, n(B) = 500 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 500 SOLUTION 1 : Given : n(U) = 1200 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) = 1200 - 700 = 500 n(A‘∩B‘) = 500 |
| 9) If A and B are two sets and U is the universal set such that n(U) = 1624, n(A) = 361, n(B) = 571 and n(A∩B) = 196, find n(A‘∩B‘). Answer: 888 SOLUTION 1 : Given : n(U) = 1624 n(A) = 361 n(B) = 571 n(A∩B) = 196, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 361 + 571 - 196 = 932 - 196 = 736 ∴ n(A∪B) = 736 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1624 - 736 = 888 n(A‘∩B‘) = 888 |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1000, n(A) = 380, n(B) = 680 and n(A∩B) = 140, find n(A‘∩B‘). Answer: 80 SOLUTION 1 : Given : n(U) = 1000 n(A) = 380 n(B) = 680 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) = 380 + 680 - 140 = 1060 - 140 = 920 ∴ n(A∪B) = 920 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1000 - 920 = 80 n(A‘∩B‘) = 80 |