A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Options:
(A) 18 sec
(B) 77 sec
(C) 48 sec
(D) 28 sec
(E) 12 sec

D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 se So the answer is: (C).

An equity analyst needs to select 5 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 10, in how many ways can she choose and rank her top 5 picks?
Options:
(A) 21548
(B) 31502
(C) 21250
(D) 30240
(E) 84045

Number of ways of choosing 5 stocks = 10C5
Number of ways of ranking the chosen stocks = 5!
Hence total ways of chosing and ranking = 10C5 * 5! = 30240 So the answer is: (D).

Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 54% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Options:
(A) 60%
(B) 50%
(C) 25%
(D) 19%
(E) 10%

{Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 54 - {both} + 40
{both} = 19%. So the answer is: (D).

A train 140 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 18 sec
(B) 6 sec
(C) 8 sec
(D) 15 sec
(E) 7 sec
Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 140 * 2/35 = 8 se So the answer is: (C).