q: A train of 25 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) 2 mins 14 sec
(B) 2 mins 34 sec
(C) 180 sec
(D) 4 mins 54 sec
(E) 2 mins 44 sec
a: Stream of consciousness: D = 25 * 60 + 1500 = 3000 m
T = 3000/60 * 18/5 = 180 se The answer is (C).

question: Find the least number must be subtracted from 378461 so that remaining no.is divisible by 13?
Options:
(A) 4
(B) 5
(C) 7
(D) 6
(E) 8
answer: Stream of consciousness: On dividing 378461 by 13 we get the remainder 5, so 5 should be subtracted The answer is (B).

q: Sumitra has an average of 56% on her first 7 examinations. How much should she make on her eighth examination to obtain an average of 60% on 8 examinations?
Options:
(A) 88%
(B) 78%
(C) 98%
(D) Cannot be determined
(E) None of these
a: Stream of consciousness: Since the weight age of eighth examination is not known, hence can not be determine The answer is (D).

question: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 3446
(B) 2345
(C) 5467
(D) 4767
(E) 5184
answer: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).

q: If x<0, y>0, and |x| < |y|, which of the following must be true?
Options:
(A) x > y
(B) y^2 > x^2
(C) x^3 > y^2
(D) x < y
(E) x < y
a: Stream of consciousness: Correct Answer: (E)
Let's go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn't have to be true consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as |x|, and |x| > y. (E) can be manipulated by multiplying both sides by -1, which gives us x > y. Remember that x < 0, so x = |x|, and y is positive, so |y| = y. Thus x < y is the same statement as |x| > |y|, and (D) must be true. The answer is (D).

q: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
a:
Stream of consciousness: (1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2 The answer is (B).