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) = 17,n(B) = 23,n(AUB) = 26, n(A') = 12, Find n(A∩B) and n(U). A B 17 23 26 n(A∩B) = n(U) = Answer:_______________ |
| 2) If n(A) = 22,n(B) = 14,n(AUB) = 20, n(A') = 17, Find n(A∩B) and n(U). A B 22 14 20 n(A∩B) = n(U) = Answer:_______________ |
| 3) If n(A) = 20,n(B) = 23,n(AUB) = 27, n(A') = 17, Find n(A∩B) and n(U). A B 20 23 27 n(A∩B) = n(U) = Answer:_______________ |
| 4) If n(A) = 22,n(B) = 17,n(AUB) = 22, n(A') = 14, Find n(A∩B) and n(U). A B 22 17 22 n(A∩B) = n(U) = Answer:_______________ |
| 5) If n(A) = 22,n(B) = 21,n(AUB) = 26, n(A') = 14, Find n(A∩B) and n(U). A B 22 21 26 n(A∩B) = n(U) = Answer:_______________ |
| 6) If n(A) = 25,n(B) = 23,n(AUB) = 23, n(A') = 19, Find n(A∩B) and n(U). A B 25 23 23 n(A∩B) = n(U) = Answer:_______________ |
| 7) If n(A) = 23,n(B) = 22,n(AUB) = 28, n(A') = 10, Find n(A∩B) and n(U). A B 23 22 28 n(A∩B) = n(U) = Answer:_______________ |
| 8) If n(A) = 18,n(B) = 24,n(AUB) = 28, n(A') = 17, Find n(A∩B) and n(U). A B 18 24 28 n(A∩B) = n(U) = Answer:_______________ |
| 9) If n(A) = 22,n(B) = 25,n(AUB) = 24, n(A') = 18, Find n(A∩B) and n(U). A B 22 25 24 n(A∩B) = n(U) = Answer:_______________ |
| 10) If n(A) = 24,n(B) = 16,n(AUB) = 25, n(A') = 10, Find n(A∩B) and n(U). A B 24 16 25 n(A∩B) = n(U) = Answer:_______________ |
| 1) If n(A) = 17,n(B) = 23,n(AUB) = 26, n(A') = 12, Find n(A∩B) and n(U). A B 17 23 26 n(A∩B) = Answer: 14 n(U) = Answer: 29 SOLUTION 1 : n(A) = 17, n(B) = 23, n(AUB) = 26, n(A") = 12 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 26 = 17 + 23 - n(A∩B) 26 = 40 - n(A∩B) n(A∩B) = 40 - 26 n(A∩B) = 14 HInt n(U) = n(A) + n(A") n(U) = 17 + 12 n(U) = 29 |
| 2) If n(A) = 22,n(B) = 14,n(AUB) = 20, n(A') = 17, Find n(A∩B) and n(U). A B 22 14 20 n(A∩B) = Answer: 16 n(U) = Answer: 39 SOLUTION 1 : n(A) = 22, n(B) = 14, n(AUB) = 20, n(A") = 17 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 20 = 22 + 14 - n(A∩B) 20 = 36 - n(A∩B) n(A∩B) = 36 - 20 n(A∩B) = 16 HInt n(U) = n(A) + n(A") n(U) = 22 + 17 n(U) = 39 |
| 3) If n(A) = 20,n(B) = 23,n(AUB) = 27, n(A') = 17, Find n(A∩B) and n(U). A B 20 23 27 n(A∩B) = Answer: 16 n(U) = Answer: 37 SOLUTION 1 : n(A) = 20, n(B) = 23, n(AUB) = 27, n(A") = 17 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 27 = 20 + 23 - n(A∩B) 27 = 43 - n(A∩B) n(A∩B) = 43 - 27 n(A∩B) = 16 HInt n(U) = n(A) + n(A") n(U) = 20 + 17 n(U) = 37 |
| 4) If n(A) = 22,n(B) = 17,n(AUB) = 22, n(A') = 14, Find n(A∩B) and n(U). A B 22 17 22 n(A∩B) = Answer: 17 n(U) = Answer: 36 SOLUTION 1 : n(A) = 22, n(B) = 17, n(AUB) = 22, n(A") = 14 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 22 = 22 + 17 - n(A∩B) 22 = 39 - n(A∩B) n(A∩B) = 39 - 22 n(A∩B) = 17 HInt n(U) = n(A) + n(A") n(U) = 22 + 14 n(U) = 36 |
| 5) If n(A) = 22,n(B) = 21,n(AUB) = 26, n(A') = 14, Find n(A∩B) and n(U). A B 22 21 26 n(A∩B) = Answer: 17 n(U) = Answer: 36 SOLUTION 1 : n(A) = 22, n(B) = 21, n(AUB) = 26, n(A") = 14 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 26 = 22 + 21 - n(A∩B) 26 = 43 - n(A∩B) n(A∩B) = 43 - 26 n(A∩B) = 17 HInt n(U) = n(A) + n(A") n(U) = 22 + 14 n(U) = 36 |
| 6) If n(A) = 25,n(B) = 23,n(AUB) = 23, n(A') = 19, Find n(A∩B) and n(U). A B 25 23 23 n(A∩B) = Answer: 25 n(U) = Answer: 44 SOLUTION 1 : n(A) = 25, n(B) = 23, n(AUB) = 23, n(A") = 19 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 23 = 25 + 23 - n(A∩B) 23 = 48 - n(A∩B) n(A∩B) = 48 - 23 n(A∩B) = 25 HInt n(U) = n(A) + n(A") n(U) = 25 + 19 n(U) = 44 |
| 7) If n(A) = 23,n(B) = 22,n(AUB) = 28, n(A') = 10, Find n(A∩B) and n(U). A B 23 22 28 n(A∩B) = Answer: 17 n(U) = Answer: 33 SOLUTION 1 : n(A) = 23, n(B) = 22, n(AUB) = 28, n(A") = 10 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 23 + 22 - n(A∩B) 28 = 45 - n(A∩B) n(A∩B) = 45 - 28 n(A∩B) = 17 HInt n(U) = n(A) + n(A") n(U) = 23 + 10 n(U) = 33 |
| 8) If n(A) = 18,n(B) = 24,n(AUB) = 28, n(A') = 17, Find n(A∩B) and n(U). A B 18 24 28 n(A∩B) = Answer: 14 n(U) = Answer: 35 SOLUTION 1 : n(A) = 18, n(B) = 24, n(AUB) = 28, n(A") = 17 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 28 = 18 + 24 - 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) = 18 + 17 n(U) = 35 |
| 9) If n(A) = 22,n(B) = 25,n(AUB) = 24, n(A') = 18, Find n(A∩B) and n(U). A B 22 25 24 n(A∩B) = Answer: 23 n(U) = Answer: 40 SOLUTION 1 : n(A) = 22, n(B) = 25, n(AUB) = 24, n(A") = 18 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 24 = 22 + 25 - n(A∩B) 24 = 47 - n(A∩B) n(A∩B) = 47 - 24 n(A∩B) = 23 HInt n(U) = n(A) + n(A") n(U) = 22 + 18 n(U) = 40 |
| 10) If n(A) = 24,n(B) = 16,n(AUB) = 25, n(A') = 10, Find n(A∩B) and n(U). A B 24 16 25 n(A∩B) = Answer: 15 n(U) = Answer: 34 SOLUTION 1 : n(A) = 24, n(B) = 16, n(AUB) = 25, n(A") = 10 n(A∩B) = n(AUB) = n(A) + n(B) - n(A∩B) 25 = 24 + 16 - n(A∩B) 25 = 40 - n(A∩B) n(A∩B) = 40 - 25 n(A∩B) = 15 HInt n(U) = n(A) + n(A") n(U) = 24 + 10 n(U) = 34 |