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) = 839, n(A) = 364, n(B) = 369 and n(A∪B) = 421, find n(A‘∪B‘).
Answer:_______________ |
| 2) If A and B are two sets and U is the universal set such that n(U) = 901, n(A) = 391, n(B) = 491 and n(A∪B) = 439, find n(A‘∪B‘).
Answer:_______________ |
| 3) If A and B are two sets and U is the universal set such that n(U) = 942, n(A) = 316, n(B) = 337 and n(A∪B) = 484, find n(A‘∪B‘).
Answer:_______________ |
| 4) If A and B are two sets and U is the universal set such that n(U) = 955, n(A) = 316, n(B) = 368 and n(A∪B) = 498, 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) = 303, n(B) = 375 and n(A∪B) = 476, find n(A‘∪B‘).
Answer:_______________ |
| 6) If A and B are two sets and U is the universal set such that n(U) = 850, n(A) = 369, n(B) = 434 and n(A∪B) = 409, find n(A‘∪B‘).
Answer:_______________ |
| 7) If A and B are two sets and U is the universal set such that n(U) = 861, n(A) = 332, n(B) = 444 and n(A∪B) = 404, find n(A‘∪B‘).
Answer:_______________ |
| 8) If A and B are two sets and U is the universal set such that n(U) = 974, n(A) = 318, n(B) = 331 and n(A∪B) = 410, find n(A‘∪B‘).
Answer:_______________ |
| 9) If A and B are two sets and U is the universal set such that n(U) = 971, n(A) = 381, n(B) = 323 and n(A∪B) = 449, find n(A‘∪B‘).
Answer:_______________ |
| 10) If A and B are two sets and U is the universal set such that n(U) = 852, n(A) = 349, n(B) = 332 and n(A∪B) = 443, find n(A‘∪B‘).
Answer:_______________ |
| 1) If A and B are two sets and U is the universal set such that n(U) = 839, n(A) = 364, n(B) = 369 and n(A∪B) = 421, find n(A‘∪B‘). Answer: 527 SOLUTION 1 : Given : n(U) = 839 n(A) = 364 n(B) = 369 n(A∪B) = 421, 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) = 364 + 369 - 421 = 733 - 421 = 312 ∴ n(A∩B) = 312 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 839 - 312 = 527 n(A‘∪B‘) = 527 |
| 2) If A and B are two sets and U is the universal set such that n(U) = 901, n(A) = 391, n(B) = 491 and n(A∪B) = 439, find n(A‘∪B‘). Answer: 458 SOLUTION 1 : Given : n(U) = 901 n(A) = 391 n(B) = 491 n(A∪B) = 439, 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) = 391 + 491 - 439 = 882 - 439 = 443 ∴ n(A∩B) = 443 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 901 - 443 = 458 n(A‘∪B‘) = 458 |
| 3) If A and B are two sets and U is the universal set such that n(U) = 942, n(A) = 316, n(B) = 337 and n(A∪B) = 484, find n(A‘∪B‘). Answer: 773 SOLUTION 1 : Given : n(U) = 942 n(A) = 316 n(B) = 337 n(A∪B) = 484, 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) = 316 + 337 - 484 = 653 - 484 = 169 ∴ n(A∩B) = 169 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 942 - 169 = 773 n(A‘∪B‘) = 773 |
| 4) If A and B are two sets and U is the universal set such that n(U) = 955, n(A) = 316, n(B) = 368 and n(A∪B) = 498, find n(A‘∪B‘). Answer: 769 SOLUTION 1 : Given : n(U) = 955 n(A) = 316 n(B) = 368 n(A∪B) = 498, 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) = 316 + 368 - 498 = 684 - 498 = 186 ∴ n(A∩B) = 186 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 955 - 186 = 769 n(A‘∪B‘) = 769 |
| 5) If A and B are two sets and U is the universal set such that n(U) = 972, n(A) = 303, n(B) = 375 and n(A∪B) = 476, find n(A‘∪B‘). Answer: 770 SOLUTION 1 : Given : n(U) = 972 n(A) = 303 n(B) = 375 n(A∪B) = 476, 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) = 303 + 375 - 476 = 678 - 476 = 202 ∴ n(A∩B) = 202 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 972 - 202 = 770 n(A‘∪B‘) = 770 |
| 6) If A and B are two sets and U is the universal set such that n(U) = 850, n(A) = 369, n(B) = 434 and n(A∪B) = 409, find n(A‘∪B‘). Answer: 456 SOLUTION 1 : Given : n(U) = 850 n(A) = 369 n(B) = 434 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) = 369 + 434 - 409 = 803 - 409 = 394 ∴ n(A∩B) = 394 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 850 - 394 = 456 n(A‘∪B‘) = 456 |
| 7) If A and B are two sets and U is the universal set such that n(U) = 861, n(A) = 332, n(B) = 444 and n(A∪B) = 404, find n(A‘∪B‘). Answer: 489 SOLUTION 1 : Given : n(U) = 861 n(A) = 332 n(B) = 444 n(A∪B) = 404, 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) = 332 + 444 - 404 = 776 - 404 = 372 ∴ n(A∩B) = 372 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 861 - 372 = 489 n(A‘∪B‘) = 489 |
| 8) If A and B are two sets and U is the universal set such that n(U) = 974, n(A) = 318, n(B) = 331 and n(A∪B) = 410, find n(A‘∪B‘). Answer: 735 SOLUTION 1 : Given : n(U) = 974 n(A) = 318 n(B) = 331 n(A∪B) = 410, 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) = 318 + 331 - 410 = 649 - 410 = 239 ∴ n(A∩B) = 239 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 974 - 239 = 735 n(A‘∪B‘) = 735 |
| 9) If A and B are two sets and U is the universal set such that n(U) = 971, n(A) = 381, n(B) = 323 and n(A∪B) = 449, find n(A‘∪B‘). Answer: 716 SOLUTION 1 : Given : n(U) = 971 n(A) = 381 n(B) = 323 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) = 381 + 323 - 449 = 704 - 449 = 255 ∴ n(A∩B) = 255 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 971 - 255 = 716 n(A‘∪B‘) = 716 |
| 10) If A and B are two sets and U is the universal set such that n(U) = 852, n(A) = 349, n(B) = 332 and n(A∪B) = 443, find n(A‘∪B‘). Answer: 614 SOLUTION 1 : Given : n(U) = 852 n(A) = 349 n(B) = 332 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) = 349 + 332 - 443 = 681 - 443 = 238 ∴ n(A∩B) = 238 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 852 - 238 = 614 n(A‘∪B‘) = 614 |