question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 50% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 75 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?
Options:
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
answer: Stream of consciousness: No of people from 10 - 11 is x
No of people from 11 - 12 is 3x/4
No of people from 12 to 1 is (3/2)(3x/4)
Given that 3x/4 + (3/2)(3x/4) = (3x/4)(5/2) = 75
Then x = 40 The answer is (D).

q: 252 can be expressed as a product of primes as:
Options:
(A) 2 x 2 x 3 x 3 x 7
(B) 2 x 2 x 3 x 3 x 8
(C) 2 x 2 x 3 x 3 x 6
(D) 2 x 2 x 3 x 3 x 1
(E) 2 x 2 x 3 x 3 x 2
a: Stream of consciousness: Clearly, 252 = 2 x 2 x 3 x 3 x 7. The answer is (A).

question: What is the are of an equilateral triangle of side 12 cm?
Options:
(A) 363 cm2
(B) 743 cm2
(C) 643 cm2
(D) 645 cm2
(E) 143 cm2
answer: 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 (A).

q: A car traveled from San Diego to San Francisco at an average speed of 45 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Options:
(A) 30.
(B) 32.
(C) 36.
(D) 42.
(E) 44.
a: Stream of consciousness: Let the time taken be = x
One way distance = 45x
Total distance traveled = 2 * 45x = 90x
Total time taken = x + 2x = 3x
Average speed = 90x/3x = 30 The answer is (A).

question: A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 229
(B) 144
(C) 278
(D) 126
(E) 112
answer: Stream of consciousness: S = 240/6 * 18/5 = 144 kmph The answer is (B).

question: In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Options:
(A) 5 years
(B) 6 years
(C) 7 years
(D) 9 years
(E) 15 years
answer:
Stream of consciousness: (4000*T*5)/100 = (5000*5*4)/100
T = 5 years The answer is (A).