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) = 723, n(A) = 344, n(B) = 413 and n(A∪B) = 403, find n(A‘∪B‘).
Answer:_______________ |
| 2) If A and B are two sets and U is the universal set such that n(U) = 932, n(A) = 353, n(B) = 347 and n(A∪B) = 483, find n(A‘∪B‘).
Answer:_______________ |
| 3) If A and B are two sets and U is the universal set such that n(U) = 778, n(A) = 338, n(B) = 462 and n(A∪B) = 466, find n(A‘∪B‘).
Answer:_______________ |
| 4) If A and B are two sets and U is the universal set such that n(U) = 854, n(A) = 322, n(B) = 459 and n(A∪B) = 436, find n(A‘∪B‘).
Answer:_______________ |
| 5) If A and B are two sets and U is the universal set such that n(U) = 746, n(A) = 350, n(B) = 462 and n(A∪B) = 480, find n(A‘∪B‘).
Answer:_______________ |
| 6) If A and B are two sets and U is the universal set such that n(U) = 719, n(A) = 306, n(B) = 455 and n(A∪B) = 406, find n(A‘∪B‘).
Answer:_______________ |
| 7) If A and B are two sets and U is the universal set such that n(U) = 996, n(A) = 335, n(B) = 493 and n(A∪B) = 491, find n(A‘∪B‘).
Answer:_______________ |
| 8) If A and B are two sets and U is the universal set such that n(U) = 938, n(A) = 356, n(B) = 438 and n(A∪B) = 449, find n(A‘∪B‘).
Answer:_______________ |
| 9) If A and B are two sets and U is the universal set such that n(U) = 715, n(A) = 313, n(B) = 397 and n(A∪B) = 418, find n(A‘∪B‘).
Answer:_______________ |
| 10) If A and B are two sets and U is the universal set such that n(U) = 811, n(A) = 362, n(B) = 439 and n(A∪B) = 473, find n(A‘∪B‘).
Answer:_______________ |
| 1) If A and B are two sets and U is the universal set such that n(U) = 723, n(A) = 344, n(B) = 413 and n(A∪B) = 403, find n(A‘∪B‘). Answer: 369 SOLUTION 1 : Given : n(U) = 723 n(A) = 344 n(B) = 413 n(A∪B) = 403, 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) = 344 + 413 - 403 = 757 - 403 = 354 ∴ n(A∩B) = 354 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 723 - 354 = 369 n(A‘∪B‘) = 369 |
| 2) If A and B are two sets and U is the universal set such that n(U) = 932, n(A) = 353, n(B) = 347 and n(A∪B) = 483, find n(A‘∪B‘). Answer: 715 SOLUTION 1 : Given : n(U) = 932 n(A) = 353 n(B) = 347 n(A∪B) = 483, 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) = 353 + 347 - 483 = 700 - 483 = 217 ∴ n(A∩B) = 217 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 932 - 217 = 715 n(A‘∪B‘) = 715 |
| 3) If A and B are two sets and U is the universal set such that n(U) = 778, n(A) = 338, n(B) = 462 and n(A∪B) = 466, find n(A‘∪B‘). Answer: 444 SOLUTION 1 : Given : n(U) = 778 n(A) = 338 n(B) = 462 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) = 338 + 462 - 466 = 800 - 466 = 334 ∴ n(A∩B) = 334 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 778 - 334 = 444 n(A‘∪B‘) = 444 |
| 4) If A and B are two sets and U is the universal set such that n(U) = 854, n(A) = 322, n(B) = 459 and n(A∪B) = 436, find n(A‘∪B‘). Answer: 509 SOLUTION 1 : Given : n(U) = 854 n(A) = 322 n(B) = 459 n(A∪B) = 436, 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) = 322 + 459 - 436 = 781 - 436 = 345 ∴ n(A∩B) = 345 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 854 - 345 = 509 n(A‘∪B‘) = 509 |
| 5) If A and B are two sets and U is the universal set such that n(U) = 746, n(A) = 350, n(B) = 462 and n(A∪B) = 480, find n(A‘∪B‘). Answer: 414 SOLUTION 1 : Given : n(U) = 746 n(A) = 350 n(B) = 462 n(A∪B) = 480, 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) = 350 + 462 - 480 = 812 - 480 = 332 ∴ n(A∩B) = 332 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 746 - 332 = 414 n(A‘∪B‘) = 414 |
| 6) If A and B are two sets and U is the universal set such that n(U) = 719, n(A) = 306, n(B) = 455 and n(A∪B) = 406, find n(A‘∪B‘). Answer: 364 SOLUTION 1 : Given : n(U) = 719 n(A) = 306 n(B) = 455 n(A∪B) = 406, 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 + 455 - 406 = 761 - 406 = 355 ∴ n(A∩B) = 355 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 719 - 355 = 364 n(A‘∪B‘) = 364 |
| 7) If A and B are two sets and U is the universal set such that n(U) = 996, n(A) = 335, n(B) = 493 and n(A∪B) = 491, find n(A‘∪B‘). Answer: 659 SOLUTION 1 : Given : n(U) = 996 n(A) = 335 n(B) = 493 n(A∪B) = 491, 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 + 493 - 491 = 828 - 491 = 337 ∴ n(A∩B) = 337 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 996 - 337 = 659 n(A‘∪B‘) = 659 |
| 8) If A and B are two sets and U is the universal set such that n(U) = 938, n(A) = 356, n(B) = 438 and n(A∪B) = 449, find n(A‘∪B‘). Answer: 593 SOLUTION 1 : Given : n(U) = 938 n(A) = 356 n(B) = 438 n(A∪B) = 449, 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 + 438 - 449 = 794 - 449 = 345 ∴ n(A∩B) = 345 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 938 - 345 = 593 n(A‘∪B‘) = 593 |
| 9) If A and B are two sets and U is the universal set such that n(U) = 715, n(A) = 313, n(B) = 397 and n(A∪B) = 418, find n(A‘∪B‘). Answer: 423 SOLUTION 1 : Given : n(U) = 715 n(A) = 313 n(B) = 397 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) = 313 + 397 - 418 = 710 - 418 = 292 ∴ n(A∩B) = 292 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 715 - 292 = 423 n(A‘∪B‘) = 423 |
| 10) If A and B are two sets and U is the universal set such that n(U) = 811, n(A) = 362, n(B) = 439 and n(A∪B) = 473, find n(A‘∪B‘). Answer: 483 SOLUTION 1 : Given : n(U) = 811 n(A) = 362 n(B) = 439 n(A∪B) = 473, 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 + 439 - 473 = 801 - 473 = 328 ∴ n(A∩B) = 328 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 811 - 328 = 483 n(A‘∪B‘) = 483 |