q: If A takes x days to do a work then B takes 2x days to do the same work then with in how many day's A will alone complete this work ?
Options:
(A) 27
(B) 23
(C) 24
(D) 25
(E) 26
a: Stream of consciousness: 1/x+1/2x = 1/18 = > 3/2x = 1/18 = > x = 27 days. Hence, A alone can finish the work in 27 days. The answer is (A).

question: If a number is chosen at random from the set {1, 2, 3, 100}, then the probability that the chosen number is a perfect cube is
Options:
(A) 1/25
(B) 1/2
(C) 4/13
(D) 1/10
(E) 3/10
answer: Stream of consciousness: We have 1, 8, 27 and 64 as perfect cubes from 1 to 100. Thus, the probability of picking a perfect cube is 4/100 = 1/25 The answer is (A).

q: 30 pens and 75 pencils were purchased for 510. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
a: Stream of consciousness: Since average price of a pencil = 2
Price of 75 pencils = 150
Price of 30 pens = (510 150) = 360
Average price of a pen = 36060 = 12 The answer is (C).

question: The average mark obtained by 22 candidates in an examination is 46. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Options:
(A) 22
(B) 0
(C) 19
(D) 18
(E) 16
answer: Stream of consciousness: It is clear that 22 x 46 = 10 x 55 + K + 11 x 40 K = 22 The answer is (A).

q: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Options:
(A) 338
(B) 277
(C) 350
(D) 881
(E) 271
a: Stream of consciousness: D = 72 * 5/18 = 25 = 500 150 = 350 The answer is (C).

q: A train 600 meters long is running with a speed of 50 kmph. The time taken by it to cross a tunnel 170 meters long is?
Options:
(A) 287 sec
(B) 288 sec
(C) 55 sec
(D) 16 sec
(E) 17 sec
a:
Stream of consciousness: D = 600 + 170 = 770
S = 50 * 5/18 = 14 mps
T = 770/14 = 55 se The answer is (C).