q: In a division sum, the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:
Options:
(A) 72
(B) 76
(C) 100
(D) 113
(E) 112
a: Stream of consciousness: Diver = (5*3)+3 = 18
3* Quotient = 18
Quotient = 6
Dividend = (Divisor * Quotient) + Remainder
Dividend = (18* 6) + 5 = 113 The answer is (D).

question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22
(B) 71
(C) 54
(D) 77
(E) 99
answer: Stream of consciousness: S = 240/16 * 18/5 = 54 kmph The answer is (C).

q: A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 men?
Options:
(A) 1/14
(B) 1/7
(C) 3/7
(D) 2/7
(E) 1/2
a: Stream of consciousness: Total ways to choose 4 employees from 8 employees = 8C4
Two women = 5C2
Two Men = 3C2
P = (5C2 * 3C2)/8C2 = 3/7 hence The answer is (C).

question: There are 8 books in a shelf that consist of 3 paperback books and 5 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Options:
(A) 40
(B) 46
(C) 50
(D) 55
(E) 60
answer: Stream of consciousness: 8C3 [Select any four] -5C3 [Select all hard backs] = 46 The answer is (B).

q: A fair is coin is tossed repeatedly. If head appears on first four tosses then what is the probability of appearance of tail in the fifth toss?
Options:
(A) 2/3
(B) 1/2
(C) 1/8
(D) 1/0
(E) 1/6
a: Stream of consciousness: As the given coin is a fair coin, the probability of getting tail on the fifth toss is independent of the out comes in the previous 4 tosses. So probability = 1/2 The answer is (B).

q: How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 99
(C) 77
(D) 66
(E) 12
a:
Stream of consciousness: (60/100) * 50 (40/100) * 30
30 - 12 = 18ch 60% of 50 is greater than 40% of 30? The answer is (A).