q: A cheetah runs m miles in n hours. How many miles will it run in x hours at the same rate?
Options:
(A) mnx
(B) mn
(C) mxn
(D) mx
(E) mnx
a: Stream of consciousness: Given Speed = m/n
To Find distance in x hours with same speed
Distance = speed * time
Distance = m/n*x = mx/n The answer is (C).

question: 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 18 minutes, how much time will she spend doing yoga? (rounded to minutes)
Options:
(A) 30 min.
(B) 41 min.
(C) 17 min.
(D) 23 min.
(E) 25 min.
answer: Stream of consciousness: The ratio is 2:3 = gym:ride, so (18)(3/2) = 27 minutes at the gym, and 27 + 18 = 45 minutes exercise, so (2/3)(45) = 30 minutes yog The answer is (A).

q: From the set of numbers x, y, t, z, p, q, r and w, how many different combinations can we have without the t,p,q and r in them? Ex:. (x,y), (x), (w,z,y,x), etc and (x,y)=(y,x)
Options:
(A) 10
(B) 12
(C) 15
(D) 16
(E) 30
a: Stream of consciousness: Another way: Any letter (x, y, z, w) can be included or not. So, we have 2^4 combinations - 4 empty combination = 12 combinations The answer is (B).

question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Options:
(A) 8%
(B) 15%
(C) 45%
(D) 52%
(E) 56%
answer: Stream of consciousness: First $20 million: royalties/sales ratio = 3/20 = 36/240
Next $108 million: royalties/sales ratio = 9/108 = 1/12 = 20/240 The answer is (C).

q: An equity analyst needs to select 3 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 7, in how many ways can she choose and rank her top 3 picks?
Options:
(A) 21
(B) 35
(C) 210
(D) 420
(E) 840
a: Stream of consciousness: Number of ways of choosing 3 stocks = 7C3
Number of ways of ranking the chosen stocks = 3!
Hence total ways of choosing and ranking = 7C3 * 3! = 7!/4! = 7*6*5 = 210 The answer is (C).

q: Find the area of a parallelogram with base 24 cm and height 16 cm.
Options:
(A) 262 cm2
(B) 384 cm2
(C) 192 cm2
(D) 131 cm2
(E) None of these
a:
Stream of consciousness: Area of a parallelogram = base * height = 24 * 16 = 384 cm2 The answer is (B).