question: A car traveled from San Diego to San Francisco at an average speed of 54 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Options:
(A) 24.
(B) 32.
(C) 36.
(D) 42.
(E) 44.
answer: Stream of consciousness: Let the time taken be = x
One way distance = 54x
Total distance traveled = 2 * 54x = 108x
Total time taken = x + 2x = 3x
Average speed = 108x/3x = 36 The answer is (C).

q: What is the are of an equilateral triangle of side 12 cm?
Options:
(A) 645
(B) 649
(C) 644
(D) 363
(E) 642
a: Stream of consciousness: Area of an equilateral triangle = 3/4 S2
If S = 12, Area of triangle = 3/4 * 12 * 12 = 363 cm2; The answer is (D).

question: If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 72 m long cloth in
Options:
(A) 1 day
(B) 2 days
(C) 3 days
(D) 4 days
(E) 5 days
answer: Stream of consciousness: The length of cloth painted by one man in one day = 48 / 4 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 72/ 6 6 = 2 day. The answer is (B).

q: X can finish a work in 25 days. Y can finish the same work in 20 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 2
(B) 5
(C) 6
(D) 7
(E) 8
a: Stream of consciousness: Work done by X in 1 day = 1/25
Work done by Y in 1 day = 1/20
Work done by Y in 12 days = 12/20 = 3/5
Remaining work = 1 3/5 = 2/5
Number of days in which X can finish the remaining work = (2/5) / (1/20) = 8 The answer is (E).

question: The area of a side of a box is 120 sq cm. The area of the other side of the box is 72 sq cm. If the area of the upper surface of the box is 60 sq cm then find the volume of the box.
Options:
(A) 259200 cm3
(B) 86400 cm3
(C) 720 cm3
(D) Cannot be determined
(E) None of these
answer: Stream of consciousness: Volume of the box = 1207260 = 720 cm3 The answer is (C).

question: If f(x) = x^3/(x^4 - 1), what is f(1/x) in terms of f(x)?
Options:
(A) -f(x)
(B) f(x)
(C) 2*f(x)
(D) 1/f(x)
(E) 2/f(x)
answer:
Stream of consciousness: If x = 2 then f(x) = 8/15 and f(1/x) = -8/15 which is equal to -f(x) The answer is (A).