question: A rat is placed at the beginning of a maze and must make it to the end. There are four paths at the start that he has an equal chance of taking: path A takes 5 minutes and leads to the end, path B takes 8 minutes and leads to the start, path C takes 3 minutes and leads to the end, and path D takes 2 minutes and leads to the start.
What is the expected amount of time it will take for the rat to finish the maze?
Options:
(A) 5min
(B) 6min
(C) 7min
(D) 8min
(E) 9min
answer: Stream of consciousness: Each path has an equal chance of occurring and if B or D are chosen they will just add 8 or 2 minutes to the time because the rat must restart the maze: time = (1/4)*5 + (1/4)*(8 + time) + (1/4)*(3) + (1/4)*(2 + time). Time = 9 minutes. The answer is (E).

q: Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 8765
(B) 8907
(C) 9944
(D) 9954
(E) 9990
a: Stream of consciousness: Largest 4 digit number is 9999
After doing 9999 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944 The answer is (C).

question: Find the least number must be added to 433124 so that remaining no.is divisible by 17?
Options:
(A) 3
(B) 2
(C) 5
(D) 6
(E) 1
answer: Stream of consciousness: On dividing 433124 by 17 we get the remainder 15, so 2 should be added The answer is (B).

q: In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
Options:
(A) 1680
(B) 1800
(C) 2000
(D) 2100
(E) 2300
a: Stream of consciousness: 8p4 = 8 7 6 x 5 = 1680 The answer is (A).

question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 7 1/7 sec
(B) 7 7/2 sec
(C) 7 1/8 sec
(D) 7 1/2 sec
(E) 7 3/2 sec
answer: Stream of consciousness: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec The answer is (D).

question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Options:
(A) 1/8
(B) 1/3
(C) 1/6
(D) 1/2
(E) 5/3
answer:
Stream of consciousness: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6. The answer is (C).