In a class, 3/5 of the students are girls and rest are boys. If 2/9 of the girls and 1/4 of the boys are absent, what part of the total number of students is present ?
Options:
(A) 17/25
(B) 18/49
(C) 23/30
(D) 23/36
(E) 29/36
Answer and stream of consciousness: (C)
Stream of consciousness: Girls = 3/5, boys are 2/5
Absentees are (2/9)*(3/5) + (1/4)*(2/5) = 7/30
Present Students are 23/30

Two trains are moving at 50 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) 7 1/2 sec
(B) 7 1/7 sec
(C) 7 2/2 sec
(D) 8 1/2 sec
(E) 7 1/9 sec
Answer and stream of consciousness: (D)
Stream of consciousness: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec

What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Options:
(A) 20
(B) 23
(C) 25
(D) 27
(E) 28
Answer and stream of consciousness: (B)
Stream of consciousness: (1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2

A 360 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 229
(B) 108
(C) 278
(D) 216
(E) 112
Answer and stream of consciousness:
(D)
Stream of consciousness: S = 360/6 * 18/5 = 216 kmph