q: A train 120 meters long completely crosses a 480 meters long bridge in 55 seconds. What is the speed of the train is?
Options:
(A) 32
(B) 545
(C) 39
(D) 40
(E) 09
a: Stream of consciousness: S = (120 + 480)/45 = 600/55 * 18/5 = 39 The answer is (C).

question: How many positive integers less than 70 have a reminder 01 when divided by 3?
Options:
(A) 13
(B) 24
(C) 35
(D) 16
(E) 17
answer: Stream of consciousness: 1 also gives the remainder of 1 when divided by 3. So, there are total of 24 numbers. The answer is (B).

q: If the personal income tax rate is lowered from 38% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36500?
Options:
(A) $1825
(B) $5000
(C) $3150
(D) $7000
(E) $10000
a: Stream of consciousness: Saving = (38-33)% of 36500 = 1825. The answer is (A).

question: A marble shop contains 6 blue marbles, 7 red marbles, and 7 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be blue?
Options:
(A) 5/19
(B) 9/20
(C) 1/57
(D) 15/57
(E) 15/684
answer: Stream of consciousness: It doesn't matter which type of card you choose, so:
Probability of choosing 1st card: 6/20
Probability of choosing 2nd card of the same type: 5/19
Probability of choosing 3rd card of the same type: 4/18
Multiply and you get 1/57 The answer is (C).

q: If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 1 strokes ?
Options:
(A) 1/2
(B) 7/8
(C) 1/4
(D) 1/8
(E) 1/16
a: Stream of consciousness: Left After 1st stroke = 1/2
So removed = 1- 1/2 = 1/2 The answer is (A).

q: It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 12 minutes, how much time will she spend doing yoga? (rounded to minutes)
Options:
(A) 10 min.
(B) 41 min.
(C) 17 min.
(D) 23 min.
(E) 20 min.
a:
Stream of consciousness: The ratio is 2:3 = gym:ride, so (12)(3/2) = 18 minutes at the gym, and 18 + 12 = 30 minutes exercise, so (2/3)(30) = 20 minutes yoga. The answer is (E).