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) = 16,n(B) = 14,n(AUB) = 27, n(A') = 16, Find n(A∩B) and n(U). A B 16 14 27 n(A∩B) = n(U) = Answer:_______________ |
| 2) If n(A) = 16,n(B) = 21,n(AUB) = 23, n(A') = 20, Find n(A∩B) and n(U). A B 16 21 23 n(A∩B) = n(U) = Answer:_______________ |
| 3) If n(A) = 24,n(B) = 21,n(AUB) = 29, n(A') = 15, Find n(A∩B) and n(U). A B 24 21 29 n(A∩B) = n(U) = Answer:_______________ |
| 4) If n(A) = 18,n(B) = 22,n(AUB) = 21, n(A') = 13, Find n(A∩B) and n(U). A B 18 22 21 n(A∩B) = n(U) = Answer:_______________ |
| 5) If n(A) = 23,n(B) = 23,n(AUB) = 22, n(A') = 19, Find n(A∩B) and n(U). A B 23 23 22 n(A∩B) = n(U) = Answer:_______________ |
| 6) If n(A) = 21,n(B) = 20,n(AUB) = 28, n(A') = 11, Find n(A∩B) and n(U). A B 21 20 28 n(A∩B) = n(U) = Answer:_______________ |
| 7) If n(A) = 17,n(B) = 10,n(AUB) = 20, n(A') = 13, Find n(A∩B) and n(U). A B 17 10 20 n(A∩B) = n(U) = Answer:_______________ |
| 8) If n(A) = 16,n(B) = 18,n(AUB) = 28, n(A') = 11, Find n(A∩B) and n(U). A B 16 18 28 n(A∩B) = n(U) = Answer:_______________ |
| 9) If n(A) = 16,n(B) = 17,n(AUB) = 21, n(A') = 18, Find n(A∩B) and n(U). A B 16 17 21 n(A∩B) = n(U) = Answer:_______________ |
| 10) If n(A) = 23,n(B) = 22,n(AUB) = 24, n(A') = 15, Find n(A∩B) and n(U). A B 23 22 24 n(A∩B) = n(U) = Answer:_______________ |
| 1) If n(A) = 16,n(B) = 14,n(AUB) = 27, n(A') = 16, Find n(A∩B) and n(U). A B 16 14 27 n(A∩B) = Answer: 3 n(U) = Answer: 32 SOLUTION 1 : n(A) = 16, n(B) = 14, n(AUB) = 27, n(A") = 16 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 27 = 16 + 14 - n(A∩B) 27 = 30 - n(A∩B) n(A∩B) = 30 - 27 n(A∩B) = 3 HInt n(U) = n(A) + n(A") n(U) = 16 + 16 n(U) = 32 |
| 2) If n(A) = 16,n(B) = 21,n(AUB) = 23, n(A') = 20, Find n(A∩B) and n(U). A B 16 21 23 n(A∩B) = Answer: 14 n(U) = Answer: 36 SOLUTION 1 : n(A) = 16, n(B) = 21, n(AUB) = 23, n(A") = 20 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 23 = 16 + 21 - n(A∩B) 23 = 37 - n(A∩B) n(A∩B) = 37 - 23 n(A∩B) = 14 HInt n(U) = n(A) + n(A") n(U) = 16 + 20 n(U) = 36 |
| 3) If n(A) = 24,n(B) = 21,n(AUB) = 29, n(A') = 15, Find n(A∩B) and n(U). A B 24 21 29 n(A∩B) = Answer: 16 n(U) = Answer: 39 SOLUTION 1 : n(A) = 24, n(B) = 21, n(AUB) = 29, n(A") = 15 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 29 = 24 + 21 - n(A∩B) 29 = 45 - n(A∩B) n(A∩B) = 45 - 29 n(A∩B) = 16 HInt n(U) = n(A) + n(A") n(U) = 24 + 15 n(U) = 39 |
| 4) If n(A) = 18,n(B) = 22,n(AUB) = 21, n(A') = 13, Find n(A∩B) and n(U). A B 18 22 21 n(A∩B) = Answer: 19 n(U) = Answer: 31 SOLUTION 1 : n(A) = 18, n(B) = 22, n(AUB) = 21, n(A") = 13 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 18 + 22 - n(A∩B) 21 = 40 - n(A∩B) n(A∩B) = 40 - 21 n(A∩B) = 19 HInt n(U) = n(A) + n(A") n(U) = 18 + 13 n(U) = 31 |
| 5) If n(A) = 23,n(B) = 23,n(AUB) = 22, n(A') = 19, Find n(A∩B) and n(U). A B 23 23 22 n(A∩B) = Answer: 24 n(U) = Answer: 42 SOLUTION 1 : n(A) = 23, n(B) = 23, n(AUB) = 22, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 22 = 23 + 23 - n(A∩B) 22 = 46 - n(A∩B) n(A∩B) = 46 - 22 n(A∩B) = 24 HInt n(U) = n(A) + n(A") n(U) = 23 + 19 n(U) = 42 |
| 6) If n(A) = 21,n(B) = 20,n(AUB) = 28, n(A') = 11, Find n(A∩B) and n(U). A B 21 20 28 n(A∩B) = Answer: 13 n(U) = Answer: 32 SOLUTION 1 : n(A) = 21, n(B) = 20, n(AUB) = 28, n(A") = 11 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 21 + 20 - n(A∩B) 28 = 41 - n(A∩B) n(A∩B) = 41 - 28 n(A∩B) = 13 HInt n(U) = n(A) + n(A") n(U) = 21 + 11 n(U) = 32 |
| 7) If n(A) = 17,n(B) = 10,n(AUB) = 20, n(A') = 13, Find n(A∩B) and n(U). A B 17 10 20 n(A∩B) = Answer: 7 n(U) = Answer: 30 SOLUTION 1 : n(A) = 17, n(B) = 10, n(AUB) = 20, n(A") = 13 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 20 = 17 + 10 - n(A∩B) 20 = 27 - n(A∩B) n(A∩B) = 27 - 20 n(A∩B) = 7 HInt n(U) = n(A) + n(A") n(U) = 17 + 13 n(U) = 30 |
| 8) If n(A) = 16,n(B) = 18,n(AUB) = 28, n(A') = 11, Find n(A∩B) and n(U). A B 16 18 28 n(A∩B) = Answer: 6 n(U) = Answer: 27 SOLUTION 1 : n(A) = 16, n(B) = 18, n(AUB) = 28, n(A") = 11 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 16 + 18 - n(A∩B) 28 = 34 - n(A∩B) n(A∩B) = 34 - 28 n(A∩B) = 6 HInt n(U) = n(A) + n(A") n(U) = 16 + 11 n(U) = 27 |
| 9) If n(A) = 16,n(B) = 17,n(AUB) = 21, n(A') = 18, Find n(A∩B) and n(U). A B 16 17 21 n(A∩B) = Answer: 12 n(U) = Answer: 34 SOLUTION 1 : n(A) = 16, n(B) = 17, n(AUB) = 21, n(A") = 18 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 16 + 17 - n(A∩B) 21 = 33 - n(A∩B) n(A∩B) = 33 - 21 n(A∩B) = 12 HInt n(U) = n(A) + n(A") n(U) = 16 + 18 n(U) = 34 |
| 10) If n(A) = 23,n(B) = 22,n(AUB) = 24, n(A') = 15, Find n(A∩B) and n(U). A B 23 22 24 n(A∩B) = Answer: 21 n(U) = Answer: 38 SOLUTION 1 : n(A) = 23, n(B) = 22, n(AUB) = 24, n(A") = 15 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 24 = 23 + 22 - n(A∩B) 24 = 45 - n(A∩B) n(A∩B) = 45 - 24 n(A∩B) = 21 HInt n(U) = n(A) + n(A") n(U) = 23 + 15 n(U) = 38 |