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) = 20,n(B) = 19,n(AUB) = 26, n(A') = 12, Find n(A∩B) and n(U). A B 20 19 26 n(A∩B) = n(U) = Answer:_______________ |
| 2) If n(A) = 22,n(B) = 16,n(AUB) = 28, n(A') = 18, Find n(A∩B) and n(U). A B 22 16 28 n(A∩B) = n(U) = Answer:_______________ |
| 3) If n(A) = 23,n(B) = 10,n(AUB) = 22, n(A') = 13, Find n(A∩B) and n(U). A B 23 10 22 n(A∩B) = n(U) = Answer:_______________ |
| 4) If n(A) = 22,n(B) = 25,n(AUB) = 28, n(A') = 18, Find n(A∩B) and n(U). A B 22 25 28 n(A∩B) = n(U) = Answer:_______________ |
| 5) If n(A) = 23,n(B) = 12,n(AUB) = 25, n(A') = 13, Find n(A∩B) and n(U). A B 23 12 25 n(A∩B) = n(U) = Answer:_______________ |
| 6) If n(A) = 23,n(B) = 19,n(AUB) = 28, n(A') = 19, Find n(A∩B) and n(U). A B 23 19 28 n(A∩B) = n(U) = Answer:_______________ |
| 7) If n(A) = 24,n(B) = 14,n(AUB) = 30, n(A') = 19, Find n(A∩B) and n(U). A B 24 14 30 n(A∩B) = n(U) = Answer:_______________ |
| 8) If n(A) = 19,n(B) = 12,n(AUB) = 29, n(A') = 17, Find n(A∩B) and n(U). A B 19 12 29 n(A∩B) = n(U) = Answer:_______________ |
| 9) If n(A) = 18,n(B) = 15,n(AUB) = 30, n(A') = 19, Find n(A∩B) and n(U). A B 18 15 30 n(A∩B) = n(U) = Answer:_______________ |
| 10) If n(A) = 25,n(B) = 24,n(AUB) = 26, n(A') = 13, Find n(A∩B) and n(U). A B 25 24 26 n(A∩B) = n(U) = Answer:_______________ |
| 1) If n(A) = 20,n(B) = 19,n(AUB) = 26, n(A') = 12, Find n(A∩B) and n(U). A B 20 19 26 n(A∩B) = Answer: 13 n(U) = Answer: 32 SOLUTION 1 : n(A) = 20, n(B) = 19, n(AUB) = 26, n(A") = 12 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 26 = 20 + 19 - n(A∩B) 26 = 39 - n(A∩B) n(A∩B) = 39 - 26 n(A∩B) = 13 HInt n(U) = n(A) + n(A") n(U) = 20 + 12 n(U) = 32 |
| 2) If n(A) = 22,n(B) = 16,n(AUB) = 28, n(A') = 18, Find n(A∩B) and n(U). A B 22 16 28 n(A∩B) = Answer: 10 n(U) = Answer: 40 SOLUTION 1 : n(A) = 22, n(B) = 16, n(AUB) = 28, n(A") = 18 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 22 + 16 - n(A∩B) 28 = 38 - n(A∩B) n(A∩B) = 38 - 28 n(A∩B) = 10 HInt n(U) = n(A) + n(A") n(U) = 22 + 18 n(U) = 40 |
| 3) If n(A) = 23,n(B) = 10,n(AUB) = 22, n(A') = 13, Find n(A∩B) and n(U). A B 23 10 22 n(A∩B) = Answer: 11 n(U) = Answer: 36 SOLUTION 1 : n(A) = 23, n(B) = 10, n(AUB) = 22, n(A") = 13 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 22 = 23 + 10 - n(A∩B) 22 = 33 - n(A∩B) n(A∩B) = 33 - 22 n(A∩B) = 11 HInt n(U) = n(A) + n(A") n(U) = 23 + 13 n(U) = 36 |
| 4) If n(A) = 22,n(B) = 25,n(AUB) = 28, n(A') = 18, Find n(A∩B) and n(U). A B 22 25 28 n(A∩B) = Answer: 19 n(U) = Answer: 40 SOLUTION 1 : n(A) = 22, n(B) = 25, n(AUB) = 28, n(A") = 18 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 22 + 25 - n(A∩B) 28 = 47 - n(A∩B) n(A∩B) = 47 - 28 n(A∩B) = 19 HInt n(U) = n(A) + n(A") n(U) = 22 + 18 n(U) = 40 |
| 5) If n(A) = 23,n(B) = 12,n(AUB) = 25, n(A') = 13, Find n(A∩B) and n(U). A B 23 12 25 n(A∩B) = Answer: 10 n(U) = Answer: 36 SOLUTION 1 : n(A) = 23, n(B) = 12, n(AUB) = 25, n(A") = 13 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 25 = 23 + 12 - n(A∩B) 25 = 35 - n(A∩B) n(A∩B) = 35 - 25 n(A∩B) = 10 HInt n(U) = n(A) + n(A") n(U) = 23 + 13 n(U) = 36 |
| 6) If n(A) = 23,n(B) = 19,n(AUB) = 28, n(A') = 19, Find n(A∩B) and n(U). A B 23 19 28 n(A∩B) = Answer: 14 n(U) = Answer: 42 SOLUTION 1 : n(A) = 23, n(B) = 19, n(AUB) = 28, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 23 + 19 - 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) = 23 + 19 n(U) = 42 |
| 7) If n(A) = 24,n(B) = 14,n(AUB) = 30, n(A') = 19, Find n(A∩B) and n(U). A B 24 14 30 n(A∩B) = Answer: 8 n(U) = Answer: 43 SOLUTION 1 : n(A) = 24, n(B) = 14, n(AUB) = 30, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 30 = 24 + 14 - n(A∩B) 30 = 38 - n(A∩B) n(A∩B) = 38 - 30 n(A∩B) = 8 HInt n(U) = n(A) + n(A") n(U) = 24 + 19 n(U) = 43 |
| 8) If n(A) = 19,n(B) = 12,n(AUB) = 29, n(A') = 17, Find n(A∩B) and n(U). A B 19 12 29 n(A∩B) = Answer: 2 n(U) = Answer: 36 SOLUTION 1 : n(A) = 19, n(B) = 12, n(AUB) = 29, n(A") = 17 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 29 = 19 + 12 - n(A∩B) 29 = 31 - n(A∩B) n(A∩B) = 31 - 29 n(A∩B) = 2 HInt n(U) = n(A) + n(A") n(U) = 19 + 17 n(U) = 36 |
| 9) If n(A) = 18,n(B) = 15,n(AUB) = 30, n(A') = 19, Find n(A∩B) and n(U). A B 18 15 30 n(A∩B) = Answer: 3 n(U) = Answer: 37 SOLUTION 1 : n(A) = 18, n(B) = 15, n(AUB) = 30, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 30 = 18 + 15 - n(A∩B) 30 = 33 - n(A∩B) n(A∩B) = 33 - 30 n(A∩B) = 3 HInt n(U) = n(A) + n(A") n(U) = 18 + 19 n(U) = 37 |
| 10) If n(A) = 25,n(B) = 24,n(AUB) = 26, n(A') = 13, Find n(A∩B) and n(U). A B 25 24 26 n(A∩B) = Answer: 23 n(U) = Answer: 38 SOLUTION 1 : n(A) = 25, n(B) = 24, n(AUB) = 26, n(A") = 13 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 26 = 25 + 24 - n(A∩B) 26 = 49 - n(A∩B) n(A∩B) = 49 - 26 n(A∩B) = 23 HInt n(U) = n(A) + n(A") n(U) = 25 + 13 n(U) = 38 |