q: he speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Options:
(A) 25 kmph
(B) 15 kmph
(C) 17 kmph
(D) 95 kmph
(E) 14 kmph
a: Stream of consciousness: 90 * 10/60 = 15 kmph The answer is (B).

question: a, b, c, and d are positive integers where a is a factor of b and c is a factor of d. Which of the following is NOT necessarily an integer?
Options:
(A) (ac) /(bd)
(B) (bd) /(ac)
(C) (bcd) /a
(D) d/c + b/a
(E) (a + b) d/c
answer: Stream of consciousness: As per the question, let a = 2, b = 6, c = 5, and d = 10. Plugging these into the answer choices, only A does not yield an integer. The answer is (A).

q: 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
a: Stream of consciousness: 8C3 [Select any four] -5C3 [Select all hard backs] = 46 The answer is (B).

question: Which one of the following is the least number of four digits divisible by 71?
Options:
(A) 1006
(B) 1065
(C) 1094
(D) 1056
(E) 1057
answer: Stream of consciousness: 1000/71 = 14 6/71
1000 + 71 6 = 1065 The answer is (B).

q: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Options:
(A) 6 2/3%
(B) 6 2/9%
(C) 6 3/3%
(D) 9 2/3%
(E) 7 2/3%
a: Stream of consciousness: 4/9 P = (P*R*R)/100
R = 20/3 = 6 2/3% The answer is (A).

q: An enterprising businessman earns an income of Re 5 on the first day of his business. On every subsequent day, he earns an income which is just thrice of that made on the previous day. On the 10th day of business, he earns an income of:
Options:
(A) 21
(B) 22
(C) 20
(D) 45
(E) 30
a:
Stream of consciousness: 2nd day he earns = 3(2 5)
3rd day he earns = 3(3 5)
On 20th day he earns 3(20 -5) = 45 rupees The answer is (D).