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) = 883, n(A) = 313, n(B) = 447 and n(A∪B) = 414, find n(A‘∪B‘).
Answer:_______________ |
| 2) If A and B are two sets and U is the universal set such that n(U) = 728, n(A) = 306, n(B) = 447 and n(A∪B) = 466, find n(A‘∪B‘).
Answer:_______________ |
| 3) If A and B are two sets and U is the universal set such that n(U) = 843, n(A) = 371, n(B) = 316 and n(A∪B) = 401, find n(A‘∪B‘).
Answer:_______________ |
| 4) If A and B are two sets and U is the universal set such that n(U) = 736, n(A) = 372, n(B) = 313 and n(A∪B) = 464, find n(A‘∪B‘).
Answer:_______________ |
| 5) If A and B are two sets and U is the universal set such that n(U) = 910, n(A) = 399, n(B) = 408 and n(A∪B) = 489, find n(A‘∪B‘).
Answer:_______________ |
| 6) If A and B are two sets and U is the universal set such that n(U) = 965, n(A) = 327, n(B) = 390 and n(A∪B) = 446, find n(A‘∪B‘).
Answer:_______________ |
| 7) If A and B are two sets and U is the universal set such that n(U) = 995, n(A) = 365, n(B) = 416 and n(A∪B) = 450, find n(A‘∪B‘).
Answer:_______________ |
| 8) If A and B are two sets and U is the universal set such that n(U) = 918, n(A) = 390, n(B) = 474 and n(A∪B) = 443, find n(A‘∪B‘).
Answer:_______________ |
| 9) If A and B are two sets and U is the universal set such that n(U) = 799, n(A) = 327, n(B) = 478 and n(A∪B) = 445, find n(A‘∪B‘).
Answer:_______________ |
| 10) If A and B are two sets and U is the universal set such that n(U) = 953, n(A) = 362, n(B) = 495 and n(A∪B) = 414, find n(A‘∪B‘).
Answer:_______________ |
| 1) If A and B are two sets and U is the universal set such that n(U) = 883, n(A) = 313, n(B) = 447 and n(A∪B) = 414, find n(A‘∪B‘). Answer: 537 SOLUTION 1 : Given : n(U) = 883 n(A) = 313 n(B) = 447 n(A∪B) = 414, To find : n(A‘∪B‘). we know that A‘∪B‘ = (A∩B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) ∴ n(A∩B) = n(A) + n(B) - n(A∪B) = 313 + 447 - 414 = 760 - 414 = 346 ∴ n(A∩B) = 346 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 883 - 346 = 537 n(A‘∪B‘) = 537 |
| 2) If A and B are two sets and U is the universal set such that n(U) = 728, n(A) = 306, n(B) = 447 and n(A∪B) = 466, find n(A‘∪B‘). Answer: 441 SOLUTION 1 : Given : n(U) = 728 n(A) = 306 n(B) = 447 n(A∪B) = 466, To find : n(A‘∪B‘). we know that A‘∪B‘ = (A∩B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) ∴ n(A∩B) = n(A) + n(B) - n(A∪B) = 306 + 447 - 466 = 753 - 466 = 287 ∴ n(A∩B) = 287 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 728 - 287 = 441 n(A‘∪B‘) = 441 |
| 3) If A and B are two sets and U is the universal set such that n(U) = 843, n(A) = 371, n(B) = 316 and n(A∪B) = 401, find n(A‘∪B‘). Answer: 557 SOLUTION 1 : Given : n(U) = 843 n(A) = 371 n(B) = 316 n(A∪B) = 401, To find : n(A‘∪B‘). we know that A‘∪B‘ = (A∩B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) ∴ n(A∩B) = n(A) + n(B) - n(A∪B) = 371 + 316 - 401 = 687 - 401 = 286 ∴ n(A∩B) = 286 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 843 - 286 = 557 n(A‘∪B‘) = 557 |
| 4) If A and B are two sets and U is the universal set such that n(U) = 736, n(A) = 372, n(B) = 313 and n(A∪B) = 464, find n(A‘∪B‘). Answer: 515 SOLUTION 1 : Given : n(U) = 736 n(A) = 372 n(B) = 313 n(A∪B) = 464, To find : n(A‘∪B‘). we know that A‘∪B‘ = (A∩B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) ∴ n(A∩B) = n(A) + n(B) - n(A∪B) = 372 + 313 - 464 = 685 - 464 = 221 ∴ n(A∩B) = 221 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 736 - 221 = 515 n(A‘∪B‘) = 515 |
| 5) If A and B are two sets and U is the universal set such that n(U) = 910, n(A) = 399, n(B) = 408 and n(A∪B) = 489, find n(A‘∪B‘). Answer: 592 SOLUTION 1 : Given : n(U) = 910 n(A) = 399 n(B) = 408 n(A∪B) = 489, To find : n(A‘∪B‘). we know that A‘∪B‘ = (A∩B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) ∴ n(A∩B) = n(A) + n(B) - n(A∪B) = 399 + 408 - 489 = 807 - 489 = 318 ∴ n(A∩B) = 318 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 910 - 318 = 592 n(A‘∪B‘) = 592 |
| 6) If A and B are two sets and U is the universal set such that n(U) = 965, n(A) = 327, n(B) = 390 and n(A∪B) = 446, find n(A‘∪B‘). Answer: 694 SOLUTION 1 : Given : n(U) = 965 n(A) = 327 n(B) = 390 n(A∪B) = 446, To find : n(A‘∪B‘). we know that A‘∪B‘ = (A∩B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) ∴ n(A∩B) = n(A) + n(B) - n(A∪B) = 327 + 390 - 446 = 717 - 446 = 271 ∴ n(A∩B) = 271 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 965 - 271 = 694 n(A‘∪B‘) = 694 |
| 7) If A and B are two sets and U is the universal set such that n(U) = 995, n(A) = 365, n(B) = 416 and n(A∪B) = 450, find n(A‘∪B‘). Answer: 664 SOLUTION 1 : Given : n(U) = 995 n(A) = 365 n(B) = 416 n(A∪B) = 450, To find : n(A‘∪B‘). we know that A‘∪B‘ = (A∩B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) ∴ n(A∩B) = n(A) + n(B) - n(A∪B) = 365 + 416 - 450 = 781 - 450 = 331 ∴ n(A∩B) = 331 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 995 - 331 = 664 n(A‘∪B‘) = 664 |
| 8) If A and B are two sets and U is the universal set such that n(U) = 918, n(A) = 390, n(B) = 474 and n(A∪B) = 443, find n(A‘∪B‘). Answer: 497 SOLUTION 1 : Given : n(U) = 918 n(A) = 390 n(B) = 474 n(A∪B) = 443, To find : n(A‘∪B‘). we know that A‘∪B‘ = (A∩B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) ∴ n(A∩B) = n(A) + n(B) - n(A∪B) = 390 + 474 - 443 = 864 - 443 = 421 ∴ n(A∩B) = 421 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 918 - 421 = 497 n(A‘∪B‘) = 497 |
| 9) If A and B are two sets and U is the universal set such that n(U) = 799, n(A) = 327, n(B) = 478 and n(A∪B) = 445, find n(A‘∪B‘). Answer: 439 SOLUTION 1 : Given : n(U) = 799 n(A) = 327 n(B) = 478 n(A∪B) = 445, To find : n(A‘∪B‘). we know that A‘∪B‘ = (A∩B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) ∴ n(A∩B) = n(A) + n(B) - n(A∪B) = 327 + 478 - 445 = 805 - 445 = 360 ∴ n(A∩B) = 360 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 799 - 360 = 439 n(A‘∪B‘) = 439 |
| 10) If A and B are two sets and U is the universal set such that n(U) = 953, n(A) = 362, n(B) = 495 and n(A∪B) = 414, find n(A‘∪B‘). Answer: 510 SOLUTION 1 : Given : n(U) = 953 n(A) = 362 n(B) = 495 n(A∪B) = 414, To find : n(A‘∪B‘). we know that A‘∪B‘ = (A∩B)‘ Now, n(A∪B) = n(A) + n(B) - n(A∩B) ∴ n(A∩B) = n(A) + n(B) - n(A∪B) = 362 + 495 - 414 = 857 - 414 = 443 ∴ n(A∩B) = 443 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 953 - 443 = 510 n(A‘∪B‘) = 510 |