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) = 19,n(AUB) = 24, n(A') = 13, Find n(A∩B) and n(U). A B 16 19 24 n(A∩B) = n(U) = Answer:_______________ |
| 2) If n(A) = 22,n(B) = 20,n(AUB) = 28, n(A') = 14, Find n(A∩B) and n(U). A B 22 20 28 n(A∩B) = n(U) = Answer:_______________ |
| 3) If n(A) = 18,n(B) = 14,n(AUB) = 28, n(A') = 13, Find n(A∩B) and n(U). A B 18 14 28 n(A∩B) = n(U) = Answer:_______________ |
| 4) If n(A) = 24,n(B) = 19,n(AUB) = 27, n(A') = 13, Find n(A∩B) and n(U). A B 24 19 27 n(A∩B) = n(U) = Answer:_______________ |
| 5) If n(A) = 22,n(B) = 23,n(AUB) = 21, n(A') = 19, Find n(A∩B) and n(U). A B 22 23 21 n(A∩B) = n(U) = Answer:_______________ |
| 6) If n(A) = 23,n(B) = 18,n(AUB) = 29, n(A') = 18, Find n(A∩B) and n(U). A B 23 18 29 n(A∩B) = n(U) = Answer:_______________ |
| 7) If n(A) = 17,n(B) = 12,n(AUB) = 26, n(A') = 15, Find n(A∩B) and n(U). A B 17 12 26 n(A∩B) = n(U) = Answer:_______________ |
| 8) If n(A) = 19,n(B) = 16,n(AUB) = 26, n(A') = 14, Find n(A∩B) and n(U). A B 19 16 26 n(A∩B) = n(U) = Answer:_______________ |
| 9) If n(A) = 25,n(B) = 17,n(AUB) = 20, n(A') = 19, Find n(A∩B) and n(U). A B 25 17 20 n(A∩B) = n(U) = Answer:_______________ |
| 10) If n(A) = 26,n(B) = 19,n(AUB) = 28, n(A') = 15, Find n(A∩B) and n(U). A B 26 19 28 n(A∩B) = n(U) = Answer:_______________ |
| 1) If n(A) = 16,n(B) = 19,n(AUB) = 24, n(A') = 13, Find n(A∩B) and n(U). A B 16 19 24 n(A∩B) = Answer: 11 n(U) = Answer: 29 SOLUTION 1 : n(A) = 16, n(B) = 19, n(AUB) = 24, n(A") = 13 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 24 = 16 + 19 - n(A∩B) 24 = 35 - n(A∩B) n(A∩B) = 35 - 24 n(A∩B) = 11 HInt n(U) = n(A) + n(A") n(U) = 16 + 13 n(U) = 29 |
| 2) If n(A) = 22,n(B) = 20,n(AUB) = 28, n(A') = 14, Find n(A∩B) and n(U). A B 22 20 28 n(A∩B) = Answer: 14 n(U) = Answer: 36 SOLUTION 1 : n(A) = 22, n(B) = 20, n(AUB) = 28, n(A") = 14 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 22 + 20 - n(A∩B) 28 = 42 - n(A∩B) n(A∩B) = 42 - 28 n(A∩B) = 14 HInt n(U) = n(A) + n(A") n(U) = 22 + 14 n(U) = 36 |
| 3) If n(A) = 18,n(B) = 14,n(AUB) = 28, n(A') = 13, Find n(A∩B) and n(U). A B 18 14 28 n(A∩B) = Answer: 4 n(U) = Answer: 31 SOLUTION 1 : n(A) = 18, n(B) = 14, n(AUB) = 28, n(A") = 13 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 18 + 14 - n(A∩B) 28 = 32 - n(A∩B) n(A∩B) = 32 - 28 n(A∩B) = 4 HInt n(U) = n(A) + n(A") n(U) = 18 + 13 n(U) = 31 |
| 4) If n(A) = 24,n(B) = 19,n(AUB) = 27, n(A') = 13, Find n(A∩B) and n(U). A B 24 19 27 n(A∩B) = Answer: 16 n(U) = Answer: 37 SOLUTION 1 : n(A) = 24, n(B) = 19, n(AUB) = 27, n(A") = 13 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 27 = 24 + 19 - n(A∩B) 27 = 43 - n(A∩B) n(A∩B) = 43 - 27 n(A∩B) = 16 HInt n(U) = n(A) + n(A") n(U) = 24 + 13 n(U) = 37 |
| 5) If n(A) = 22,n(B) = 23,n(AUB) = 21, n(A') = 19, Find n(A∩B) and n(U). A B 22 23 21 n(A∩B) = Answer: 24 n(U) = Answer: 41 SOLUTION 1 : n(A) = 22, n(B) = 23, n(AUB) = 21, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 22 + 23 - n(A∩B) 21 = 45 - n(A∩B) n(A∩B) = 45 - 21 n(A∩B) = 24 HInt n(U) = n(A) + n(A") n(U) = 22 + 19 n(U) = 41 |
| 6) If n(A) = 23,n(B) = 18,n(AUB) = 29, n(A') = 18, Find n(A∩B) and n(U). A B 23 18 29 n(A∩B) = Answer: 12 n(U) = Answer: 41 SOLUTION 1 : n(A) = 23, n(B) = 18, n(AUB) = 29, n(A") = 18 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 29 = 23 + 18 - n(A∩B) 29 = 41 - n(A∩B) n(A∩B) = 41 - 29 n(A∩B) = 12 HInt n(U) = n(A) + n(A") n(U) = 23 + 18 n(U) = 41 |
| 7) If n(A) = 17,n(B) = 12,n(AUB) = 26, n(A') = 15, Find n(A∩B) and n(U). A B 17 12 26 n(A∩B) = Answer: 3 n(U) = Answer: 32 SOLUTION 1 : n(A) = 17, n(B) = 12, n(AUB) = 26, n(A") = 15 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 26 = 17 + 12 - n(A∩B) 26 = 29 - n(A∩B) n(A∩B) = 29 - 26 n(A∩B) = 3 HInt n(U) = n(A) + n(A") n(U) = 17 + 15 n(U) = 32 |
| 8) If n(A) = 19,n(B) = 16,n(AUB) = 26, n(A') = 14, Find n(A∩B) and n(U). A B 19 16 26 n(A∩B) = Answer: 9 n(U) = Answer: 33 SOLUTION 1 : n(A) = 19, n(B) = 16, n(AUB) = 26, n(A") = 14 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 26 = 19 + 16 - n(A∩B) 26 = 35 - n(A∩B) n(A∩B) = 35 - 26 n(A∩B) = 9 HInt n(U) = n(A) + n(A") n(U) = 19 + 14 n(U) = 33 |
| 9) If n(A) = 25,n(B) = 17,n(AUB) = 20, n(A') = 19, Find n(A∩B) and n(U). A B 25 17 20 n(A∩B) = Answer: 22 n(U) = Answer: 44 SOLUTION 1 : n(A) = 25, n(B) = 17, n(AUB) = 20, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 20 = 25 + 17 - n(A∩B) 20 = 42 - n(A∩B) n(A∩B) = 42 - 20 n(A∩B) = 22 HInt n(U) = n(A) + n(A") n(U) = 25 + 19 n(U) = 44 |
| 10) If n(A) = 26,n(B) = 19,n(AUB) = 28, n(A') = 15, Find n(A∩B) and n(U). A B 26 19 28 n(A∩B) = Answer: 17 n(U) = Answer: 41 SOLUTION 1 : n(A) = 26, n(B) = 19, n(AUB) = 28, n(A") = 15 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 26 + 19 - n(A∩B) 28 = 45 - n(A∩B) n(A∩B) = 45 - 28 n(A∩B) = 17 HInt n(U) = n(A) + n(A") n(U) = 26 + 15 n(U) = 41 |