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) = 24,n(B) = 20,n(AUB) = 29, n(A') = 14, Find n(A∩B) and n(U). A B 24 20 29 n(A∩B) = n(U) = Answer:_______________ |
| 2) If n(A) = 15,n(B) = 12,n(AUB) = 21, n(A') = 15, Find n(A∩B) and n(U). A B 15 12 21 n(A∩B) = n(U) = Answer:_______________ |
| 3) If n(A) = 22,n(B) = 14,n(AUB) = 21, n(A') = 17, Find n(A∩B) and n(U). A B 22 14 21 n(A∩B) = n(U) = Answer:_______________ |
| 4) If n(A) = 26,n(B) = 23,n(AUB) = 21, n(A') = 10, Find n(A∩B) and n(U). A B 26 23 21 n(A∩B) = n(U) = Answer:_______________ |
| 5) If n(A) = 22,n(B) = 15,n(AUB) = 24, n(A') = 20, Find n(A∩B) and n(U). A B 22 15 24 n(A∩B) = n(U) = Answer:_______________ |
| 6) If n(A) = 20,n(B) = 24,n(AUB) = 21, n(A') = 18, Find n(A∩B) and n(U). A B 20 24 21 n(A∩B) = n(U) = Answer:_______________ |
| 7) If n(A) = 15,n(B) = 22,n(AUB) = 22, n(A') = 12, Find n(A∩B) and n(U). A B 15 22 22 n(A∩B) = n(U) = Answer:_______________ |
| 8) If n(A) = 24,n(B) = 13,n(AUB) = 26, n(A') = 19, Find n(A∩B) and n(U). A B 24 13 26 n(A∩B) = n(U) = Answer:_______________ |
| 9) If n(A) = 15,n(B) = 17,n(AUB) = 23, n(A') = 17, Find n(A∩B) and n(U). A B 15 17 23 n(A∩B) = n(U) = Answer:_______________ |
| 10) If n(A) = 23,n(B) = 24,n(AUB) = 29, n(A') = 13, Find n(A∩B) and n(U). A B 23 24 29 n(A∩B) = n(U) = Answer:_______________ |
| 1) If n(A) = 24,n(B) = 20,n(AUB) = 29, n(A') = 14, Find n(A∩B) and n(U). A B 24 20 29 n(A∩B) = Answer: 15 n(U) = Answer: 38 SOLUTION 1 : n(A) = 24, n(B) = 20, n(AUB) = 29, n(A") = 14 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 29 = 24 + 20 - n(A∩B) 29 = 44 - n(A∩B) n(A∩B) = 44 - 29 n(A∩B) = 15 HInt n(U) = n(A) + n(A") n(U) = 24 + 14 n(U) = 38 |
| 2) If n(A) = 15,n(B) = 12,n(AUB) = 21, n(A') = 15, Find n(A∩B) and n(U). A B 15 12 21 n(A∩B) = Answer: 6 n(U) = Answer: 30 SOLUTION 1 : n(A) = 15, n(B) = 12, n(AUB) = 21, n(A") = 15 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 15 + 12 - n(A∩B) 21 = 27 - n(A∩B) n(A∩B) = 27 - 21 n(A∩B) = 6 HInt n(U) = n(A) + n(A") n(U) = 15 + 15 n(U) = 30 |
| 3) If n(A) = 22,n(B) = 14,n(AUB) = 21, n(A') = 17, Find n(A∩B) and n(U). A B 22 14 21 n(A∩B) = Answer: 15 n(U) = Answer: 39 SOLUTION 1 : n(A) = 22, n(B) = 14, n(AUB) = 21, n(A") = 17 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 22 + 14 - n(A∩B) 21 = 36 - n(A∩B) n(A∩B) = 36 - 21 n(A∩B) = 15 HInt n(U) = n(A) + n(A") n(U) = 22 + 17 n(U) = 39 |
| 4) If n(A) = 26,n(B) = 23,n(AUB) = 21, n(A') = 10, Find n(A∩B) and n(U). A B 26 23 21 n(A∩B) = Answer: 28 n(U) = Answer: 36 SOLUTION 1 : n(A) = 26, n(B) = 23, n(AUB) = 21, n(A") = 10 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 26 + 23 - n(A∩B) 21 = 49 - n(A∩B) n(A∩B) = 49 - 21 n(A∩B) = 28 HInt n(U) = n(A) + n(A") n(U) = 26 + 10 n(U) = 36 |
| 5) If n(A) = 22,n(B) = 15,n(AUB) = 24, n(A') = 20, Find n(A∩B) and n(U). A B 22 15 24 n(A∩B) = Answer: 13 n(U) = Answer: 42 SOLUTION 1 : n(A) = 22, n(B) = 15, n(AUB) = 24, n(A") = 20 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 24 = 22 + 15 - n(A∩B) 24 = 37 - n(A∩B) n(A∩B) = 37 - 24 n(A∩B) = 13 HInt n(U) = n(A) + n(A") n(U) = 22 + 20 n(U) = 42 |
| 6) If n(A) = 20,n(B) = 24,n(AUB) = 21, n(A') = 18, Find n(A∩B) and n(U). A B 20 24 21 n(A∩B) = Answer: 23 n(U) = Answer: 38 SOLUTION 1 : n(A) = 20, n(B) = 24, n(AUB) = 21, n(A") = 18 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 20 + 24 - n(A∩B) 21 = 44 - n(A∩B) n(A∩B) = 44 - 21 n(A∩B) = 23 HInt n(U) = n(A) + n(A") n(U) = 20 + 18 n(U) = 38 |
| 7) If n(A) = 15,n(B) = 22,n(AUB) = 22, n(A') = 12, Find n(A∩B) and n(U). A B 15 22 22 n(A∩B) = Answer: 15 n(U) = Answer: 27 SOLUTION 1 : n(A) = 15, n(B) = 22, n(AUB) = 22, n(A") = 12 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 22 = 15 + 22 - n(A∩B) 22 = 37 - n(A∩B) n(A∩B) = 37 - 22 n(A∩B) = 15 HInt n(U) = n(A) + n(A") n(U) = 15 + 12 n(U) = 27 |
| 8) If n(A) = 24,n(B) = 13,n(AUB) = 26, n(A') = 19, Find n(A∩B) and n(U). A B 24 13 26 n(A∩B) = Answer: 11 n(U) = Answer: 43 SOLUTION 1 : n(A) = 24, n(B) = 13, n(AUB) = 26, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 26 = 24 + 13 - n(A∩B) 26 = 37 - n(A∩B) n(A∩B) = 37 - 26 n(A∩B) = 11 HInt n(U) = n(A) + n(A") n(U) = 24 + 19 n(U) = 43 |
| 9) If n(A) = 15,n(B) = 17,n(AUB) = 23, n(A') = 17, Find n(A∩B) and n(U). A B 15 17 23 n(A∩B) = Answer: 9 n(U) = Answer: 32 SOLUTION 1 : n(A) = 15, n(B) = 17, n(AUB) = 23, n(A") = 17 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 23 = 15 + 17 - n(A∩B) 23 = 32 - n(A∩B) n(A∩B) = 32 - 23 n(A∩B) = 9 HInt n(U) = n(A) + n(A") n(U) = 15 + 17 n(U) = 32 |
| 10) If n(A) = 23,n(B) = 24,n(AUB) = 29, n(A') = 13, Find n(A∩B) and n(U). A B 23 24 29 n(A∩B) = Answer: 18 n(U) = Answer: 36 SOLUTION 1 : n(A) = 23, n(B) = 24, n(AUB) = 29, n(A") = 13 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 29 = 23 + 24 - n(A∩B) 29 = 47 - n(A∩B) n(A∩B) = 47 - 29 n(A∩B) = 18 HInt n(U) = n(A) + n(A") n(U) = 23 + 13 n(U) = 36 |