q: If x and y are unique prime integers, which of the following must be even?
Options:
(A) xy
(B) x2y
(C) 2x2y
(D) 2xy
(E) xy^2
a: Stream of consciousness: Any number multiplied by 2 has to be an even number The answer is (C).

question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Options:
(A) 150
(B) 78
(C) 268
(D) 268
(E) 298
answer: Stream of consciousness: Length of the train be 'X'
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m ] The answer is (A).

q: You are riding a horse. In front of you, there is a fire engine. A helicopter is following you. To your left a sports car is driving. To your right there is a depth.How can you arrange that you will all stop simultaneously, without crashing and without mutual communication?
Options:
(A) helicopter man stop it
(B) you stop it
(C) man go to stop it.
(D) no idea
(E) data irrelevant
a: Stream of consciousness: You ask the man of the merry-go-round to stop it. The answer is (C).

question: Two trains are moving at 90 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) 42/5 sec
(B) 45/8 sec
(C) 40/6 sec
(D) 37/6 sec
(E) 42/4 sec
answer: Stream of consciousness: 70 + 90 = 150 * 5/18 = 400/9 mps
D = 150 + 100 = 250 m
T = 250 * 9/400 = 45/8 sec The answer is (B).

q: What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1?
Options:
(A) 1/9 sq units.
(B) 4/9 sq units.
(C) 8/9 sq units.
(D) 7/9 sq units.
(E) 6/9 sq units.
a: Stream of consciousness: Area will be 2/3 *4/3 = 8/9 sq units. The answer is (C).

q: Rectangular tile each of size 25cm by 65cm must be laid horizontally on a rectangular floor of size 150cm by 390cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
Options:
(A) 50
(B) 40
(C) 25
(D) 36
(E) 45
a:
Stream of consciousness: Area of tile = 25*65 = 1625
Area of floor = 150*390 = 58500
No of tiles = 58500/1625 = 36
So, the no of tile = 36 The answer is (D).