q: If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 198
(B) 288
(C) 360
(D) 396
(E) 484
a: Stream of consciousness: I will go with C (pending elements to match is 2^2*3^2*10^1 = 360 The answer is (C).

question: A motorcyclist goes from Bombay to Pune, a distance of 256 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 hours after the first, and reaches Pune hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:5
(C) 1:4
(D) 1:1
(E) 5:8
answer: Stream of consciousness: T = 256/32 = 8 h
T = 8 - 3 = 5
Time Ratio = 8:5
Speed Ratio = 5:8 The answer is (E).

q: The price of a T.V. set worth Rs. 60000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Options:
(A) 22678
(B) 59000
(C) 26788
(D) 19000
(E) 26711
a: Stream of consciousness: Money paid in cash = Rs. 1000
Balance payment = (60000 - 1000) = Rs. 59000 The answer is (B).

question: K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 650?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
answer: Stream of consciousness: 650 = 2*222 + (22*9) + 4*2
K weight of 600 = 2 +9+2 = 13 The answer is (D).

q: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 410 m long?
Options:
(A) 33 Seconds
(B) 22 Seconds
(C) 41 Seconds
(D) 24 Seconds
(E) 29 Seconds
a: Stream of consciousness: Distance travelled = 140 + 410m = 550m
Speed = 60 * 5/8 = 50/3m
Time = 550 * 3/50 = 33 Seconds The answer is (A).

q: The length R of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
Options:
(A) Decreases by 19%
(B) Decreases by 25%
(C) Increases by 6%
(D) Increases by 19%
(E) Increases by 25%
a:
Stream of consciousness: Let the length R of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy
Now after the change Length = 85x, and width = 140 y. Area = 11900xy
% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence The answer is (D).