q: 10 men and 15 women together can complete a work in 7 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) 350 days
a: Stream of consciousness: 1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/7
15 women's 1 day work = (1/7 - 10/100) = 3/70
1 woman's 1 day work = 1/350
1 woman alone can complete the work in 350 days. The answer is (E).

question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 80,30 kmph
(B) 80,20 kmph
(C) 80,10 kmph
(D) 80,40 kmph
(E) 80,90 kmph
answer: Stream of consciousness: Speed downstream = 60 + 20 = 80 kmph
Speed upstream = 60 - 20 = 40 kmph The answer is (D).

q: In how many different ways can the letters of the word 'PREPTY' be arranged?
Options:
(A) 280
(B) 290
(C) 300
(D) 340
(E) 360
a: Stream of consciousness: Number of ways = 61/21 6X5X4X3X2X1 - 360 The answer is (E).

question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Options:
(A) 3 4/9 days
(B) 8 4/9 days
(C) 9 3/8 days
(D) 6 3/8 days
(E) none of these
answer: Stream of consciousness: 1/15 + 1/25 = 8/75
75/8 = 9 3/8 days The answer is (C).

q: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 14 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Options:
(A) 2,060
(B) 1,320
(C) 545
(D) 364
(E) 220
a: Stream of consciousness: 14*13*12/3*2*1 = 364 The answer is (D).

q: In how many different ways could couples be picked from 8 men and 5 women?
Options:
(A) 8
(B) 5
(C) 13
(D) 40
(E) 20
a:
Stream of consciousness: Number of mens = 8
Number of womens = 5
Different ways could couples be picked = 8c1 * 5c1 = 8 * 5 = 40 ways The answer is (D).