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) = 1560, n(A) = 390, n(B) = 560 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) = 1600, n(A) = 300, n(B) = 500 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) = 1878, n(A) = 321, n(B) = 531 and n(A∩B) = 115, find n(A‘∩B‘).
Answer:_______________ |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1490, n(A) = 370, n(B) = 620 and n(A∩B) = 130, 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) = 350, n(B) = 600 and n(A∩B) = 150, find n(A‘∩B‘).
Answer:_______________ |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1312, n(A) = 329, n(B) = 553 and n(A∩B) = 131, find n(A‘∩B‘).
Answer:_______________ |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1830, n(A) = 370, n(B) = 660 and n(A∩B) = 140, find n(A‘∩B‘).
Answer:_______________ |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1500, n(A) = 300, n(B) = 550 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) = 1630, n(A) = 320, n(B) = 586 and n(A∩B) = 112, find n(A‘∩B‘).
Answer:_______________ |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1840, n(A) = 360, n(B) = 530 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) = 1560, n(A) = 390, n(B) = 560 and n(A∩B) = 110, find n(A‘∩B‘). Answer: 720 SOLUTION 1 : Given : n(U) = 1560 n(A) = 390 n(B) = 560 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 + 560 - 110 = 950 - 110 = 840 ∴ n(A∪B) = 840 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1560 - 840 = 720 n(A‘∩B‘) = 720 |
| 2) If A and B are two sets and U is the universal set such that n(U) = 1600, n(A) = 300, n(B) = 500 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 900 SOLUTION 1 : Given : n(U) = 1600 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) = 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) = 1878, n(A) = 321, n(B) = 531 and n(A∩B) = 115, find n(A‘∩B‘). Answer: 1141 SOLUTION 1 : Given : n(U) = 1878 n(A) = 321 n(B) = 531 n(A∩B) = 115, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 321 + 531 - 115 = 852 - 115 = 737 ∴ n(A∪B) = 737 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1878 - 737 = 1141 n(A‘∩B‘) = 1141 |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1490, n(A) = 370, n(B) = 620 and n(A∩B) = 130, find n(A‘∩B‘). Answer: 630 SOLUTION 1 : Given : n(U) = 1490 n(A) = 370 n(B) = 620 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) = 370 + 620 - 130 = 990 - 130 = 860 ∴ n(A∪B) = 860 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1490 - 860 = 630 n(A‘∩B‘) = 630 |
| 5) 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 |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1312, n(A) = 329, n(B) = 553 and n(A∩B) = 131, find n(A‘∩B‘). Answer: 561 SOLUTION 1 : Given : n(U) = 1312 n(A) = 329 n(B) = 553 n(A∩B) = 131, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 329 + 553 - 131 = 882 - 131 = 751 ∴ n(A∪B) = 751 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1312 - 751 = 561 n(A‘∩B‘) = 561 |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1830, n(A) = 370, n(B) = 660 and n(A∩B) = 140, find n(A‘∩B‘). Answer: 940 SOLUTION 1 : Given : n(U) = 1830 n(A) = 370 n(B) = 660 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) = 370 + 660 - 140 = 1030 - 140 = 890 ∴ n(A∪B) = 890 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1830 - 890 = 940 n(A‘∩B‘) = 940 |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1500, n(A) = 300, n(B) = 550 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 750 SOLUTION 1 : Given : n(U) = 1500 n(A) = 300 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) = 300 + 550 - 100 = 850 - 100 = 750 ∴ n(A∪B) = 750 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1500 - 750 = 750 n(A‘∩B‘) = 750 |
| 9) If A and B are two sets and U is the universal set such that n(U) = 1630, n(A) = 320, n(B) = 586 and n(A∩B) = 112, find n(A‘∩B‘). Answer: 836 SOLUTION 1 : Given : n(U) = 1630 n(A) = 320 n(B) = 586 n(A∩B) = 112, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 320 + 586 - 112 = 906 - 112 = 794 ∴ n(A∪B) = 794 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1630 - 794 = 836 n(A‘∩B‘) = 836 |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1840, n(A) = 360, n(B) = 530 and n(A∩B) = 120, find n(A‘∩B‘). Answer: 1070 SOLUTION 1 : Given : n(U) = 1840 n(A) = 360 n(B) = 530 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) = 360 + 530 - 120 = 890 - 120 = 770 ∴ n(A∪B) = 770 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1840 - 770 = 1070 n(A‘∩B‘) = 1070 |