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) = 1514, n(A) = 300, n(B) = 543 and n(A∩B) = 148, find n(A‘∩B‘).
Answer:_______________ |
| 2) If A and B are two sets and U is the universal set such that n(U) = 1300, n(A) = 320, n(B) = 500 and n(A∩B) = 110, find n(A‘∩B‘).
Answer:_______________ |
| 3) If A and B are two sets and U is the universal set such that n(U) = 1700, n(A) = 350, n(B) = 550 and n(A∩B) = 100, find n(A‘∩B‘).
Answer:_______________ |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1620, n(A) = 382, n(B) = 515 and n(A∩B) = 123, find n(A‘∩B‘).
Answer:_______________ |
| 5) If A and B are two sets and U is the universal set such that n(U) = 1050, n(A) = 360, n(B) = 600 and n(A∩B) = 160, find n(A‘∩B‘).
Answer:_______________ |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1000, n(A) = 300, n(B) = 500 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) = 1644, n(A) = 383, n(B) = 598 and n(A∩B) = 182, find n(A‘∩B‘).
Answer:_______________ |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1830, n(A) = 340, n(B) = 540 and n(A∩B) = 160, find n(A‘∩B‘).
Answer:_______________ |
| 9) 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) = 150, find n(A‘∩B‘).
Answer:_______________ |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1538, n(A) = 303, n(B) = 587 and n(A∩B) = 116, find n(A‘∩B‘).
Answer:_______________ |
| 1) If A and B are two sets and U is the universal set such that n(U) = 1514, n(A) = 300, n(B) = 543 and n(A∩B) = 148, find n(A‘∩B‘). Answer: 819 SOLUTION 1 : Given : n(U) = 1514 n(A) = 300 n(B) = 543 n(A∩B) = 148, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 300 + 543 - 148 = 843 - 148 = 695 ∴ n(A∪B) = 695 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1514 - 695 = 819 n(A‘∩B‘) = 819 |
| 2) If A and B are two sets and U is the universal set such that n(U) = 1300, n(A) = 320, n(B) = 500 and n(A∩B) = 110, find n(A‘∩B‘). Answer: 590 SOLUTION 1 : Given : n(U) = 1300 n(A) = 320 n(B) = 500 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) = 320 + 500 - 110 = 820 - 110 = 710 ∴ n(A∪B) = 710 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1300 - 710 = 590 n(A‘∩B‘) = 590 |
| 3) If A and B are two sets and U is the universal set such that n(U) = 1700, n(A) = 350, n(B) = 550 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 900 SOLUTION 1 : Given : n(U) = 1700 n(A) = 350 n(B) = 550 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 + 550 - 100 = 900 - 100 = 800 ∴ n(A∪B) = 800 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1700 - 800 = 900 n(A‘∩B‘) = 900 |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1620, n(A) = 382, n(B) = 515 and n(A∩B) = 123, find n(A‘∩B‘). Answer: 846 SOLUTION 1 : Given : n(U) = 1620 n(A) = 382 n(B) = 515 n(A∩B) = 123, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 382 + 515 - 123 = 897 - 123 = 774 ∴ n(A∪B) = 774 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1620 - 774 = 846 n(A‘∩B‘) = 846 |
| 5) If A and B are two sets and U is the universal set such that n(U) = 1050, n(A) = 360, n(B) = 600 and n(A∩B) = 160, find n(A‘∩B‘). Answer: 250 SOLUTION 1 : Given : n(U) = 1050 n(A) = 360 n(B) = 600 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) = 360 + 600 - 160 = 960 - 160 = 800 ∴ n(A∪B) = 800 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1050 - 800 = 250 n(A‘∩B‘) = 250 |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1000, n(A) = 300, n(B) = 500 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 300 SOLUTION 1 : Given : n(U) = 1000 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) = 1000 - 700 = 300 n(A‘∩B‘) = 300 |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1644, n(A) = 383, n(B) = 598 and n(A∩B) = 182, find n(A‘∩B‘). Answer: 845 SOLUTION 1 : Given : n(U) = 1644 n(A) = 383 n(B) = 598 n(A∩B) = 182, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 383 + 598 - 182 = 981 - 182 = 799 ∴ n(A∪B) = 799 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1644 - 799 = 845 n(A‘∩B‘) = 845 |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1830, n(A) = 340, n(B) = 540 and n(A∩B) = 160, find n(A‘∩B‘). Answer: 1110 SOLUTION 1 : Given : n(U) = 1830 n(A) = 340 n(B) = 540 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) = 340 + 540 - 160 = 880 - 160 = 720 ∴ n(A∪B) = 720 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1830 - 720 = 1110 n(A‘∩B‘) = 1110 |
| 9) 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) = 150, find n(A‘∩B‘). Answer: 600 SOLUTION 1 : Given : n(U) = 1400 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) = 1400 - 800 = 600 n(A‘∩B‘) = 600 |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1538, n(A) = 303, n(B) = 587 and n(A∩B) = 116, find n(A‘∩B‘). Answer: 764 SOLUTION 1 : Given : n(U) = 1538 n(A) = 303 n(B) = 587 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) = 303 + 587 - 116 = 890 - 116 = 774 ∴ n(A∪B) = 774 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1538 - 774 = 764 n(A‘∩B‘) = 764 |