Rationale: 1: 2/5 = 5: 2
2/7 * 21 = 6
The answer: (B)
Question: A 21 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 12
(B) 6
(C) 88
(D) 77
(E) 14
Reasoning: Diver = (8*3)+3 = 27
3* Quotient = 27
Quotient = 9
Dividend = (Divisor * Quotient) + Remainder
Dividend = (27 * 9) + 8 = 251
Ans: (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
Rationale: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m
The answer: (B)
Question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
(A) 120 m
(B) 200 m
(C) 115 m
(D) 110 m
(E) 150 m
Reasoning: 2/3 * 6/7 * 1/3 * 1/9 = 12/567 = 4/189
Ans: (C)
Question: The compound ratio of 2/3, 6/7, 1/3 and 1/9 is given by?
Options:
(A) 7/98
(B) 1/48
(C) 4/189
(D) 1/96
(E) 1/68
Rationale: D = 25 * 60 + 1200 = 2700 m
T = 2700/60 * 18/5 = 162 se
The answer: (C)
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.2 km long?
Options:
(A) 2 mins 14 sec
(B) 2 mins 34 sec
(C) 162 sec
(D) 244 sec
(E) 2 mins 44 sec
Rationale: The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 10/100 = 1/10
Three are independent;probability of rich and fair complexioned girl is:
(1/4) Ã—(1/5) Ã— (1/10) = 1/200
The answer: (A)

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: A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 10 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 1/200
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53