question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 5 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Options:
(A) 60 gallons
(B) 200 gallons
(C) 120 gallons
(D) 180 gallons
(E) 130 gallons
answer: Stream of consciousness: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 5 gallonsVolume of whole = 5 * 40 = 200 gallons. The answer is (B).

q: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 16. What is the middle number?
Options:
(A) 27
(B) 29
(C) 36
(D) 34
(E) 35
a: Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 16 = 90
So, the middle number is (126 - 90 ) = 36 The answer is (C).

question: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 20 seconds. What is the length of the platform in meters?
Options:
(A) 200 meters
(B) 360 meters
(C) 420 meters
(D) 600 meters
(E) Cannot be determined
answer: Stream of consciousness: Speed of the train in metres/sec = 72000/3600 = 20
Distance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform
Distance travelled by train to cross the man = 20 * 20 = 400 = Length of train
Length of platform = 600 - 400 = 200 The answer is (A).

q: Rohith,who works in a parcel service, has a certain number of small plastic boxes to pack into parcels. If he packs 3,4,5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcel, none is left over. What is the number of boxes, he may have to pack?
Options:
(A) 223
(B) 301
(C) 377
(D) 1368
(E) 222
a: Stream of consciousness: The required number of boxes is such that it leaves a remainder of 1 when divided by 3, 4, 5 or 6 and no remainder of 1 when divided by 3, 4, 5 or 6 and no remainder when divided by 7. Such a number is 301. The answer is (B).

question: If a company allocates 15 percent of its budget to advertising, 20 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 3/5
(C) 3/10
(D) 1/5
(E) 1/10
answer: Stream of consciousness: 15 + 20 + 55 = 90% 100 - 90 = 10% to all others The answer is (E).

question: Preethi has 6 flavors of ice cream in his parlor. How many options are there for Dorathy to pick a one-flavor, two-flavor, three-flavor, four-flavor, five flavor or six flavor order?
Options:
(A) 26
(B) 36
(C) 64
(D) 67
(E) 63
answer:
Stream of consciousness: 6C1 + 6C2+ 6C3+6C4+6C5+6C6 = 63. The answer is (E).