30 pens and 75 pencils were purchased for 450. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14

Since average price of a pencil = 2
Price of 75 pencils = 150
Price of 30 pens = (450 150) = 300
Average price of a pen = 36060 = 10 So the answer is: (A).

Two trains are moving at 80 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 6 sec
(B) 7 sec
(C) 7 2/2 sec
(D) 8 sec
(E) 9 sec

70 + 80 = 150 * 5/18 = 125/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/125 = 6 sec So the answer is: (A).

Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 8560
(B) 8950
(C) 9944
(D) 10000
(E) 10200

Largest 4 digit number is 9999
After doing 9999 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944 So the answer is: (C).

If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?
Options:
(A) 186
(B) 188
(C) 810
(D) 167
(E) 861
12 men 120 acres 36 days
54 men ? 54 days
120 * 54/12 * 54/36
10 * 54 * 3/2
54 * 15 = 810 So the answer is: (C).