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) = 1644, n(A) = 387, n(B) = 540 and n(A∩B) = 114, find n(A‘∩B‘).
Answer:_______________ |
| 2) If A and B are two sets and U is the universal set such that n(U) = 1400, n(A) = 350, n(B) = 600 and n(A∩B) = 100, find n(A‘∩B‘).
Answer:_______________ |
| 3) If A and B are two sets and U is the universal set such that n(U) = 1190, n(A) = 360, n(B) = 570 and n(A∩B) = 170, find n(A‘∩B‘).
Answer:_______________ |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1607, n(A) = 370, n(B) = 502 and n(A∩B) = 116, find n(A‘∩B‘).
Answer:_______________ |
| 5) If A and B are two sets and U is the universal set such that n(U) = 1800, n(A) = 300, n(B) = 650 and n(A∩B) = 100, find n(A‘∩B‘).
Answer:_______________ |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1670, n(A) = 330, n(B) = 690 and n(A∩B) = 100, find n(A‘∩B‘).
Answer:_______________ |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1364, n(A) = 367, n(B) = 506 and n(A∩B) = 162, find n(A‘∩B‘).
Answer:_______________ |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1300, n(A) = 350, n(B) = 600 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) = 1440, n(A) = 330, n(B) = 680 and n(A∩B) = 170, find n(A‘∩B‘).
Answer:_______________ |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1198, n(A) = 343, n(B) = 516 and n(A∩B) = 156, find n(A‘∩B‘).
Answer:_______________ |
| 1) If A and B are two sets and U is the universal set such that n(U) = 1644, n(A) = 387, n(B) = 540 and n(A∩B) = 114, find n(A‘∩B‘). Answer: 831 SOLUTION 1 : Given : n(U) = 1644 n(A) = 387 n(B) = 540 n(A∩B) = 114, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 387 + 540 - 114 = 927 - 114 = 813 ∴ n(A∪B) = 813 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1644 - 813 = 831 n(A‘∩B‘) = 831 |
| 2) If A and B are two sets and U is the universal set such that n(U) = 1400, n(A) = 350, n(B) = 600 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 550 SOLUTION 1 : Given : n(U) = 1400 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) = 1400 - 850 = 550 n(A‘∩B‘) = 550 |
| 3) If A and B are two sets and U is the universal set such that n(U) = 1190, n(A) = 360, n(B) = 570 and n(A∩B) = 170, find n(A‘∩B‘). Answer: 430 SOLUTION 1 : Given : n(U) = 1190 n(A) = 360 n(B) = 570 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) = 360 + 570 - 170 = 930 - 170 = 760 ∴ n(A∪B) = 760 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1190 - 760 = 430 n(A‘∩B‘) = 430 |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1607, n(A) = 370, n(B) = 502 and n(A∩B) = 116, find n(A‘∩B‘). Answer: 851 SOLUTION 1 : Given : n(U) = 1607 n(A) = 370 n(B) = 502 n(A∩B) = 116, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 370 + 502 - 116 = 872 - 116 = 756 ∴ n(A∪B) = 756 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1607 - 756 = 851 n(A‘∩B‘) = 851 |
| 5) If A and B are two sets and U is the universal set such that n(U) = 1800, n(A) = 300, n(B) = 650 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 950 SOLUTION 1 : Given : n(U) = 1800 n(A) = 300 n(B) = 650 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 + 650 - 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 |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1670, n(A) = 330, n(B) = 690 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 750 SOLUTION 1 : Given : n(U) = 1670 n(A) = 330 n(B) = 690 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) = 330 + 690 - 100 = 1020 - 100 = 920 ∴ n(A∪B) = 920 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1670 - 920 = 750 n(A‘∩B‘) = 750 |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1364, n(A) = 367, n(B) = 506 and n(A∩B) = 162, find n(A‘∩B‘). Answer: 653 SOLUTION 1 : Given : n(U) = 1364 n(A) = 367 n(B) = 506 n(A∩B) = 162, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 367 + 506 - 162 = 873 - 162 = 711 ∴ n(A∪B) = 711 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1364 - 711 = 653 n(A‘∩B‘) = 653 |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1300, n(A) = 350, n(B) = 600 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 450 SOLUTION 1 : Given : n(U) = 1300 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) = 1300 - 850 = 450 n(A‘∩B‘) = 450 |
| 9) If A and B are two sets and U is the universal set such that n(U) = 1440, n(A) = 330, n(B) = 680 and n(A∩B) = 170, find n(A‘∩B‘). Answer: 600 SOLUTION 1 : Given : n(U) = 1440 n(A) = 330 n(B) = 680 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 + 680 - 170 = 1010 - 170 = 840 ∴ n(A∪B) = 840 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1440 - 840 = 600 n(A‘∩B‘) = 600 |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1198, n(A) = 343, n(B) = 516 and n(A∩B) = 156, find n(A‘∩B‘). Answer: 495 SOLUTION 1 : Given : n(U) = 1198 n(A) = 343 n(B) = 516 n(A∩B) = 156, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 343 + 516 - 156 = 859 - 156 = 703 ∴ n(A∪B) = 703 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1198 - 703 = 495 n(A‘∩B‘) = 495 |