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) = 1383, n(A) = 392, n(B) = 598 and n(A∩B) = 169, find n(A‘∩B‘).
Answer:_______________ |
| 3) If A and B are two sets and U is the universal set such that n(U) = 1890, n(A) = 380, n(B) = 500 and n(A∩B) = 130, find n(A‘∩B‘).
Answer:_______________ |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1500, n(A) = 300, n(B) = 650 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) = 1816, n(A) = 363, n(B) = 559 and n(A∩B) = 178, find n(A‘∩B‘).
Answer:_______________ |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1540, n(A) = 390, n(B) = 550 and n(A∩B) = 180, find n(A‘∩B‘).
Answer:_______________ |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1000, n(A) = 350, n(B) = 600 and n(A∩B) = 150, find n(A‘∩B‘).
Answer:_______________ |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1416, n(A) = 322, n(B) = 530 and n(A∩B) = 114, find n(A‘∩B‘).
Answer:_______________ |
| 9) If A and B are two sets and U is the universal set such that n(U) = 1130, n(A) = 350, n(B) = 570 and n(A∩B) = 110, find n(A‘∩B‘).
Answer:_______________ |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1100, n(A) = 350, n(B) = 650 and n(A∩B) = 100, 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) = 1383, n(A) = 392, n(B) = 598 and n(A∩B) = 169, find n(A‘∩B‘). Answer: 562 SOLUTION 1 : Given : n(U) = 1383 n(A) = 392 n(B) = 598 n(A∩B) = 169, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 392 + 598 - 169 = 990 - 169 = 821 ∴ n(A∪B) = 821 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1383 - 821 = 562 n(A‘∩B‘) = 562 |
| 3) If A and B are two sets and U is the universal set such that n(U) = 1890, n(A) = 380, n(B) = 500 and n(A∩B) = 130, find n(A‘∩B‘). Answer: 1140 SOLUTION 1 : Given : n(U) = 1890 n(A) = 380 n(B) = 500 n(A∩B) = 130, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 380 + 500 - 130 = 880 - 130 = 750 ∴ n(A∪B) = 750 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1890 - 750 = 1140 n(A‘∩B‘) = 1140 |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1500, n(A) = 300, n(B) = 650 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 650 SOLUTION 1 : Given : n(U) = 1500 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) = 1500 - 850 = 650 n(A‘∩B‘) = 650 |
| 5) If A and B are two sets and U is the universal set such that n(U) = 1816, n(A) = 363, n(B) = 559 and n(A∩B) = 178, find n(A‘∩B‘). Answer: 1072 SOLUTION 1 : Given : n(U) = 1816 n(A) = 363 n(B) = 559 n(A∩B) = 178, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 363 + 559 - 178 = 922 - 178 = 744 ∴ n(A∪B) = 744 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1816 - 744 = 1072 n(A‘∩B‘) = 1072 |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1540, n(A) = 390, n(B) = 550 and n(A∩B) = 180, find n(A‘∩B‘). Answer: 780 SOLUTION 1 : Given : n(U) = 1540 n(A) = 390 n(B) = 550 n(A∩B) = 180, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 390 + 550 - 180 = 940 - 180 = 760 ∴ n(A∪B) = 760 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1540 - 760 = 780 n(A‘∩B‘) = 780 |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1000, n(A) = 350, n(B) = 600 and n(A∩B) = 150, find n(A‘∩B‘). Answer: 200 SOLUTION 1 : Given : n(U) = 1000 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) = 1000 - 800 = 200 n(A‘∩B‘) = 200 |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1416, n(A) = 322, n(B) = 530 and n(A∩B) = 114, find n(A‘∩B‘). Answer: 678 SOLUTION 1 : Given : n(U) = 1416 n(A) = 322 n(B) = 530 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) = 322 + 530 - 114 = 852 - 114 = 738 ∴ n(A∪B) = 738 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1416 - 738 = 678 n(A‘∩B‘) = 678 |
| 9) If A and B are two sets and U is the universal set such that n(U) = 1130, n(A) = 350, n(B) = 570 and n(A∩B) = 110, find n(A‘∩B‘). Answer: 320 SOLUTION 1 : Given : n(U) = 1130 n(A) = 350 n(B) = 570 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) = 350 + 570 - 110 = 920 - 110 = 810 ∴ n(A∪B) = 810 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1130 - 810 = 320 n(A‘∩B‘) = 320 |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1100, n(A) = 350, n(B) = 650 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 200 SOLUTION 1 : Given : n(U) = 1100 n(A) = 350 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) = 350 + 650 - 100 = 1000 - 100 = 900 ∴ n(A∪B) = 900 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1100 - 900 = 200 n(A‘∩B‘) = 200 |