q: An enterprising businessman earns an income of Re 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 20th day of business, he earns an income of:
Options:
(A) Rs 219
(B) Rs 220
(C) Rs 20
(D) Rs 20
(E) Rs 30
a: Stream of consciousness: 2nd day he earns = 2 = 2(2 1)
3rd day he earns = 2(3 1)
On 20th day he earns 2(20 -1) = 219 rupees The answer is (A).

question: In a class there are 60% of girls of which 25% poor. What is the probability that a poor girl is selected is leader?
Options:
(A) 22
(B) 15
(C) 77
(D) 17
(E) 11
answer: Stream of consciousness: Assume total students in the class = 100
Then Girls = 60% (100) = 60
Poor girls = 25% (60) = 15
So probability that a poor girls is selected leader = Poor girls / Total students = 15/100 = 15% The answer is (B).

q: A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
Options:
(A) 6 days
(B) 2 days
(C) 4 4/5 days
(D) 3 days
(E) 9 days
a: Stream of consciousness: Work done by A in 2 days = 2/10 = 1/5
Remaining work = 4/5
Work done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6
Remaining work = 4/5 * 6/1 = 24/5 = 4 4/5 days. The answer is (C).

question: in how many ways can six members be selected from a group of ten members?
Options:
(A) 10C6
(B) 10C4
(C) 10C9
(D) 10C2
(E) 10C1
answer: Stream of consciousness: Six members can be selected from ten members in
10C6 = 10C4 ways. The answer is (B).

q: During a sale, the price of a pair of shoes is marked down 10% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Options:
(A) 9%
(B) 10%
(C) 11%
(D) 15%
(E) 90%
a: Stream of consciousness: Assume the price = 100
Price during sale = 90
Price after sale = 100
Percent increase = 10/90*100 = 11% approx. The answer is (C).

q: Amanda sees a sale for 30% off all items, she sees a dress on sale that originally cost $50. How much will it cost Amanda to buy the dress after the sale amount of 30% has been take off?
Options:
(A) $40
(B) $35
(C) $50
(D) $65
(E) $15
a:
Stream of consciousness: Final number = original number - 30%(original number) = 50 - 30%(50) = 50 - 15 = $35. The answer is (B).