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) = 1770, n(A) = 320, n(B) = 580 and n(A∩B) = 160, 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) = 500 and n(A∩B) = 150, find n(A‘∩B‘).
Answer:_______________ |
| 3) If A and B are two sets and U is the universal set such that n(U) = 1604, n(A) = 337, n(B) = 500 and n(A∩B) = 159, find n(A‘∩B‘).
Answer:_______________ |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1080, n(A) = 310, n(B) = 630 and n(A∩B) = 190, find n(A‘∩B‘).
Answer:_______________ |
| 5) 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) = 150, find n(A‘∩B‘).
Answer:_______________ |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1492, n(A) = 340, n(B) = 596 and n(A∩B) = 194, 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) = 400, n(B) = 680 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) = 1400, n(A) = 300, n(B) = 650 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) = 1169, n(A) = 376, n(B) = 554 and n(A∩B) = 114, find n(A‘∩B‘).
Answer:_______________ |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1230, n(A) = 390, n(B) = 620 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) = 1770, n(A) = 320, n(B) = 580 and n(A∩B) = 160, find n(A‘∩B‘). Answer: 1030 SOLUTION 1 : Given : n(U) = 1770 n(A) = 320 n(B) = 580 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) = 320 + 580 - 160 = 900 - 160 = 740 ∴ n(A∪B) = 740 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1770 - 740 = 1030 n(A‘∩B‘) = 1030 |
| 2) If A and B are two sets and U is the universal set such that n(U) = 1400, n(A) = 350, n(B) = 500 and n(A∩B) = 150, find n(A‘∩B‘). Answer: 700 SOLUTION 1 : Given : n(U) = 1400 n(A) = 350 n(B) = 500 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 + 500 - 150 = 850 - 150 = 700 ∴ n(A∪B) = 700 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1400 - 700 = 700 n(A‘∩B‘) = 700 |
| 3) If A and B are two sets and U is the universal set such that n(U) = 1604, n(A) = 337, n(B) = 500 and n(A∩B) = 159, find n(A‘∩B‘). Answer: 926 SOLUTION 1 : Given : n(U) = 1604 n(A) = 337 n(B) = 500 n(A∩B) = 159, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 337 + 500 - 159 = 837 - 159 = 678 ∴ n(A∪B) = 678 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1604 - 678 = 926 n(A‘∩B‘) = 926 |
| 4) If A and B are two sets and U is the universal set such that n(U) = 1080, n(A) = 310, n(B) = 630 and n(A∩B) = 190, find n(A‘∩B‘). Answer: 330 SOLUTION 1 : Given : n(U) = 1080 n(A) = 310 n(B) = 630 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) = 310 + 630 - 190 = 940 - 190 = 750 ∴ n(A∪B) = 750 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1080 - 750 = 330 n(A‘∩B‘) = 330 |
| 5) 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) = 150, find n(A‘∩B‘). Answer: 700 SOLUTION 1 : Given : n(U) = 1500 n(A) = 300 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) = 300 + 650 - 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) = 1500 - 800 = 700 n(A‘∩B‘) = 700 |
| 6) If A and B are two sets and U is the universal set such that n(U) = 1492, n(A) = 340, n(B) = 596 and n(A∩B) = 194, find n(A‘∩B‘). Answer: 750 SOLUTION 1 : Given : n(U) = 1492 n(A) = 340 n(B) = 596 n(A∩B) = 194, To find : n(A‘∩B‘). we know that A‘∩B‘ = (A∪B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) = 340 + 596 - 194 = 936 - 194 = 742 ∴ n(A∪B) = 742 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1492 - 742 = 750 n(A‘∩B‘) = 750 |
| 7) If A and B are two sets and U is the universal set such that n(U) = 1210, n(A) = 400, n(B) = 680 and n(A∩B) = 150, find n(A‘∩B‘). Answer: 280 SOLUTION 1 : Given : n(U) = 1210 n(A) = 400 n(B) = 680 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) = 400 + 680 - 150 = 1080 - 150 = 930 ∴ n(A∪B) = 930 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1210 - 930 = 280 n(A‘∩B‘) = 280 |
| 8) If A and B are two sets and U is the universal set such that n(U) = 1400, n(A) = 300, n(B) = 650 and n(A∩B) = 100, find n(A‘∩B‘). Answer: 550 SOLUTION 1 : Given : n(U) = 1400 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) = 1400 - 850 = 550 n(A‘∩B‘) = 550 |
| 9) If A and B are two sets and U is the universal set such that n(U) = 1169, n(A) = 376, n(B) = 554 and n(A∩B) = 114, find n(A‘∩B‘). Answer: 353 SOLUTION 1 : Given : n(U) = 1169 n(A) = 376 n(B) = 554 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) = 376 + 554 - 114 = 930 - 114 = 816 ∴ n(A∪B) = 816 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1169 - 816 = 353 n(A‘∩B‘) = 353 |
| 10) If A and B are two sets and U is the universal set such that n(U) = 1230, n(A) = 390, n(B) = 620 and n(A∩B) = 120, find n(A‘∩B‘). Answer: 340 SOLUTION 1 : Given : n(U) = 1230 n(A) = 390 n(B) = 620 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) = 390 + 620 - 120 = 1010 - 120 = 890 ∴ n(A∪B) = 890 n(A‘∩B‘) = n[(A∪B)‘] n(A‘∩B‘) = n[(A∪B)‘] = n(U) - n(A∪B) = 1230 - 890 = 340 n(A‘∩B‘) = 340 |