question: A train 140 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 15 sec
(B) 16 sec
(C) 18 sec
(D) 11 sec
(E) 8 sec
answer: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 140 * 2/35 = 8 sec The answer is (E).

q: A no.when divided by 220 gives a remainder 43, what remainder will be obtainedby dividingthe same no.17?
Options:
(A) 5
(B) 6
(C) 9
(D) 11
(E) 15
a: Stream of consciousness: 221 + 43 = 264/17 = 9 (Remainder) The answer is (C).

question: Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
Options:
(A) 1
(B) 3
(C) 4
(D) 0
(E) 2
answer: Stream of consciousness: 4 points are possible in which 1 point is the incentre of the circle and other 3 are excentres The answer is (C).

q: If the length of an edge of cube P is twice the length of an edge of cube Q, what is the ratio of the volume of cube Q to the volume of cube P?
Options:
(A) 1/8
(B) 1/4
(C) 1/3
(D) 1/7
(E) 1/9
a: Stream of consciousness: The length of cube Q = 1;
The length of cube P = 2;
The ratio of the volume of cube Q to the volume of cube P = 1^3/2^3 = 1/8. The answer is (A).

question: The average of seven numbers is 22. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 25
(B) 27
(C) 29
(D) 32
(E) 55
answer: Stream of consciousness: The total of seven numbers = 7X22 = 154
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (154 - 99 ) = 55 The answer is (E).

question: Which of the following is equal to (x+2)!/x!?
Options:
(A) x-1
(B) 1+(1/x)
(C) 1
(D) x+1
(E) (x+1) (x+2)
answer:
Stream of consciousness: (x + 1)! = (x + 1) (x+2)* x!
(x + 1)!/x! = (x + 1)(x+2) The answer is (E).