Question: The average of five numbers is 41. The average of first two numbers is 32 and the average of last two numbers is 38. What is the middle number?
Options:
(A) 59
(B) 64
(C) 61
(D) 72
(E) 65 Let's think first. Some random reasoning:
The total of five numbers = 5X41 = 205
The total of first 2 and last 2 numbers is = 2 X 32+2 X 38 = 140
So, the middle number is (205 - 140 ) = 65 The final answer: (E).