q: A train 350 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 18 sec
(B) 20 sec
(C) 76 sec
(D) 15 sec
(E) 17 sec
a: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 350 * 2/35 = 20 sec The answer is (B).

question: In a division sum, the remainder is 8 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) 200
(B) 251
(C) 250
(D) 262
(E) 254
answer: Stream of consciousness: Diver = (8*3)+3 = 27
3* Quotient = 27
Quotient = 9
Dividend = (Divisor * Quotient) + Remainder
Dividend = (27 * 9) + 8 = 251 The answer is (B).

q: If x is an odd integer, which of the following is an odd integer?
Options:
(A) 2x
(B) 3x-1
(C) 5x+6
(D) x+x^2
(E) 6x-6
a: Stream of consciousness: Plug in an odd integer; in this case 3
(2*3) = 6 Even
(3*3)-1 = 8 Even
(5*3)+6 = 15 + 6 = 21 Odd
3+3^2 = 3 + 9 = 12 Even
(6*3)-6 = 18 - 6 = 12 Even The answer is (C).

question: There are 24 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Options:
(A) 39
(B) 40
(C) 51
(D) 58
(E) 63
answer: Stream of consciousness: {Total} = {M} + {N} - {Both}
{Total} = 24 + 28 - 12 = 40. The answer is (B).

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

q: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
Options:
(A) 22
(B) 77
(C) 12
(D) 41
(E) 76
a:
Stream of consciousness: (1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48
Remaining work = (1 - 7/48) = 41/48
Work done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48
Number of boys required = 41/48 * 41 = 41. The answer is (D).