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) = 26,n(B) = 22,n(AUB) = 24, n(A') = 15, Find n(A∩B) and n(U). A B 26 22 24 n(A∩B) = n(U) = Answer:_______________ |
| 2) If n(A) = 26,n(B) = 14,n(AUB) = 22, n(A') = 19, Find n(A∩B) and n(U). A B 26 14 22 n(A∩B) = n(U) = Answer:_______________ |
| 3) If n(A) = 20,n(B) = 12,n(AUB) = 29, n(A') = 19, Find n(A∩B) and n(U). A B 20 12 29 n(A∩B) = n(U) = Answer:_______________ |
| 4) If n(A) = 21,n(B) = 23,n(AUB) = 29, n(A') = 19, Find n(A∩B) and n(U). A B 21 23 29 n(A∩B) = n(U) = Answer:_______________ |
| 5) If n(A) = 20,n(B) = 16,n(AUB) = 27, n(A') = 17, Find n(A∩B) and n(U). A B 20 16 27 n(A∩B) = n(U) = Answer:_______________ |
| 6) If n(A) = 24,n(B) = 15,n(AUB) = 20, n(A') = 13, Find n(A∩B) and n(U). A B 24 15 20 n(A∩B) = n(U) = Answer:_______________ |
| 7) If n(A) = 26,n(B) = 23,n(AUB) = 22, n(A') = 18, Find n(A∩B) and n(U). A B 26 23 22 n(A∩B) = n(U) = Answer:_______________ |
| 8) If n(A) = 22,n(B) = 14,n(AUB) = 23, n(A') = 11, Find n(A∩B) and n(U). A B 22 14 23 n(A∩B) = n(U) = Answer:_______________ |
| 9) If n(A) = 18,n(B) = 21,n(AUB) = 27, n(A') = 19, Find n(A∩B) and n(U). A B 18 21 27 n(A∩B) = n(U) = Answer:_______________ |
| 10) If n(A) = 19,n(B) = 24,n(AUB) = 22, n(A') = 20, Find n(A∩B) and n(U). A B 19 24 22 n(A∩B) = n(U) = Answer:_______________ |
| 1) If n(A) = 26,n(B) = 22,n(AUB) = 24, n(A') = 15, Find n(A∩B) and n(U). A B 26 22 24 n(A∩B) = Answer: 24 n(U) = Answer: 41 SOLUTION 1 : n(A) = 26, n(B) = 22, n(AUB) = 24, n(A") = 15 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 24 = 26 + 22 - n(A∩B) 24 = 48 - n(A∩B) n(A∩B) = 48 - 24 n(A∩B) = 24 HInt n(U) = n(A) + n(A") n(U) = 26 + 15 n(U) = 41 |
| 2) If n(A) = 26,n(B) = 14,n(AUB) = 22, n(A') = 19, Find n(A∩B) and n(U). A B 26 14 22 n(A∩B) = Answer: 18 n(U) = Answer: 45 SOLUTION 1 : n(A) = 26, n(B) = 14, n(AUB) = 22, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 22 = 26 + 14 - 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) = 26 + 19 n(U) = 45 |
| 3) If n(A) = 20,n(B) = 12,n(AUB) = 29, n(A') = 19, Find n(A∩B) and n(U). A B 20 12 29 n(A∩B) = Answer: 3 n(U) = Answer: 39 SOLUTION 1 : n(A) = 20, n(B) = 12, n(AUB) = 29, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 29 = 20 + 12 - n(A∩B) 29 = 32 - n(A∩B) n(A∩B) = 32 - 29 n(A∩B) = 3 HInt n(U) = n(A) + n(A") n(U) = 20 + 19 n(U) = 39 |
| 4) If n(A) = 21,n(B) = 23,n(AUB) = 29, n(A') = 19, Find n(A∩B) and n(U). A B 21 23 29 n(A∩B) = Answer: 15 n(U) = Answer: 40 SOLUTION 1 : n(A) = 21, n(B) = 23, n(AUB) = 29, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 29 = 21 + 23 - 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) = 21 + 19 n(U) = 40 |
| 5) If n(A) = 20,n(B) = 16,n(AUB) = 27, n(A') = 17, Find n(A∩B) and n(U). A B 20 16 27 n(A∩B) = Answer: 9 n(U) = Answer: 37 SOLUTION 1 : n(A) = 20, n(B) = 16, n(AUB) = 27, n(A") = 17 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 27 = 20 + 16 - n(A∩B) 27 = 36 - n(A∩B) n(A∩B) = 36 - 27 n(A∩B) = 9 HInt n(U) = n(A) + n(A") n(U) = 20 + 17 n(U) = 37 |
| 6) If n(A) = 24,n(B) = 15,n(AUB) = 20, n(A') = 13, Find n(A∩B) and n(U). A B 24 15 20 n(A∩B) = Answer: 19 n(U) = Answer: 37 SOLUTION 1 : n(A) = 24, n(B) = 15, n(AUB) = 20, n(A") = 13 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 20 = 24 + 15 - n(A∩B) 20 = 39 - n(A∩B) n(A∩B) = 39 - 20 n(A∩B) = 19 HInt n(U) = n(A) + n(A") n(U) = 24 + 13 n(U) = 37 |
| 7) If n(A) = 26,n(B) = 23,n(AUB) = 22, n(A') = 18, Find n(A∩B) and n(U). A B 26 23 22 n(A∩B) = Answer: 27 n(U) = Answer: 44 SOLUTION 1 : n(A) = 26, n(B) = 23, n(AUB) = 22, n(A") = 18 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 22 = 26 + 23 - n(A∩B) 22 = 49 - n(A∩B) n(A∩B) = 49 - 22 n(A∩B) = 27 HInt n(U) = n(A) + n(A") n(U) = 26 + 18 n(U) = 44 |
| 8) If n(A) = 22,n(B) = 14,n(AUB) = 23, n(A') = 11, Find n(A∩B) and n(U). A B 22 14 23 n(A∩B) = Answer: 13 n(U) = Answer: 33 SOLUTION 1 : n(A) = 22, n(B) = 14, n(AUB) = 23, n(A") = 11 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 23 = 22 + 14 - n(A∩B) 23 = 36 - n(A∩B) n(A∩B) = 36 - 23 n(A∩B) = 13 HInt n(U) = n(A) + n(A") n(U) = 22 + 11 n(U) = 33 |
| 9) If n(A) = 18,n(B) = 21,n(AUB) = 27, n(A') = 19, Find n(A∩B) and n(U). A B 18 21 27 n(A∩B) = Answer: 12 n(U) = Answer: 37 SOLUTION 1 : n(A) = 18, n(B) = 21, n(AUB) = 27, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 27 = 18 + 21 - n(A∩B) 27 = 39 - n(A∩B) n(A∩B) = 39 - 27 n(A∩B) = 12 HInt n(U) = n(A) + n(A") n(U) = 18 + 19 n(U) = 37 |
| 10) If n(A) = 19,n(B) = 24,n(AUB) = 22, n(A') = 20, Find n(A∩B) and n(U). A B 19 24 22 n(A∩B) = Answer: 21 n(U) = Answer: 39 SOLUTION 1 : n(A) = 19, n(B) = 24, n(AUB) = 22, n(A") = 20 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 22 = 19 + 24 - n(A∩B) 22 = 43 - n(A∩B) n(A∩B) = 43 - 22 n(A∩B) = 21 HInt n(U) = n(A) + n(A") n(U) = 19 + 20 n(U) = 39 |