question: The speed of a boat in still water is 60kmph and the speed of the current is 10kmph. Find the speed downstream and upstream?
Options:
(A) 40, 68 kmph
(B) 70, 50 kmph
(C) 90, 60 kmph
(D) 40, 60 kmph
(E) 20, 60 kmph
answer: Stream of consciousness: Speed downstream = 60 + 10 = 70 kmph
Speed upstream = 60 - 10 = 50 kmph The answer is (B).

q: The average of first four prime numbers greater than 10 is?
Options:
(A) 10
(B) 20
(C) 15
(D) 40
(E) 50
a: Stream of consciousness: 11 + 13 + 17 + 19 = 60/4 = 15 The answer is (C).

question: 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
answer: 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 will be the remainder when 17^200 is divided by 18
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
a: Stream of consciousness: 17^200 % 18
(17-18)^200 % 18
(-1)^200 % 18
1 % 18 = 1 The answer is (A).

question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Options:
(A) 125/127
(B) 127/125
(C) 125/126
(D) 126/125
(E) 126/127
answer: Stream of consciousness: Required probability = 1 - 1/126 = 125/126 The answer is (C).

question: A no.when divided by 281 gives a remainder 160, what remainder will be obtainedby dividingthe same no.21?
Options:
(A) 21
(B) 22
(C) 23
(D) 24
(E) 25
answer:
Stream of consciousness: 281 + 160 = 441/21 = 21 (Remainder) The answer is (A).