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) Let A and B be two finite sets such that n(A-B) = 10, n(AUB) = 170, Find n(B). n(B) = Answer:_______________ |
| 2) Let A and B be two finite sets such that n(A-B) = 10, n(AUB) = 120, Find n(B). n(B) = Answer:_______________ |
| 3) Let A and B be two finite sets such that n(A-B) = 40, n(AUB) = 140, Find n(B). n(B) = Answer:_______________ |
| 4) Let A and B be two finite sets such that n(A-B) = 30, n(AUB) = 150, Find n(B). n(B) = Answer:_______________ |
| 5) Let A and B be two finite sets such that n(A-B) = 30, n(AUB) = 110, Find n(B). n(B) = Answer:_______________ |
| 6) Let A and B be two finite sets such that n(A-B) = 40, n(AUB) = 100, Find n(B). n(B) = Answer:_______________ |
| 7) Let A and B be two finite sets such that n(A-B) = 40, n(AUB) = 170, Find n(B). n(B) = Answer:_______________ |
| 8) Let A and B be two finite sets such that n(A-B) = 30, n(AUB) = 130, Find n(B). n(B) = Answer:_______________ |
| 9) Let A and B be two finite sets such that n(A-B) = 50, n(AUB) = 100, Find n(B). n(B) = Answer:_______________ |
| 10) Let A and B be two finite sets such that n(A-B) = 20, n(AUB) = 170, Find n(B). n(B) = Answer:_______________ |
| 1) Let A and B be two finite sets such that n(A-B) = 10, n(AUB) = 170, Find n(B). n(B) = Answer: 160 SOLUTION 1 : n(AUB) = n(A - B) + n(A∩B) + n(B - A) n(aUB) = n(A - B) + n(B) ⇒ [ n(A∩B) + n(B - A) = n(B) ] 170 = 10 + n(B) n(B) = 170 - 10 n(B) = 160 |
| 2) Let A and B be two finite sets such that n(A-B) = 10, n(AUB) = 120, Find n(B). n(B) = Answer: 110 SOLUTION 1 : n(AUB) = n(A - B) + n(A∩B) + n(B - A) n(aUB) = n(A - B) + n(B) ⇒ [ n(A∩B) + n(B - A) = n(B) ] 120 = 10 + n(B) n(B) = 120 - 10 n(B) = 110 |
| 3) Let A and B be two finite sets such that n(A-B) = 40, n(AUB) = 140, Find n(B). n(B) = Answer: 100 SOLUTION 1 : n(AUB) = n(A - B) + n(A∩B) + n(B - A) n(aUB) = n(A - B) + n(B) ⇒ [ n(A∩B) + n(B - A) = n(B) ] 140 = 40 + n(B) n(B) = 140 - 40 n(B) = 100 |
| 4) Let A and B be two finite sets such that n(A-B) = 30, n(AUB) = 150, Find n(B). n(B) = Answer: 120 SOLUTION 1 : n(AUB) = n(A - B) + n(A∩B) + n(B - A) n(aUB) = n(A - B) + n(B) ⇒ [ n(A∩B) + n(B - A) = n(B) ] 150 = 30 + n(B) n(B) = 150 - 30 n(B) = 120 |
| 5) Let A and B be two finite sets such that n(A-B) = 30, n(AUB) = 110, Find n(B). n(B) = Answer: 80 SOLUTION 1 : n(AUB) = n(A - B) + n(A∩B) + n(B - A) n(aUB) = n(A - B) + n(B) ⇒ [ n(A∩B) + n(B - A) = n(B) ] 110 = 30 + n(B) n(B) = 110 - 30 n(B) = 80 |
| 6) Let A and B be two finite sets such that n(A-B) = 40, n(AUB) = 100, Find n(B). n(B) = Answer: 60 SOLUTION 1 : n(AUB) = n(A - B) + n(A∩B) + n(B - A) n(aUB) = n(A - B) + n(B) ⇒ [ n(A∩B) + n(B - A) = n(B) ] 100 = 40 + n(B) n(B) = 100 - 40 n(B) = 60 |
| 7) Let A and B be two finite sets such that n(A-B) = 40, n(AUB) = 170, Find n(B). n(B) = Answer: 130 SOLUTION 1 : n(AUB) = n(A - B) + n(A∩B) + n(B - A) n(aUB) = n(A - B) + n(B) ⇒ [ n(A∩B) + n(B - A) = n(B) ] 170 = 40 + n(B) n(B) = 170 - 40 n(B) = 130 |
| 8) Let A and B be two finite sets such that n(A-B) = 30, n(AUB) = 130, Find n(B). n(B) = Answer: 100 SOLUTION 1 : n(AUB) = n(A - B) + n(A∩B) + n(B - A) n(aUB) = n(A - B) + n(B) ⇒ [ n(A∩B) + n(B - A) = n(B) ] 130 = 30 + n(B) n(B) = 130 - 30 n(B) = 100 |
| 9) Let A and B be two finite sets such that n(A-B) = 50, n(AUB) = 100, Find n(B). n(B) = Answer: 50 SOLUTION 1 : n(AUB) = n(A - B) + n(A∩B) + n(B - A) n(aUB) = n(A - B) + n(B) ⇒ [ n(A∩B) + n(B - A) = n(B) ] 100 = 50 + n(B) n(B) = 100 - 50 n(B) = 50 |
| 10) Let A and B be two finite sets such that n(A-B) = 20, n(AUB) = 170, Find n(B). n(B) = Answer: 150 SOLUTION 1 : n(AUB) = n(A - B) + n(A∩B) + n(B - A) n(aUB) = n(A - B) + n(B) ⇒ [ n(A∩B) + n(B - A) = n(B) ] 170 = 20 + n(B) n(B) = 170 - 20 n(B) = 150 |