A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 hours after the first, and reaches Pune hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:5
(C) 1:4
(D) 1:1
(E) 1:8

T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2 So the answer is: (A).

Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o'clock the faster train is 30 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 60 miles
(B) 80 miles
(C) 90 miles
(D) 120 miles
(E) 400 miles

Answer = A. 60 miles
Relational speed = 130 - 100 = 30 miles per hour
In 3 hours, difference = 30 * 3 = 90 miles
Fast train trailing 30 miles, so effective difference = 90 - 30 = 60 miles So the answer is: (A).

If x is an odd integer, which of the following is an even integer?
Options:
(A) 2x-x
(B) x+1
(C) 2x+3
(D) x^3
(E) 3x+2x

Plug in an odd integer; in this case 3
(2*3)-3 = 3 Odd
3+1 = 4 Even
(2*3)+3 = 9 Odd
3^3 = 27 Odd
(3*3)+(2*3) = 9 + 6 = 15 Odd So the answer is: (B).

Which is odd one
10, 25, 45, 54, 60, 75, 80
Options:
(A) 10
(B) 45
(C) 54
(D) 60
(E) 75
All numbers except 54 is multiple of 5. So the answer is: (C).