q: A owes B Rs.50. He agrees to pay B over a number of consecutive days on a Monday, paying single note or Rs.10 or Rs.20 on each day. In how many different ways can A repay B.
Options:
(A) 2
(B) 8
(C) 9
(D) 6
(E) 5
a: Stream of consciousness: He can pay by all 10 rupee notes = 1 way
3 Ten rupee + 1 twenty rupee = 4!3!1!4!3!1! = 4 ways
1 Ten rupee + 2 twenty rupee notes = 3!2!1!3!2!1! = 3 ways
Total ways = 1 + 4 + 3 = 8 The answer is (B).

question: A train 490 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 18 sec
(B) 16 sec
(C) 76 sec
(D) 15 sec
(E) 28 sec
answer: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 490 * 2/35 = 28 sec The answer is (E).

q: In a jar there are 3 red gumballs and 2 blue gumballs. What is the probability of drawing at least one red gumball when drawing two consecutive balls randomly?
Options:
(A) 2/5
(B) 16/20
(C) 9/10
(D) 3/5
(E) 1/3
a: Stream of consciousness: P(at least one red) = 1 - P(no red, so 2 blue) = 1- 2/5*1/4 = 9/10. The answer is (C).

question: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 12 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Options:
(A) 31.25
(B) 31.5
(C) 33.75
(D) 35.0
(E) 37.5
answer: Stream of consciousness: Rate of flow of water in second hour = 12 gallons per hour
Rate of flow of water in first hour = 12/(3/2) = 8 gallons per hour
Rate of flow of water in third hour = (125/100)* 12 = (5/4) * 12 = 15 gallons per hour
Number of gallons of water that flowed through the pipe during the entire 3 hours = 12+8+15 = 35 gallons The answer is (D).

q: (4300731)-! = 2535618. Find value of !?
Options:
(A) 1213441
(B) 2354546
(C) 4354556
(D) 2435454
(E) 1765113
a: Stream of consciousness: Let 4300731 - ! = 2535618
Then !, = 4300731 - 2535618 = 1765113 The answer is (E).

q: If the personal income tax rate is lowered from 40% to 33%, what is the differential savings for a tax payer having an annual income before tax to the tune of $45000?
Options:
(A) $3500
(B) $5000
(C) $3150
(D) $7000
(E) $10000
a:
Stream of consciousness: Saving = (40-33)% of 45000 = 3150. The answer is (C).