question: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4 miles per hour and Train B runs at a rate of 6 miles per hour. If the track has a radius of 6 miles and the trains both start from Point S at the same time, how long, in hours, after the trains depart will they again meet at Point S?
Options:
(A) 3
(B) 6
(C) 9
(D) 18
(E) 22
answer: Stream of consciousness: The trains will travel the perimeter of the circle which is 12 miles. The relative speed of the trains is 2 miles per hour. Time taken to meet = 12/2 = 6 hours The answer is (B).

q: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 337
(B) 267
(C) 342
(D) 287
(E) 261
a: Stream of consciousness: 400*(90/100)*(95/100) = 342 The answer is (C).

question: Solve:-
555 x 555 x 555 + 555 x 555 x 555 = ?(555 x 555 - 555 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 1110
answer: Stream of consciousness: Given Exp. = (a3 + b3) = (a + b) = (555 + 555) = 1110(a2 - ab + b2) The answer is (E).

q: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 16, and 18 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
Options:
(A) 4/11
(B) 1/2
(C) 15/22
(D) 144/17
(E) 11/4
a: Stream of consciousness: P1 takes 12 hrs
Rate for P2P3 together = 1/16 + 1/18 = 17/144
Therefore they take 144/17
Ratio = 144/17 = The answer is (D).

question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
Options:
(A) 6/15
(B) 6/11
(C) 6/14
(D) 6/12
(E) 6/13
answer: Stream of consciousness: Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20
Part filled by C in 3 minutes = 3/10
Required ratio = 3/10 * 20/11 = 6/11 The answer is (B).

question: John left home and drove at the rate of 35 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?
Options:
(A) 235 miles.
(B) 245 miles.
(C) 255 miles.
(D) 265 miles.
(E) 275 miles.
answer:
Stream of consciousness: The total distance D traveled by John is given by
D = 35 * 2 + 3 * 55 = 235 miles. The answer is (A).