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) = 701, n(A) = 381, n(B) = 315 and n(A∪B) = 477, find n(A‘∪B‘).
Answer:_______________ |
| 2) If A and B are two sets and U is the universal set such that n(U) = 950, n(A) = 374, n(B) = 417 and n(A∪B) = 409, find n(A‘∪B‘).
Answer:_______________ |
| 3) If A and B are two sets and U is the universal set such that n(U) = 903, n(A) = 396, n(B) = 309 and n(A∪B) = 427, find n(A‘∪B‘).
Answer:_______________ |
| 4) If A and B are two sets and U is the universal set such that n(U) = 763, n(A) = 356, n(B) = 340 and n(A∪B) = 472, find n(A‘∪B‘).
Answer:_______________ |
| 5) If A and B are two sets and U is the universal set such that n(U) = 972, n(A) = 399, n(B) = 382 and n(A∪B) = 456, find n(A‘∪B‘).
Answer:_______________ |
| 6) If A and B are two sets and U is the universal set such that n(U) = 933, n(A) = 392, n(B) = 416 and n(A∪B) = 402, find n(A‘∪B‘).
Answer:_______________ |
| 7) If A and B are two sets and U is the universal set such that n(U) = 714, n(A) = 309, n(B) = 363 and n(A∪B) = 418, find n(A‘∪B‘).
Answer:_______________ |
| 8) If A and B are two sets and U is the universal set such that n(U) = 850, n(A) = 385, n(B) = 494 and n(A∪B) = 479, find n(A‘∪B‘).
Answer:_______________ |
| 9) If A and B are two sets and U is the universal set such that n(U) = 867, n(A) = 335, n(B) = 448 and n(A∪B) = 408, find n(A‘∪B‘).
Answer:_______________ |
| 10) If A and B are two sets and U is the universal set such that n(U) = 741, n(A) = 329, n(B) = 412 and n(A∪B) = 402, find n(A‘∪B‘).
Answer:_______________ |
| 1) If A and B are two sets and U is the universal set such that n(U) = 701, n(A) = 381, n(B) = 315 and n(A∪B) = 477, find n(A‘∪B‘). Answer: 482 SOLUTION 1 : Given : n(U) = 701 n(A) = 381 n(B) = 315 n(A∪B) = 477, 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) = 381 + 315 - 477 = 696 - 477 = 219 ∴ n(A∩B) = 219 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 701 - 219 = 482 n(A‘∪B‘) = 482 |
| 2) If A and B are two sets and U is the universal set such that n(U) = 950, n(A) = 374, n(B) = 417 and n(A∪B) = 409, find n(A‘∪B‘). Answer: 568 SOLUTION 1 : Given : n(U) = 950 n(A) = 374 n(B) = 417 n(A∪B) = 409, 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) = 374 + 417 - 409 = 791 - 409 = 382 ∴ n(A∩B) = 382 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 950 - 382 = 568 n(A‘∪B‘) = 568 |
| 3) If A and B are two sets and U is the universal set such that n(U) = 903, n(A) = 396, n(B) = 309 and n(A∪B) = 427, find n(A‘∪B‘). Answer: 625 SOLUTION 1 : Given : n(U) = 903 n(A) = 396 n(B) = 309 n(A∪B) = 427, 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) = 396 + 309 - 427 = 705 - 427 = 278 ∴ n(A∩B) = 278 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 903 - 278 = 625 n(A‘∪B‘) = 625 |
| 4) If A and B are two sets and U is the universal set such that n(U) = 763, n(A) = 356, n(B) = 340 and n(A∪B) = 472, find n(A‘∪B‘). Answer: 539 SOLUTION 1 : Given : n(U) = 763 n(A) = 356 n(B) = 340 n(A∪B) = 472, 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) = 356 + 340 - 472 = 696 - 472 = 224 ∴ n(A∩B) = 224 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 763 - 224 = 539 n(A‘∪B‘) = 539 |
| 5) If A and B are two sets and U is the universal set such that n(U) = 972, n(A) = 399, n(B) = 382 and n(A∪B) = 456, find n(A‘∪B‘). Answer: 647 SOLUTION 1 : Given : n(U) = 972 n(A) = 399 n(B) = 382 n(A∪B) = 456, 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 + 382 - 456 = 781 - 456 = 325 ∴ n(A∩B) = 325 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 972 - 325 = 647 n(A‘∪B‘) = 647 |
| 6) If A and B are two sets and U is the universal set such that n(U) = 933, n(A) = 392, n(B) = 416 and n(A∪B) = 402, find n(A‘∪B‘). Answer: 527 SOLUTION 1 : Given : n(U) = 933 n(A) = 392 n(B) = 416 n(A∪B) = 402, 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) = 392 + 416 - 402 = 808 - 402 = 406 ∴ n(A∩B) = 406 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 933 - 406 = 527 n(A‘∪B‘) = 527 |
| 7) If A and B are two sets and U is the universal set such that n(U) = 714, n(A) = 309, n(B) = 363 and n(A∪B) = 418, find n(A‘∪B‘). Answer: 460 SOLUTION 1 : Given : n(U) = 714 n(A) = 309 n(B) = 363 n(A∪B) = 418, 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) = 309 + 363 - 418 = 672 - 418 = 254 ∴ n(A∩B) = 254 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 714 - 254 = 460 n(A‘∪B‘) = 460 |
| 8) If A and B are two sets and U is the universal set such that n(U) = 850, n(A) = 385, n(B) = 494 and n(A∪B) = 479, find n(A‘∪B‘). Answer: 450 SOLUTION 1 : Given : n(U) = 850 n(A) = 385 n(B) = 494 n(A∪B) = 479, 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) = 385 + 494 - 479 = 879 - 479 = 400 ∴ n(A∩B) = 400 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 850 - 400 = 450 n(A‘∪B‘) = 450 |
| 9) If A and B are two sets and U is the universal set such that n(U) = 867, n(A) = 335, n(B) = 448 and n(A∪B) = 408, find n(A‘∪B‘). Answer: 492 SOLUTION 1 : Given : n(U) = 867 n(A) = 335 n(B) = 448 n(A∪B) = 408, 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) = 335 + 448 - 408 = 783 - 408 = 375 ∴ n(A∩B) = 375 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 867 - 375 = 492 n(A‘∪B‘) = 492 |
| 10) If A and B are two sets and U is the universal set such that n(U) = 741, n(A) = 329, n(B) = 412 and n(A∪B) = 402, find n(A‘∪B‘). Answer: 402 SOLUTION 1 : Given : n(U) = 741 n(A) = 329 n(B) = 412 n(A∪B) = 402, 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) = 329 + 412 - 402 = 741 - 402 = 339 ∴ n(A∩B) = 339 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 741 - 339 = 402 n(A‘∪B‘) = 402 |