question: From among the 38 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Options:
(A) 1360
(B) 1260
(C) 1060
(D) 1160
(E) 1406
answer: Stream of consciousness: There are 38 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 38 ways. When one person is appointed as leader, we are left with 35 students. Out of these 37 teachers, we can select one class representative. So, a class representative can be selected in 37 ways. Hence, the number of ways in which a leader and class representative can be selected = 38 x 37 = 1406 The answer is (E).

q: At what rate percent on simple interest will a sum of money double itself in 30 years?
Options:
(A) 3 1/9%
(B) 3 7/3%
(C) 7 1/3%
(D) 5 1/3%
(E) 1 1/3%
a: Stream of consciousness: P = (P*30*R)/100
R = 3 1/3% The answer is (A).

question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K 4 and 5K + 1 is 63, what is the value of K?
Options:
(A) 22 10/11
(B) 15 3/4
(C) 22
(D) 23
(E) 25 3/10
answer: Stream of consciousness: K + 2K +3 + 3K - 4 + 5K +1 = 11K
(11K -1)/4 = 63
11K = 63 * 4 = 252
K = 252 / 11 = 22 10/11 The answer is (A).

q: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 2
(B) 3
(C) 4
(D) 1
(E) 8
a: Stream of consciousness: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min The answer is (C).

question: A train running at the speed of 30 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
(A) 75
(B) 65
(C) 25
(D) 288
(E) 212
answer: Stream of consciousness: Speed = 30*(5/18) m/sec = 25/3 m/sec
Length of Train (Distance) = Speed * Time
(25/3) * 9 = 75 meter The answer is (A).

question: 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 red 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) 17
(B) 37
(C) 49
(D) 61
(E) 72
answer:
Stream of consciousness: The correct answer should not take the form: 4x + 1. Hence, it is The answer is (E).