question: Find the value of y from (12)^3 x 6^4432 = y?
Options:
(A) 5618
(B) 5232
(C) 5889
(D) 5184
(E) 5132
answer: 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 (D).

q: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Options:
(A) 9268
(B) 9261
(C) 9262
(D) 9242
(E) 9266
a: Stream of consciousness: A = 8000(21/20)3 = 9261 The answer is (B).

question: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Options:
(A) 227
(B) 269
(C) 266
(D) 298
(E) 225
answer: Stream of consciousness: 1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/6
15 women's 1 day work = (1/6 - 10/100) = 1/15
1 woman's 1 day work = 1/225
1 woman alone can complete the work in 225 days. The answer is (E).

q: The length of each side of an equilateral triangle having an area of 43 cm2 is?
Options:
(A) 1/8
(B) 1/9
(C) 1/5
(D) 1/23
(E) 1/2
a: Stream of consciousness: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5 The answer is (C).

question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Options:
(A) 299
(B) 2767
(C) 120
(D) 287
(E) 261
answer: Stream of consciousness: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 3 gallonsVolume of whole = 3 * 40 = 120 gallons. The answer is (C).

question: Rs. 5000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/5:1/5:1/10?
Options:
(A) 1000
(B) 992
(C) 772
(D) 552
(E) 312
answer:
Stream of consciousness: 1/5:1/5:1/10 = 2:2:1
1/5*5000 = 1000
2000-1000 = 1000 The answer is (A).