Rationale: Work done by X in 1 day = 1/21
Work done by Y in 1 day = 1/15
Work done by Y in 5 days = 5/15 = 1/3
Remaining work = 1 – 1/3 = 2/3
Number of days in which X can finish the remaining work = (2/3) / (1/21) = 14
The answer: (D)
Question: X can finish a work in 21 days. Y can finish the same work in 15 days. Y worked for 5 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 12
(B) 13
(C) 16
(D) 14
(E) 18
Reasoning: 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
Ans: (B)
Question: 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
Rationale: On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted
The answer: (B)
Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Options:
(A) 2
(B) 3
(C) 5
(D) 7
(E) 8
Reasoning: Let the time taken to reach the destination be 3x hours. Total distance = 40 * 3x = 120x km
He covered 2/3 * 120x = 80x km in 1/3 * 3x = x hours So, the remaining 40x km, he has to cover in 2x hours. Required speed = 40x/2x = 20 kmph.
Ans: (A)
Question: By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Options:
(A) 20
(B) 99
(C) 88
(D) 77
(E) 61
Rationale: 10 * 162 = 1620
3 * 100 + 5 * 150 = 1050
1620 – 1050 = 570
The answer: (D)
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.162. Find the unknown rate of two blankets?
Options:
(A) 420
(B) 550
(C) 490
(D) 570
(E) 457
Rationale: ? = 285 + 1895 – 655 – 845 or, ? = 680
The answer: (C)

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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Question: What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 657.48 = 843.095 + ?
Options:
(A) 870
(B) 790
(C) 680
(D) 770
(E) 890