Q: A 125 meter long train crosses a man standing on the platform in 5 sec. What is the speed of the train?
Options:
(A) 229
(B) 108
(C) 278
(D) 126
(E) 90
A: OK... Stream of consciousness: S = 125/5 * 18/5 = 90 kmph
The answer is (E).

Q: A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible?
Options:
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
A: OK... Stream of consciousness: Mother has a fixed place and father, so there are 2! ways to arrange the children, hence
The answer is (A).

Q: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K 5 and 5K + 1 is 30, what is the value of K?
Options:
(A) 11
(B) 15 3/4
(C) 22
(D) 23
(E) 25 3/10
A: OK... Stream of consciousness: K + 2K +3 + 3K - 5 + 5K +1 = 11K -1
(11K -1)/4 = 30
11K = 30 * 4 +1 = 120 +1 = 121
K = 121 / 11 = 11.
The answer is (A).

Q: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 16. What is the middle number?
Options:
(A) 27
(B) 29
(C) 36
(D) 34
(E) 35
A:
OK... Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 16 = 90
So, the middle number is (126 - 90 ) = 36
The answer is (C).