q: Which one of the following is not a prime number?
Options:
(A) 31
(B) 61
(C) 71
(D) 73
(E) 91
a: Stream of consciousness: 91 is divisible by 7. So, it is not a prime number. The answer is (D).

question: A 180 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?
Options:
(A) 72
(B) 108
(C) 1266
(D) 188
(E) 211
answer: Stream of consciousness: S = 180/9 * 18/5 = 72 kmph The answer is (A).

q: Efrida and Frazer who live 10 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is three miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?
Options:
(A) 6
(B) 7
(C) 8
(D) 10
(E) 11
a: Stream of consciousness: It's a simple geometry problem. Look at the diagram below: The answer is (B).

question: What is the are of an equilateral triangle of side 2 cm?
Options:
(A) 3
(B) 649
(C) 644
(D) 643
(E) 642
answer: Stream of consciousness: Area of an equilateral triangle = 3/4 S2
If S = 2, Area of triangle = 3/4 * 2 * 2 = 3 cm2; The answer is (A).

q: The edge of a cube is 2a cm. Find its surface?
Options:
(A) 23a2 cm2
(B) 84a2 cm2
(C) 64a2 cm2
(D) 24a2 cm2
(E) 14a2 cm2
a: Stream of consciousness: 6a2 = 6 * 2a * 2a = 24a2 The answer is (D).

q: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 hours after the first, and reaches Pune hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:9
(C) 1:1
(D) 1:9
(E) 3:2
a:
Stream of consciousness: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2 The answer is (A).