question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.9880. Find the share of B?
Options:
(A) 2880
(B) 3000
(C) 3018
(D) 3019
(E) 3012
answer: Stream of consciousness: 60*5:36*6:75*3
100: 72: 75
72/247 * 9880 = 2880 The answer is (A).

q: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:
Options:
(A) Rs. 3100
(B) Rs. 6240
(C) Rs. 6500
(D) Rs. 9600
(E) Rs. 8600
a: Stream of consciousness: To get Rs. 10, Investment is 96
To get Rs. 650, investment is (96/10)*650 = 6240 The answer is (B).

question: A 600 meter long train crosses a signal post in 60 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4 min
(B) 2 min
(C) 6 min
(D) 9 min
(E) 5 min
answer: Stream of consciousness: S = 600/60 = 10 mps
S = 3600/10 = 360 sec = 6 min The answer is (C).

q: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Options:
(A) 5/9
(B) 5/4
(C) 5/1
(D) 5/6
(E) 5/2
a: Stream of consciousness: P(at least one graduate) = 1 - P(no graduates)
(6 * 5 * 4)/(10 * 9 * 8) = 5/6 The answer is (D).

question: In 2005, 30 percent of the math department's 40 students were female, and in 2007, 40 percent of the math department's 65 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) 116%
(C) 136%
(D) 155%
(E) 160%
answer: Stream of consciousness: Female students in 2005 = 30% of 40 = 12
Female students in 2007 = 40% of 65 = 26
Percentage increase = [(26 - 12)/12] *100 % = 116% The answer is (B).

question: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 2 order of $150 ?
Options:
(A) $1
(B) $2
(C) $3
(D) $4
(E) $5
answer:
Stream of consciousness: Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$
Total cost involved for a 150$ shipment: 3+3 = 6$. Thus, for two such orders = 12$
The difference = 2$. The answer is (B).