question: Find the third proportional to 9 and 12?
Options:
(A) 10
(B) 12
(C) 16
(D) 19
(E) 20
answer: Stream of consciousness: Formula = Third proportional = (b b)/a
A = 9 and B = 12
(12 12)/ 9 = 144/9 = 16 The answer is (C).

q: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 2356
(B) 3465
(C) 4232
(D) 4225
(E) 5184
a: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).

question: The sale price sarees listed for Rs.400 after successive discount is 15% and 5% is?
Options:
(A) 338
(B) 323
(C) 342
(D) 882
(E) 212
answer: Stream of consciousness: 400*(85/100)*(95/100) = 323 The answer is (B).

q: Calculate the largest 5 digit number which is exactly divisible by 77?
Options:
(A) 99111
(B) 99946
(C) 99869
(D) 99792
(E) 99654
a: Stream of consciousness: Largest 4 digit number is 99999
After doing 99999 77 we get remainder 53
Hence largest 5 digit number exactly divisible by 77 = 99999 - 53 = 99946 The answer is (B).

question: A shipment of 8 TV sets contains 1 black and white sets and 7 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?
Options:
(A) 1/7
(B) 1/4
(C) 5/14
(D) 11/28
(E) 13/28
answer: Stream of consciousness: 7/8 * 6/7 = 3/4
1-(3/4) = 1/4 The answer is (B).

question: For some integer p, p^2 - 5 is divisible by all of the following EXCEPT
Options:
(A) 30
(B) 38
(C) 41
(D) 29
(E) 31
answer:
Stream of consciousness: Hint: p^2-5 (p is an integer) is never multiple of 3 (try to prove this), hence 30 is out. The answer is (A).