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) = 16,n(AUB) = 28, n(A') = 13, Find n(A∩B) and n(U). A B 16 16 28 n(A∩B) = n(U) = Answer:_______________ |
| 2) If n(A) = 20,n(B) = 25,n(AUB) = 25, n(A') = 18, Find n(A∩B) and n(U). A B 20 25 25 n(A∩B) = n(U) = Answer:_______________ |
| 3) If n(A) = 24,n(B) = 13,n(AUB) = 27, n(A') = 10, Find n(A∩B) and n(U). A B 24 13 27 n(A∩B) = n(U) = Answer:_______________ |
| 4) If n(A) = 17,n(B) = 15,n(AUB) = 25, n(A') = 18, Find n(A∩B) and n(U). A B 17 15 25 n(A∩B) = n(U) = Answer:_______________ |
| 5) If n(A) = 22,n(B) = 22,n(AUB) = 20, n(A') = 15, Find n(A∩B) and n(U). A B 22 22 20 n(A∩B) = n(U) = Answer:_______________ |
| 6) If n(A) = 17,n(B) = 13,n(AUB) = 23, n(A') = 15, Find n(A∩B) and n(U). A B 17 13 23 n(A∩B) = n(U) = Answer:_______________ |
| 7) If n(A) = 22,n(B) = 24,n(AUB) = 23, n(A') = 11, Find n(A∩B) and n(U). A B 22 24 23 n(A∩B) = n(U) = Answer:_______________ |
| 8) If n(A) = 20,n(B) = 22,n(AUB) = 21, n(A') = 15, Find n(A∩B) and n(U). A B 20 22 21 n(A∩B) = n(U) = Answer:_______________ |
| 9) If n(A) = 23,n(B) = 17,n(AUB) = 30, n(A') = 16, Find n(A∩B) and n(U). A B 23 17 30 n(A∩B) = n(U) = Answer:_______________ |
| 10) If n(A) = 22,n(B) = 21,n(AUB) = 30, n(A') = 16, Find n(A∩B) and n(U). A B 22 21 30 n(A∩B) = n(U) = Answer:_______________ |
| 1) If n(A) = 16,n(B) = 16,n(AUB) = 28, n(A') = 13, Find n(A∩B) and n(U). A B 16 16 28 n(A∩B) = Answer: 4 n(U) = Answer: 29 SOLUTION 1 : n(A) = 16, n(B) = 16, n(AUB) = 28, n(A") = 13 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 16 + 16 - 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) = 16 + 13 n(U) = 29 |
| 2) If n(A) = 20,n(B) = 25,n(AUB) = 25, n(A') = 18, Find n(A∩B) and n(U). A B 20 25 25 n(A∩B) = Answer: 20 n(U) = Answer: 38 SOLUTION 1 : n(A) = 20, n(B) = 25, n(AUB) = 25, n(A") = 18 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 25 = 20 + 25 - n(A∩B) 25 = 45 - n(A∩B) n(A∩B) = 45 - 25 n(A∩B) = 20 HInt n(U) = n(A) + n(A") n(U) = 20 + 18 n(U) = 38 |
| 3) If n(A) = 24,n(B) = 13,n(AUB) = 27, n(A') = 10, Find n(A∩B) and n(U). A B 24 13 27 n(A∩B) = Answer: 10 n(U) = Answer: 34 SOLUTION 1 : n(A) = 24, n(B) = 13, n(AUB) = 27, n(A") = 10 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 27 = 24 + 13 - n(A∩B) 27 = 37 - n(A∩B) n(A∩B) = 37 - 27 n(A∩B) = 10 HInt n(U) = n(A) + n(A") n(U) = 24 + 10 n(U) = 34 |
| 4) If n(A) = 17,n(B) = 15,n(AUB) = 25, n(A') = 18, Find n(A∩B) and n(U). A B 17 15 25 n(A∩B) = Answer: 7 n(U) = Answer: 35 SOLUTION 1 : n(A) = 17, n(B) = 15, n(AUB) = 25, n(A") = 18 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 25 = 17 + 15 - 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) = 17 + 18 n(U) = 35 |
| 5) If n(A) = 22,n(B) = 22,n(AUB) = 20, n(A') = 15, Find n(A∩B) and n(U). A B 22 22 20 n(A∩B) = Answer: 24 n(U) = Answer: 37 SOLUTION 1 : n(A) = 22, n(B) = 22, n(AUB) = 20, n(A") = 15 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 20 = 22 + 22 - n(A∩B) 20 = 44 - n(A∩B) n(A∩B) = 44 - 20 n(A∩B) = 24 HInt n(U) = n(A) + n(A") n(U) = 22 + 15 n(U) = 37 |
| 6) If n(A) = 17,n(B) = 13,n(AUB) = 23, n(A') = 15, Find n(A∩B) and n(U). A B 17 13 23 n(A∩B) = Answer: 7 n(U) = Answer: 32 SOLUTION 1 : n(A) = 17, n(B) = 13, n(AUB) = 23, n(A") = 15 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 23 = 17 + 13 - n(A∩B) 23 = 30 - n(A∩B) n(A∩B) = 30 - 23 n(A∩B) = 7 HInt n(U) = n(A) + n(A") n(U) = 17 + 15 n(U) = 32 |
| 7) If n(A) = 22,n(B) = 24,n(AUB) = 23, n(A') = 11, Find n(A∩B) and n(U). A B 22 24 23 n(A∩B) = Answer: 23 n(U) = Answer: 33 SOLUTION 1 : n(A) = 22, n(B) = 24, n(AUB) = 23, n(A") = 11 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 + 11 n(U) = 33 |
| 8) If n(A) = 20,n(B) = 22,n(AUB) = 21, n(A') = 15, Find n(A∩B) and n(U). A B 20 22 21 n(A∩B) = Answer: 21 n(U) = Answer: 35 SOLUTION 1 : n(A) = 20, n(B) = 22, n(AUB) = 21, n(A") = 15 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 21 = 20 + 22 - n(A∩B) 21 = 42 - n(A∩B) n(A∩B) = 42 - 21 n(A∩B) = 21 HInt n(U) = n(A) + n(A") n(U) = 20 + 15 n(U) = 35 |
| 9) If n(A) = 23,n(B) = 17,n(AUB) = 30, n(A') = 16, Find n(A∩B) and n(U). A B 23 17 30 n(A∩B) = Answer: 10 n(U) = Answer: 39 SOLUTION 1 : n(A) = 23, n(B) = 17, n(AUB) = 30, n(A") = 16 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 30 = 23 + 17 - n(A∩B) 30 = 40 - n(A∩B) n(A∩B) = 40 - 30 n(A∩B) = 10 HInt n(U) = n(A) + n(A") n(U) = 23 + 16 n(U) = 39 |
| 10) If n(A) = 22,n(B) = 21,n(AUB) = 30, n(A') = 16, Find n(A∩B) and n(U). A B 22 21 30 n(A∩B) = Answer: 13 n(U) = Answer: 38 SOLUTION 1 : n(A) = 22, n(B) = 21, n(AUB) = 30, n(A") = 16 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 30 = 22 + 21 - n(A∩B) 30 = 43 - n(A∩B) n(A∩B) = 43 - 30 n(A∩B) = 13 HInt n(U) = n(A) + n(A") n(U) = 22 + 16 n(U) = 38 |