question: A person deposits 1/16 of his income as Provident Fund and 1/15 of the remaining as insurance premium. If he spends 5/7 of the balance on domestic needs and deposits an amount of Rs. 50 in the bank, his total income would be
Options:
(A) 150
(B) 200
(C) 250
(D) 300
(E) 350
answer: Stream of consciousness: (1-(1/16))(1-(1/15))(1-(5/7)) of Income = 50
Hence income = 200 The answer is (B).

q: 5,9,18,30,50,__
Options:
(A) 79
(B) 80
(C) 81
(D) 82
(E) 83
a: Stream of consciousness: (9+5) +4 = 18
(16+9) +5 = 30
(28+16)+6 = 50
(48+28)+7 = 83 The answer is (E).

question: John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination. How many miles did John drive?
Options:
(A) 235 miles.
(B) 245 miles.
(C) 225 miles.
(D) 265 miles.
(E) 275 miles.
answer: Stream of consciousness: The total distance D traveled by John is given by
D = 45 * 2 + 3 * 45 = 225 miles. The answer is (C).

q: Antony, Ben, and Charles each try independently to win a carnival game. If their individual probabilities for success are 2/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
Options:
(A) 3/140
(B) 1/280
(C) 3/280
(D) 3/35
(E) 68/280
a: Stream of consciousness: P = P(A wins, B wins, C loses) + P(A wins, B loses, C wins) + P(A loses, B wins, C wins) = 2/5*3/8*5/7 + 2/5*5/8*2/7 + 3/5*3/8*2/7 = 68/280. The answer is (E).

question: In 2005, 25 percent of the math department's 40 students were female, and in 2007, 40 percent of the math department's 85 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Options:
(A) 15%
(B) 50%
(C) 62.5%
(D) 115%
(E) 240%
answer: Stream of consciousness: Female students in 2005 = 25% of 40 = 10
Female students in 2007 = 40% of 85 = 34
Percentage increase = [(34- 10)/10] *100 % = 240% The answer is (E).

question: The speed of a boat in still water is 60kmph and the speed of the current is 40kmph. Find the speed downstream and upstream?
Options:
(A) kmph
(B) kmph
(C) kmph
(D) kmph
(E) kmph
answer:
Stream of consciousness: Speed downstream = 60 +40 = 100 kmph
Speed upstream = 60 - 40 = 20 kmph The answer is (D).