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) = 19,n(B) = 13,n(AUB) = 23, n(A') = 18, Find n(A∩B) and n(U). A B 19 13 23 n(A∩B) = n(U) = Answer:_______________ |
| 2) If n(A) = 16,n(B) = 22,n(AUB) = 29, n(A') = 12, Find n(A∩B) and n(U). A B 16 22 29 n(A∩B) = n(U) = Answer:_______________ |
| 3) If n(A) = 24,n(B) = 12,n(AUB) = 29, n(A') = 18, Find n(A∩B) and n(U). A B 24 12 29 n(A∩B) = n(U) = Answer:_______________ |
| 4) If n(A) = 22,n(B) = 11,n(AUB) = 25, n(A') = 12, Find n(A∩B) and n(U). A B 22 11 25 n(A∩B) = n(U) = Answer:_______________ |
| 5) If n(A) = 23,n(B) = 20,n(AUB) = 28, n(A') = 16, Find n(A∩B) and n(U). A B 23 20 28 n(A∩B) = n(U) = Answer:_______________ |
| 6) If n(A) = 15,n(B) = 17,n(AUB) = 25, n(A') = 14, Find n(A∩B) and n(U). A B 15 17 25 n(A∩B) = n(U) = Answer:_______________ |
| 7) If n(A) = 25,n(B) = 16,n(AUB) = 30, n(A') = 15, Find n(A∩B) and n(U). A B 25 16 30 n(A∩B) = n(U) = Answer:_______________ |
| 8) If n(A) = 15,n(B) = 24,n(AUB) = 24, n(A') = 17, Find n(A∩B) and n(U). A B 15 24 24 n(A∩B) = n(U) = Answer:_______________ |
| 9) If n(A) = 26,n(B) = 13,n(AUB) = 29, n(A') = 19, Find n(A∩B) and n(U). A B 26 13 29 n(A∩B) = n(U) = Answer:_______________ |
| 10) If n(A) = 22,n(B) = 10,n(AUB) = 22, n(A') = 16, Find n(A∩B) and n(U). A B 22 10 22 n(A∩B) = n(U) = Answer:_______________ |
| 1) If n(A) = 19,n(B) = 13,n(AUB) = 23, n(A') = 18, Find n(A∩B) and n(U). A B 19 13 23 n(A∩B) = Answer: 9 n(U) = Answer: 37 SOLUTION 1 : n(A) = 19, n(B) = 13, n(AUB) = 23, n(A") = 18 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 23 = 19 + 13 - n(A∩B) 23 = 32 - n(A∩B) n(A∩B) = 32 - 23 n(A∩B) = 9 HInt n(U) = n(A) + n(A") n(U) = 19 + 18 n(U) = 37 |
| 2) If n(A) = 16,n(B) = 22,n(AUB) = 29, n(A') = 12, Find n(A∩B) and n(U). A B 16 22 29 n(A∩B) = Answer: 9 n(U) = Answer: 28 SOLUTION 1 : n(A) = 16, n(B) = 22, n(AUB) = 29, n(A") = 12 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 29 = 16 + 22 - n(A∩B) 29 = 38 - n(A∩B) n(A∩B) = 38 - 29 n(A∩B) = 9 HInt n(U) = n(A) + n(A") n(U) = 16 + 12 n(U) = 28 |
| 3) If n(A) = 24,n(B) = 12,n(AUB) = 29, n(A') = 18, Find n(A∩B) and n(U). A B 24 12 29 n(A∩B) = Answer: 7 n(U) = Answer: 42 SOLUTION 1 : n(A) = 24, n(B) = 12, n(AUB) = 29, n(A") = 18 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 29 = 24 + 12 - n(A∩B) 29 = 36 - n(A∩B) n(A∩B) = 36 - 29 n(A∩B) = 7 HInt n(U) = n(A) + n(A") n(U) = 24 + 18 n(U) = 42 |
| 4) If n(A) = 22,n(B) = 11,n(AUB) = 25, n(A') = 12, Find n(A∩B) and n(U). A B 22 11 25 n(A∩B) = Answer: 8 n(U) = Answer: 34 SOLUTION 1 : n(A) = 22, n(B) = 11, n(AUB) = 25, n(A") = 12 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 25 = 22 + 11 - n(A∩B) 25 = 33 - n(A∩B) n(A∩B) = 33 - 25 n(A∩B) = 8 HInt n(U) = n(A) + n(A") n(U) = 22 + 12 n(U) = 34 |
| 5) If n(A) = 23,n(B) = 20,n(AUB) = 28, n(A') = 16, Find n(A∩B) and n(U). A B 23 20 28 n(A∩B) = Answer: 15 n(U) = Answer: 39 SOLUTION 1 : n(A) = 23, n(B) = 20, n(AUB) = 28, n(A") = 16 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 23 + 20 - n(A∩B) 28 = 43 - n(A∩B) n(A∩B) = 43 - 28 n(A∩B) = 15 HInt n(U) = n(A) + n(A") n(U) = 23 + 16 n(U) = 39 |
| 6) If n(A) = 15,n(B) = 17,n(AUB) = 25, n(A') = 14, Find n(A∩B) and n(U). A B 15 17 25 n(A∩B) = Answer: 7 n(U) = Answer: 29 SOLUTION 1 : n(A) = 15, n(B) = 17, n(AUB) = 25, n(A") = 14 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 25 = 15 + 17 - n(A∩B) 25 = 32 - n(A∩B) n(A∩B) = 32 - 25 n(A∩B) = 7 HInt n(U) = n(A) + n(A") n(U) = 15 + 14 n(U) = 29 |
| 7) If n(A) = 25,n(B) = 16,n(AUB) = 30, n(A') = 15, Find n(A∩B) and n(U). A B 25 16 30 n(A∩B) = Answer: 11 n(U) = Answer: 40 SOLUTION 1 : n(A) = 25, n(B) = 16, n(AUB) = 30, n(A") = 15 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 30 = 25 + 16 - n(A∩B) 30 = 41 - n(A∩B) n(A∩B) = 41 - 30 n(A∩B) = 11 HInt n(U) = n(A) + n(A") n(U) = 25 + 15 n(U) = 40 |
| 8) If n(A) = 15,n(B) = 24,n(AUB) = 24, n(A') = 17, Find n(A∩B) and n(U). A B 15 24 24 n(A∩B) = Answer: 15 n(U) = Answer: 32 SOLUTION 1 : n(A) = 15, n(B) = 24, n(AUB) = 24, n(A") = 17 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 24 = 15 + 24 - n(A∩B) 24 = 39 - n(A∩B) n(A∩B) = 39 - 24 n(A∩B) = 15 HInt n(U) = n(A) + n(A") n(U) = 15 + 17 n(U) = 32 |
| 9) If n(A) = 26,n(B) = 13,n(AUB) = 29, n(A') = 19, Find n(A∩B) and n(U). A B 26 13 29 n(A∩B) = Answer: 10 n(U) = Answer: 45 SOLUTION 1 : n(A) = 26, n(B) = 13, n(AUB) = 29, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 29 = 26 + 13 - n(A∩B) 29 = 39 - n(A∩B) n(A∩B) = 39 - 29 n(A∩B) = 10 HInt n(U) = n(A) + n(A") n(U) = 26 + 19 n(U) = 45 |
| 10) If n(A) = 22,n(B) = 10,n(AUB) = 22, n(A') = 16, Find n(A∩B) and n(U). A B 22 10 22 n(A∩B) = Answer: 10 n(U) = Answer: 38 SOLUTION 1 : n(A) = 22, n(B) = 10, n(AUB) = 22, n(A") = 16 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 22 = 22 + 10 - n(A∩B) 22 = 32 - n(A∩B) n(A∩B) = 32 - 22 n(A∩B) = 10 HInt n(U) = n(A) + n(A") n(U) = 22 + 16 n(U) = 38 |