question: 10 men and 15 women together can complete a work in 8 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) 127 days
(B) 667 days
(C) 177 days
(D) 187 days
(E) 600 days
answer: Stream of consciousness: 1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/8
15 women's 1 day work = (1/8 - 10/100) = 1/40
1 woman's 1 day work = 1/600
1 woman alone can complete the work in 600 days. The answer is (E).

q: How many positive integers less than 60 have a reminder 01 when divided by 4?
Options:
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
a: Stream of consciousness: 1 also gives the remainder of 1 when divided by 4. So, there are total of 15 numbers. The answer is (C).

question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K 5 and 5K + 1 is 96, what is the value of K?
Options:
(A) 11
(B) 15 3/4
(C) 22
(D) 35
(E) 25 3/10
answer: Stream of consciousness: K + 2K +3 + 3K - 5 + 5K +1 = 11K -1
(11K -1)/4 = 96
11K = 96 * 4 +1 = 384 +1 = 385
K = 385 / 11 = 35. The answer is (D).

q: The average of 11 results is 48, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 21
(B) 56
(C) 78
(D) 25
(E) 23
a: Stream of consciousness: 1 to 11 = 11 * 48 = 528
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 528 = 78 The answer is (C).

question: Find a a prime number the options below.
Options:
(A) 78
(B) 80
(C) 81
(D) 82
(E) 83
answer: Stream of consciousness: Clearly, 83 is a prime number. The answer is (E).

question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Options:
(A) 338
(B) 277
(C) 350
(D) 881
(E) 271
answer:
Stream of consciousness: D = 72 * 5/18 = 25 = 500 150 = 350 The answer is (C).