When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land once on heads and twice tails?
Options:
(A) 1/3
(B) 1/6
(C) 1/4
(D) 1/8
(E) 1/5
Answer and stream of consciousness: (D)
Stream of consciousness: Must be once on heads and twice on tails
1/2*1/2*1/2 = 1/8

Express a speed of 720 kmph in meters per second?
Options:
(A) 120 mps
(B) 200 mps
(C) 181 mps
(D) 190 mps
(E) 125 mps
Answer and stream of consciousness: (B)
Stream of consciousness: 720 * 5/18 = 200 mps

A 160 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?
Options:
(A) 48 kmph
(B) 54 kmph
(C) 92 kmph
(D) 86 kmph
(E) 76 kmph
Answer and stream of consciousness: (A)
Stream of consciousness: S = 160/12 * 18/5 = 48 kmph

Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Answer and stream of consciousness:
(A)
Stream of consciousness: Answer: A. There is exactly one. The prime factorization of 14 is 14 = 2*7, so N = 2*7*p = 7*2*p = 7*2p, so 2p is the only even number that divides N.