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 n(A) = 17,n(B) = 21,n(AUB) = 22, n(A') = 17, Find n(A∩B) and n(U). A B 17 21 22 n(A∩B) = n(U) = Answer:_______________ |
| 2) If n(A) = 15,n(B) = 20,n(AUB) = 28, n(A') = 20, Find n(A∩B) and n(U). A B 15 20 28 n(A∩B) = n(U) = Answer:_______________ |
| 3) If n(A) = 20,n(B) = 20,n(AUB) = 30, n(A') = 16, Find n(A∩B) and n(U). A B 20 20 30 n(A∩B) = n(U) = Answer:_______________ |
| 4) If n(A) = 26,n(B) = 18,n(AUB) = 20, n(A') = 14, Find n(A∩B) and n(U). A B 26 18 20 n(A∩B) = n(U) = Answer:_______________ |
| 5) If n(A) = 16,n(B) = 24,n(AUB) = 30, n(A') = 17, Find n(A∩B) and n(U). A B 16 24 30 n(A∩B) = n(U) = Answer:_______________ |
| 6) If n(A) = 20,n(B) = 25,n(AUB) = 20, n(A') = 15, Find n(A∩B) and n(U). A B 20 25 20 n(A∩B) = n(U) = Answer:_______________ |
| 7) If n(A) = 22,n(B) = 18,n(AUB) = 22, n(A') = 19, Find n(A∩B) and n(U). A B 22 18 22 n(A∩B) = n(U) = Answer:_______________ |
| 8) If n(A) = 16,n(B) = 10,n(AUB) = 21, n(A') = 15, Find n(A∩B) and n(U). A B 16 10 21 n(A∩B) = n(U) = Answer:_______________ |
| 9) If n(A) = 20,n(B) = 23,n(AUB) = 28, n(A') = 10, Find n(A∩B) and n(U). A B 20 23 28 n(A∩B) = n(U) = Answer:_______________ |
| 10) If n(A) = 16,n(B) = 16,n(AUB) = 24, n(A') = 17, Find n(A∩B) and n(U). A B 16 16 24 n(A∩B) = n(U) = Answer:_______________ |
| 1) If n(A) = 17,n(B) = 21,n(AUB) = 22, n(A') = 17, Find n(A∩B) and n(U). A B 17 21 22 n(A∩B) = Answer: 16 n(U) = Answer: 34 SOLUTION 1 : n(A) = 17, n(B) = 21, n(AUB) = 22, n(A") = 17 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 22 = 17 + 21 - n(A∩B) 22 = 38 - n(A∩B) n(A∩B) = 38 - 22 n(A∩B) = 16 HInt n(U) = n(A) + n(A") n(U) = 17 + 17 n(U) = 34 |
| 2) If n(A) = 15,n(B) = 20,n(AUB) = 28, n(A') = 20, Find n(A∩B) and n(U). A B 15 20 28 n(A∩B) = Answer: 7 n(U) = Answer: 35 SOLUTION 1 : n(A) = 15, n(B) = 20, n(AUB) = 28, n(A") = 20 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 15 + 20 - n(A∩B) 28 = 35 - n(A∩B) n(A∩B) = 35 - 28 n(A∩B) = 7 HInt n(U) = n(A) + n(A") n(U) = 15 + 20 n(U) = 35 |
| 3) If n(A) = 20,n(B) = 20,n(AUB) = 30, n(A') = 16, Find n(A∩B) and n(U). A B 20 20 30 n(A∩B) = Answer: 10 n(U) = Answer: 36 SOLUTION 1 : n(A) = 20, n(B) = 20, n(AUB) = 30, n(A") = 16 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 30 = 20 + 20 - n(A∩B) 30 = 40 - n(A∩B) n(A∩B) = 40 - 30 n(A∩B) = 10 HInt n(U) = n(A) + n(A") n(U) = 20 + 16 n(U) = 36 |
| 4) If n(A) = 26,n(B) = 18,n(AUB) = 20, n(A') = 14, Find n(A∩B) and n(U). A B 26 18 20 n(A∩B) = Answer: 24 n(U) = Answer: 40 SOLUTION 1 : n(A) = 26, n(B) = 18, n(AUB) = 20, n(A") = 14 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 20 = 26 + 18 - n(A∩B) 20 = 44 - n(A∩B) n(A∩B) = 44 - 20 n(A∩B) = 24 HInt n(U) = n(A) + n(A") n(U) = 26 + 14 n(U) = 40 |
| 5) If n(A) = 16,n(B) = 24,n(AUB) = 30, n(A') = 17, Find n(A∩B) and n(U). A B 16 24 30 n(A∩B) = Answer: 10 n(U) = Answer: 33 SOLUTION 1 : n(A) = 16, n(B) = 24, n(AUB) = 30, n(A") = 17 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 30 = 16 + 24 - n(A∩B) 30 = 40 - n(A∩B) n(A∩B) = 40 - 30 n(A∩B) = 10 HInt n(U) = n(A) + n(A") n(U) = 16 + 17 n(U) = 33 |
| 6) If n(A) = 20,n(B) = 25,n(AUB) = 20, n(A') = 15, Find n(A∩B) and n(U). A B 20 25 20 n(A∩B) = Answer: 25 n(U) = Answer: 35 SOLUTION 1 : n(A) = 20, n(B) = 25, n(AUB) = 20, n(A") = 15 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 20 = 20 + 25 - n(A∩B) 20 = 45 - n(A∩B) n(A∩B) = 45 - 20 n(A∩B) = 25 HInt n(U) = n(A) + n(A") n(U) = 20 + 15 n(U) = 35 |
| 7) If n(A) = 22,n(B) = 18,n(AUB) = 22, n(A') = 19, Find n(A∩B) and n(U). A B 22 18 22 n(A∩B) = Answer: 18 n(U) = Answer: 41 SOLUTION 1 : n(A) = 22, n(B) = 18, n(AUB) = 22, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 22 = 22 + 18 - n(A∩B) 22 = 40 - n(A∩B) n(A∩B) = 40 - 22 n(A∩B) = 18 HInt n(U) = n(A) + n(A") n(U) = 22 + 19 n(U) = 41 |
| 8) If n(A) = 16,n(B) = 10,n(AUB) = 21, n(A') = 15, Find n(A∩B) and n(U). A B 16 10 21 n(A∩B) = Answer: 5 n(U) = Answer: 31 SOLUTION 1 : n(A) = 16, n(B) = 10, n(AUB) = 21, n(A") = 15 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 16 + 10 - n(A∩B) 21 = 26 - n(A∩B) n(A∩B) = 26 - 21 n(A∩B) = 5 HInt n(U) = n(A) + n(A") n(U) = 16 + 15 n(U) = 31 |
| 9) If n(A) = 20,n(B) = 23,n(AUB) = 28, n(A') = 10, Find n(A∩B) and n(U). A B 20 23 28 n(A∩B) = Answer: 15 n(U) = Answer: 30 SOLUTION 1 : n(A) = 20, n(B) = 23, n(AUB) = 28, n(A") = 10 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 20 + 23 - n(A∩B) 28 = 43 - n(A∩B) n(A∩B) = 43 - 28 n(A∩B) = 15 HInt n(U) = n(A) + n(A") n(U) = 20 + 10 n(U) = 30 |
| 10) If n(A) = 16,n(B) = 16,n(AUB) = 24, n(A') = 17, Find n(A∩B) and n(U). A B 16 16 24 n(A∩B) = Answer: 8 n(U) = Answer: 33 SOLUTION 1 : n(A) = 16, n(B) = 16, n(AUB) = 24, n(A") = 17 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 24 = 16 + 16 - n(A∩B) 24 = 32 - n(A∩B) n(A∩B) = 32 - 24 n(A∩B) = 8 HInt n(U) = n(A) + n(A") n(U) = 16 + 17 n(U) = 33 |