q: A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?
Options:
(A) 5/5
(B) 5/9
(C) 5/1
(D) 1/3
(E) 5/2
a: OK... Total number of outcomes possible when a die is rolled, n(S) = 6 ( 1 or 2 or 3 or 4 or 5 or 6)
E = Event that the number shown in the dice is divisible by 3 = {3, 6}
The probability = 2/6 = 1/3.
The answer is (D).

q: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a green shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line?
Options:
(A) 18
(B) 22
(C) 42
(D) 41
(E) 74
a: OK... The correct answer should not take the form: 4x + 2. Hence, it is
The answer is (D).

q: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 20 seconds. What is the length of the platform in meters?
Options:
(A) 200 meters
(B) 360 meters
(C) 420 meters
(D) 600 meters
(E) Cannot be determined
a:
OK... Speed of the train in metres/sec = 72000/3600 = 20
Distance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform
Distance travelled by train to cross the man = 20 * 20 = 400 = Length of train
Length of platform = 600 - 400 = 200
The answer is (A).