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) = 23,n(B) = 17,n(AUB) = 21, n(A') = 17, Find n(A∩B) and n(U). A B 23 17 21 n(A∩B) = n(U) = Answer:_______________ |
| 2) If n(A) = 24,n(B) = 23,n(AUB) = 21, n(A') = 10, Find n(A∩B) and n(U). A B 24 23 21 n(A∩B) = n(U) = Answer:_______________ |
| 3) If n(A) = 23,n(B) = 20,n(AUB) = 21, n(A') = 11, Find n(A∩B) and n(U). A B 23 20 21 n(A∩B) = n(U) = Answer:_______________ |
| 4) If n(A) = 15,n(B) = 17,n(AUB) = 21, n(A') = 20, Find n(A∩B) and n(U). A B 15 17 21 n(A∩B) = n(U) = Answer:_______________ |
| 5) If n(A) = 24,n(B) = 20,n(AUB) = 30, n(A') = 16, Find n(A∩B) and n(U). A B 24 20 30 n(A∩B) = n(U) = Answer:_______________ |
| 6) If n(A) = 21,n(B) = 13,n(AUB) = 26, n(A') = 16, Find n(A∩B) and n(U). A B 21 13 26 n(A∩B) = n(U) = Answer:_______________ |
| 7) If n(A) = 15,n(B) = 14,n(AUB) = 30, n(A') = 13, Find n(A∩B) and n(U). A B 15 14 30 n(A∩B) = n(U) = Answer:_______________ |
| 8) If n(A) = 22,n(B) = 24,n(AUB) = 23, n(A') = 19, Find n(A∩B) and n(U). A B 22 24 23 n(A∩B) = n(U) = Answer:_______________ |
| 9) If n(A) = 25,n(B) = 22,n(AUB) = 21, n(A') = 11, Find n(A∩B) and n(U). A B 25 22 21 n(A∩B) = n(U) = Answer:_______________ |
| 10) If n(A) = 22,n(B) = 10,n(AUB) = 29, n(A') = 20, Find n(A∩B) and n(U). A B 22 10 29 n(A∩B) = n(U) = Answer:_______________ |
| 1) If n(A) = 23,n(B) = 17,n(AUB) = 21, n(A') = 17, Find n(A∩B) and n(U). A B 23 17 21 n(A∩B) = Answer: 19 n(U) = Answer: 40 SOLUTION 1 : n(A) = 23, n(B) = 17, n(AUB) = 21, n(A") = 17 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 23 + 17 - 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) = 23 + 17 n(U) = 40 |
| 2) If n(A) = 24,n(B) = 23,n(AUB) = 21, n(A') = 10, Find n(A∩B) and n(U). A B 24 23 21 n(A∩B) = Answer: 26 n(U) = Answer: 34 SOLUTION 1 : n(A) = 24, n(B) = 23, n(AUB) = 21, n(A") = 10 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 24 + 23 - n(A∩B) 21 = 47 - n(A∩B) n(A∩B) = 47 - 21 n(A∩B) = 26 HInt n(U) = n(A) + n(A") n(U) = 24 + 10 n(U) = 34 |
| 3) If n(A) = 23,n(B) = 20,n(AUB) = 21, n(A') = 11, Find n(A∩B) and n(U). A B 23 20 21 n(A∩B) = Answer: 22 n(U) = Answer: 34 SOLUTION 1 : n(A) = 23, n(B) = 20, n(AUB) = 21, n(A") = 11 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 23 + 20 - n(A∩B) 21 = 43 - n(A∩B) n(A∩B) = 43 - 21 n(A∩B) = 22 HInt n(U) = n(A) + n(A") n(U) = 23 + 11 n(U) = 34 |
| 4) If n(A) = 15,n(B) = 17,n(AUB) = 21, n(A') = 20, Find n(A∩B) and n(U). A B 15 17 21 n(A∩B) = Answer: 11 n(U) = Answer: 35 SOLUTION 1 : n(A) = 15, n(B) = 17, n(AUB) = 21, n(A") = 20 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 15 + 17 - n(A∩B) 21 = 32 - n(A∩B) n(A∩B) = 32 - 21 n(A∩B) = 11 HInt n(U) = n(A) + n(A") n(U) = 15 + 20 n(U) = 35 |
| 5) If n(A) = 24,n(B) = 20,n(AUB) = 30, n(A') = 16, Find n(A∩B) and n(U). A B 24 20 30 n(A∩B) = Answer: 14 n(U) = Answer: 40 SOLUTION 1 : n(A) = 24, n(B) = 20, n(AUB) = 30, n(A") = 16 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 30 = 24 + 20 - n(A∩B) 30 = 44 - n(A∩B) n(A∩B) = 44 - 30 n(A∩B) = 14 HInt n(U) = n(A) + n(A") n(U) = 24 + 16 n(U) = 40 |
| 6) If n(A) = 21,n(B) = 13,n(AUB) = 26, n(A') = 16, Find n(A∩B) and n(U). A B 21 13 26 n(A∩B) = Answer: 8 n(U) = Answer: 37 SOLUTION 1 : n(A) = 21, n(B) = 13, n(AUB) = 26, n(A") = 16 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 26 = 21 + 13 - n(A∩B) 26 = 34 - n(A∩B) n(A∩B) = 34 - 26 n(A∩B) = 8 HInt n(U) = n(A) + n(A") n(U) = 21 + 16 n(U) = 37 |
| 7) If n(A) = 15,n(B) = 14,n(AUB) = 30, n(A') = 13, Find n(A∩B) and n(U). A B 15 14 30 n(A∩B) = Answer: -1 n(U) = Answer: 28 SOLUTION 1 : n(A) = 15, n(B) = 14, n(AUB) = 30, n(A") = 13 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 30 = 15 + 14 - n(A∩B) 30 = 29 - n(A∩B) n(A∩B) = 29 - 30 n(A∩B) = -1 HInt n(U) = n(A) + n(A") n(U) = 15 + 13 n(U) = 28 |
| 8) If n(A) = 22,n(B) = 24,n(AUB) = 23, n(A') = 19, Find n(A∩B) and n(U). A B 22 24 23 n(A∩B) = Answer: 23 n(U) = Answer: 41 SOLUTION 1 : n(A) = 22, n(B) = 24, n(AUB) = 23, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 23 = 22 + 24 - n(A∩B) 23 = 46 - n(A∩B) n(A∩B) = 46 - 23 n(A∩B) = 23 HInt n(U) = n(A) + n(A") n(U) = 22 + 19 n(U) = 41 |
| 9) If n(A) = 25,n(B) = 22,n(AUB) = 21, n(A') = 11, Find n(A∩B) and n(U). A B 25 22 21 n(A∩B) = Answer: 26 n(U) = Answer: 36 SOLUTION 1 : n(A) = 25, n(B) = 22, n(AUB) = 21, n(A") = 11 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 25 + 22 - n(A∩B) 21 = 47 - n(A∩B) n(A∩B) = 47 - 21 n(A∩B) = 26 HInt n(U) = n(A) + n(A") n(U) = 25 + 11 n(U) = 36 |
| 10) If n(A) = 22,n(B) = 10,n(AUB) = 29, n(A') = 20, Find n(A∩B) and n(U). A B 22 10 29 n(A∩B) = Answer: 3 n(U) = Answer: 42 SOLUTION 1 : n(A) = 22, n(B) = 10, n(AUB) = 29, n(A") = 20 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 29 = 22 + 10 - 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) = 22 + 20 n(U) = 42 |