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) = 1020, n(A) = 390, n(B) = 680 and n(A∩B) = 110, find n(A‘∩B‘).
Answer:_______________ |
| 2) If A and B are two sets and U is the universal set such that n(U) = 1039, n(A) = 320, n(B) = 579 and n(A∩B) = 191, find n(A‘∩B‘).
Answer:_______________ |
| 3) 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:_______________ |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1370, n(A) = 370, n(B) = 660 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) = 1760, n(A) = 304, n(B) = 539 and n(A∩B) = 139, find n(A‘∩B‘).
Answer:_______________ |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1200, n(A) = 300, n(B) = 600 and n(A∩B) = 150, find n(A‘∩B‘).
Answer:_______________ |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1210, n(A) = 320, n(B) = 550 and n(A∩B) = 190, find n(A‘∩B‘).
Answer:_______________ |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1548, n(A) = 399, n(B) = 543 and n(A∩B) = 190, find n(A‘∩B‘).
Answer:_______________ |
| 9) If A and B are two sets and U is the universal set such that n(U) = 1300, n(A) = 350, n(B) = 650 and n(A∩B) = 150, find n(A‘∩B‘).
Answer:_______________ |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1710, n(A) = 380, n(B) = 540 and n(A∩B) = 120, find n(A‘∩B‘).
Answer:_______________ |
| 1) If A and B are two sets and U is the universal set such that n(U) = 1020, n(A) = 390, n(B) = 680 and n(A∩B) = 110, find n(A‘∩B‘). Answer: 60 SOLUTION 1 : Given : n(U) = 1020 n(A) = 390 n(B) = 680 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) = 390 + 680 - 110 = 1070 - 110 = 960 ∴ n(A∪B) = 960 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1020 - 960 = 60 n(A‘∩B‘) = 60 |
| 2) If A and B are two sets and U is the universal set such that n(U) = 1039, n(A) = 320, n(B) = 579 and n(A∩B) = 191, find n(A‘∩B‘). Answer: 331 SOLUTION 1 : Given : n(U) = 1039 n(A) = 320 n(B) = 579 n(A∩B) = 191, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 320 + 579 - 191 = 899 - 191 = 708 ∴ n(A∪B) = 708 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1039 - 708 = 331 n(A‘∩B‘) = 331 |
| 3) 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 |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1370, n(A) = 370, n(B) = 660 and n(A∩B) = 170, find n(A‘∩B‘). Answer: 510 SOLUTION 1 : Given : n(U) = 1370 n(A) = 370 n(B) = 660 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) = 370 + 660 - 170 = 1030 - 170 = 860 ∴ n(A∪B) = 860 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1370 - 860 = 510 n(A‘∩B‘) = 510 |
| 5) If A and B are two sets and U is the universal set such that n(U) = 1760, n(A) = 304, n(B) = 539 and n(A∩B) = 139, find n(A‘∩B‘). Answer: 1056 SOLUTION 1 : Given : n(U) = 1760 n(A) = 304 n(B) = 539 n(A∩B) = 139, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 304 + 539 - 139 = 843 - 139 = 704 ∴ n(A∪B) = 704 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1760 - 704 = 1056 n(A‘∩B‘) = 1056 |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1200, n(A) = 300, n(B) = 600 and n(A∩B) = 150, find n(A‘∩B‘). Answer: 450 SOLUTION 1 : Given : n(U) = 1200 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) = 1200 - 750 = 450 n(A‘∩B‘) = 450 |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1210, n(A) = 320, n(B) = 550 and n(A∩B) = 190, find n(A‘∩B‘). Answer: 530 SOLUTION 1 : Given : n(U) = 1210 n(A) = 320 n(B) = 550 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) = 320 + 550 - 190 = 870 - 190 = 680 ∴ n(A∪B) = 680 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1210 - 680 = 530 n(A‘∩B‘) = 530 |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1548, n(A) = 399, n(B) = 543 and n(A∩B) = 190, find n(A‘∩B‘). Answer: 796 SOLUTION 1 : Given : n(U) = 1548 n(A) = 399 n(B) = 543 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) = 399 + 543 - 190 = 942 - 190 = 752 ∴ n(A∪B) = 752 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1548 - 752 = 796 n(A‘∩B‘) = 796 |
| 9) If A and B are two sets and U is the universal set such that n(U) = 1300, n(A) = 350, n(B) = 650 and n(A∩B) = 150, find n(A‘∩B‘). Answer: 450 SOLUTION 1 : Given : n(U) = 1300 n(A) = 350 n(B) = 650 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 + 650 - 150 = 1000 - 150 = 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 |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1710, n(A) = 380, n(B) = 540 and n(A∩B) = 120, find n(A‘∩B‘). Answer: 910 SOLUTION 1 : Given : n(U) = 1710 n(A) = 380 n(B) = 540 n(A∩B) = 120, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 380 + 540 - 120 = 920 - 120 = 800 ∴ n(A∪B) = 800 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1710 - 800 = 910 n(A‘∩B‘) = 910 |