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) = 988, n(A) = 309, n(B) = 366 and n(A∪B) = 449, find n(A‘∪B‘).
Answer:_______________ |
| 2) If A and B are two sets and U is the universal set such that n(U) = 781, n(A) = 337, n(B) = 333 and n(A∪B) = 495, find n(A‘∪B‘).
Answer:_______________ |
| 3) If A and B are two sets and U is the universal set such that n(U) = 851, n(A) = 304, n(B) = 442 and n(A∪B) = 481, find n(A‘∪B‘).
Answer:_______________ |
| 4) If A and B are two sets and U is the universal set such that n(U) = 871, n(A) = 340, n(B) = 445 and n(A∪B) = 459, find n(A‘∪B‘).
Answer:_______________ |
| 5) If A and B are two sets and U is the universal set such that n(U) = 920, n(A) = 385, n(B) = 425 and n(A∪B) = 473, find n(A‘∪B‘).
Answer:_______________ |
| 6) If A and B are two sets and U is the universal set such that n(U) = 922, n(A) = 331, n(B) = 315 and n(A∪B) = 405, find n(A‘∪B‘).
Answer:_______________ |
| 7) If A and B are two sets and U is the universal set such that n(U) = 854, n(A) = 389, n(B) = 379 and n(A∪B) = 428, find n(A‘∪B‘).
Answer:_______________ |
| 8) If A and B are two sets and U is the universal set such that n(U) = 806, n(A) = 310, n(B) = 498 and n(A∪B) = 469, find n(A‘∪B‘).
Answer:_______________ |
| 9) If A and B are two sets and U is the universal set such that n(U) = 881, n(A) = 367, n(B) = 463 and n(A∪B) = 458, find n(A‘∪B‘).
Answer:_______________ |
| 10) If A and B are two sets and U is the universal set such that n(U) = 724, n(A) = 362, n(B) = 478 and n(A∪B) = 450, find n(A‘∪B‘).
Answer:_______________ |
| 1) If A and B are two sets and U is the universal set such that n(U) = 988, n(A) = 309, n(B) = 366 and n(A∪B) = 449, find n(A‘∪B‘). Answer: 762 SOLUTION 1 : Given : n(U) = 988 n(A) = 309 n(B) = 366 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) = 309 + 366 - 449 = 675 - 449 = 226 ∴ n(A∩B) = 226 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 988 - 226 = 762 n(A‘∪B‘) = 762 |
| 2) If A and B are two sets and U is the universal set such that n(U) = 781, n(A) = 337, n(B) = 333 and n(A∪B) = 495, find n(A‘∪B‘). Answer: 606 SOLUTION 1 : Given : n(U) = 781 n(A) = 337 n(B) = 333 n(A∪B) = 495, 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) = 337 + 333 - 495 = 670 - 495 = 175 ∴ n(A∩B) = 175 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 781 - 175 = 606 n(A‘∪B‘) = 606 |
| 3) If A and B are two sets and U is the universal set such that n(U) = 851, n(A) = 304, n(B) = 442 and n(A∪B) = 481, find n(A‘∪B‘). Answer: 586 SOLUTION 1 : Given : n(U) = 851 n(A) = 304 n(B) = 442 n(A∪B) = 481, 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) = 304 + 442 - 481 = 746 - 481 = 265 ∴ n(A∩B) = 265 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 851 - 265 = 586 n(A‘∪B‘) = 586 |
| 4) If A and B are two sets and U is the universal set such that n(U) = 871, n(A) = 340, n(B) = 445 and n(A∪B) = 459, find n(A‘∪B‘). Answer: 545 SOLUTION 1 : Given : n(U) = 871 n(A) = 340 n(B) = 445 n(A∪B) = 459, 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) = 340 + 445 - 459 = 785 - 459 = 326 ∴ n(A∩B) = 326 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 871 - 326 = 545 n(A‘∪B‘) = 545 |
| 5) If A and B are two sets and U is the universal set such that n(U) = 920, n(A) = 385, n(B) = 425 and n(A∪B) = 473, find n(A‘∪B‘). Answer: 583 SOLUTION 1 : Given : n(U) = 920 n(A) = 385 n(B) = 425 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) = 385 + 425 - 473 = 810 - 473 = 337 ∴ n(A∩B) = 337 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 920 - 337 = 583 n(A‘∪B‘) = 583 |
| 6) If A and B are two sets and U is the universal set such that n(U) = 922, n(A) = 331, n(B) = 315 and n(A∪B) = 405, find n(A‘∪B‘). Answer: 681 SOLUTION 1 : Given : n(U) = 922 n(A) = 331 n(B) = 315 n(A∪B) = 405, 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) = 331 + 315 - 405 = 646 - 405 = 241 ∴ n(A∩B) = 241 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 922 - 241 = 681 n(A‘∪B‘) = 681 |
| 7) If A and B are two sets and U is the universal set such that n(U) = 854, n(A) = 389, n(B) = 379 and n(A∪B) = 428, find n(A‘∪B‘). Answer: 514 SOLUTION 1 : Given : n(U) = 854 n(A) = 389 n(B) = 379 n(A∪B) = 428, 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) = 389 + 379 - 428 = 768 - 428 = 340 ∴ n(A∩B) = 340 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 854 - 340 = 514 n(A‘∪B‘) = 514 |
| 8) If A and B are two sets and U is the universal set such that n(U) = 806, n(A) = 310, n(B) = 498 and n(A∪B) = 469, find n(A‘∪B‘). Answer: 467 SOLUTION 1 : Given : n(U) = 806 n(A) = 310 n(B) = 498 n(A∪B) = 469, 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) = 310 + 498 - 469 = 808 - 469 = 339 ∴ n(A∩B) = 339 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 806 - 339 = 467 n(A‘∪B‘) = 467 |
| 9) If A and B are two sets and U is the universal set such that n(U) = 881, n(A) = 367, n(B) = 463 and n(A∪B) = 458, find n(A‘∪B‘). Answer: 509 SOLUTION 1 : Given : n(U) = 881 n(A) = 367 n(B) = 463 n(A∪B) = 458, 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) = 367 + 463 - 458 = 830 - 458 = 372 ∴ n(A∩B) = 372 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 881 - 372 = 509 n(A‘∪B‘) = 509 |
| 10) If A and B are two sets and U is the universal set such that n(U) = 724, n(A) = 362, n(B) = 478 and n(A∪B) = 450, find n(A‘∪B‘). Answer: 334 SOLUTION 1 : Given : n(U) = 724 n(A) = 362 n(B) = 478 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) = 362 + 478 - 450 = 840 - 450 = 390 ∴ n(A∩B) = 390 n(A‘∪B‘) = n[(A∩B)‘] = n(U) - n(A∩B) = 724 - 390 = 334 n(A‘∪B‘) = 334 |