question: Which among the following is the greatest?
Options:
(A) 2^3^2
(B) 2^2^3
(C) 3^2^3
(D) 3^3^3
(E) 5^3^3
answer: Stream of consciousness: 2^3^2 = 29
2^2^3 = 28
3^2^3 = 38
3^3^3 = 327
As 327 > 38, 29 > 28 and 327 > 29. Hence 327 is the greatest among the four. The answer is (D).

q: There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?
Options:
(A) 5
(B) 7
(C) 11
(D) 13
(E) 15
a: Stream of consciousness: (385/1001) = 5/13 First Number is 5 The answer is (A).

question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 50 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220050
answer: Stream of consciousness: (555 + 445) * 2 * 110 + 50 = 220000 + 50 = 220050 The answer is (E).

q: There are 15 balls in a jar. You take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/3. How many blue balls were there in the beginning?
Options:
(A) 12.
(B) 9.
(C) 8.
(D) 7.
(E) 6.
a: Stream of consciousness: 7 = 3 blue balls + 12 / 3 The answer is (D).

question: Find the largest 7 digit number which is exactly divisible by 88?
Options:
(A) 9998765
(B) 9998907
(C) 9999944
(D) 9999954
(E) 9999968
answer: Stream of consciousness: Largest 7 digit number is 9999999
After doing 9999999 88 we get remainder 31
Hence largest 7 digit number exactly divisible by 88 = 9999999 - 31 = 9999968 The answer is (E).

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).