Reasoning: T = 500/100 = 10 h
T = 10 - 4 = 6
Time Ratio = 10:6 = 5:3
Speed Ratio = 3:5
Ans: (C)
Question: A motorcyclist goes from Nagpur to Pune, a distance of 500 kms at an average of 100 kmph speed. Another man starts from Nagpur by car 3 Â½ hours after the first, and reaches Pune Â½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:7
(C) 3:5
(D) 1:5
(E) 1:1

Rationale: Place D and H first: 8 options for D, 7 options for H
We are left with 6 empty places. A, B and C must take first 3 places and F, G, Emust take the remaining three. A, B and C can be arranged in their places in 3! ways. The same for F, G, and E
Total = 8*7*3!*3! = 2*1008
The answer: (D)
Question: In how many different orders can the people Alice, Benjamin, Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of Alice, Benjamin, Charlene must be on the line before each of Frederick, Gale, and Elaine?
Options:
(A) 1,008
(B) 1,296
(C) 1,512
(D) 2*1008
(E) 2,268

Reasoning: 1 to 11 = 11 * 40 = 440
1 to 5 = 5 * 49 = 245
5 to 11 = 7 * 52 = 364
5th = 245 + 364 – 440 = 169
Ans: (E)
Question: The average of 11 results is 40, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
Options:
(A) 165
(B) 166
(C) 167
(D) 168
(E) 169

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: Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (34 - 18)/2 = 8 kmph
Ans: (D)
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 7 kmph
(B) 6 kmph
(C) 5 kmph
(D) 8 kmph
(E) 2 kmph

Reasoning: S = (90 + 200)/36 = 290/36 * 18/5 = 29
Ans: (A)

Question: A train 90 meters long completely crosses a 200 meters long bridge in 36 seconds. What is the speed of the train is?
Options:
(A) 29
(B) 40
(C) 25
(D) 66
(E) 09