q: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 15 seconds. What is the length of the platform in meters?
Options:
(A) 240 meters
(B) 360 meters
(C) 300 meters
(D) 600 meters
(E) Cannot be determined
a: Stream of consciousness: Speed of the train in metres/sec = 72000/3600 = 20
Distance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform
Distance travelled by train to cross the man = 15 * 20 = 300 = Length of train
Length of platform = 600 - 300 = 300 The answer is (C).

question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Options:
(A) 6
(B) 3
(C) 4
(D) 9
(E) 2
answer: Stream of consciousness: D = 25 * 60 + 1500 = 3000 m
T = 3000/60 * 18/5 = 180 sec = 3 mins The answer is (B).

q: What is the maximum number of pieces of birthday cake of size 4" by 4" that can be cut from a cake 16" by 16"?
Options:
(A) 5
(B) 4
(C) 16
(D) 20
(E) 25
a: Stream of consciousness: The prompt is essentially asking for the maximum number of 4x 4 squares that can be cut from a larger 16 by 16 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 4 'pieces' each, we have (4)(4) = 16 total smaller squares (at maximum). The answer is (C).

question: In a class if 1 is absent the rest of them can be divided into 6 equal groups and if two are absent can be divided into 7 equal groups. Find the minimum number of students in the class
Options:
(A) 35
(B) 36
(C) 37
(D) 38
(E) 39
answer: Stream of consciousness: Multiple of 6 and 7 with difference 1 are 36 and 35
So the number of students in the class is 37 The answer is (C).

q: 252 can be expressed as a product of primes as :
Options:
(A) 2 x 2 x 3 x 3 x 7
(B) 2 x 2 x 2 x 3 x 7
(C) 3 x 3 x 3 x 3 x 7
(D) 2 x 3 x 3 x 3 x 7
(E) 2 x 3 x 7 x 3 x 2
a: Stream of consciousness: 252 = 2 x 2 x 3 x 3 x 7. The answer is (A).

q: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Options:
(A) 226
(B) 992 rs
(C) 665
(D) 771
(E) 211
a:
Stream of consciousness: (800*3*3)/100 = 72
920 + 72 = 992 The answer is (B).