question: A woman begins bicycling with a pace of 10 kmph and she increases her pace every two hours by 2 kmph. She rests from bicycling 2 hours after her pace reaches her maximum speed of 14 kmph. She does a cool-down for the final 8 km at a pace of 2 kmph. How far in km did she bicycle?
Options:
(A) 96 km
(B) 100 km
(C) 106 km
(D) 116 km
(E) 126 km
answer: Stream of consciousness: Distance covered in first two hours = 10 2 = 20 km
Distance covered in next two hours = 12 2 = 24 km
Distance covered in next two hours = 14 2 = 48 km
Distance covered in first six hours
20 + 24 + 48 = 92 km
Remaining distance = 8 km
92 + 8 = 100 km The answer is (B).

q: A train running at the speed of 60 km/hr crosses a pole in 21 sec. What is the length of the train?
Options:
(A) 350
(B) 150
(C) 277
(D) 258
(E) 191
a: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 21 = 350 m The answer is (A).

question: A certain car uses 12 gallons of gasoline in traveling 300 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car's gas mileage be increased?
Options:
(A) 2
(B) 4
(C) 5
(D) 8
(E) 10
answer: Stream of consciousness: 300/10 = 30. The difference is 30 - 25 = 5. The answer is (C).

q: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 hours after the first, and reaches Pune hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 3:5
(B) 4:5
(C) 2:5
(D) 2:4
(E) 2:7
a: Stream of consciousness: T = 160/32 = 5 h
T = 5 - 3 = 2
Time Ratio = 5:2
Speed Ratio = 2:5 The answer is (C).

question: The sale price sarees listed for Rs.400 after successive discount is 20% and 5% is?
Options:
(A) 338
(B) 277
(C) 342
(D) 882
(E) 304
answer: Stream of consciousness: 400*(80/100)*(95/100) = 304 The answer is (E).

question: If 17m n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Options:
(A) 2m 1
(B) 4m
(C) 6m
(D) m/5
(E) 6m/5
answer:
Stream of consciousness: 17m - n = p
Add n to both sides:
17m = n + p
Add m to both sides:
18m = n + p + m
Now, divide both sides by 3
6m = (n + p + m)/3 = the average of n, p, and m The answer is (C).