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 10 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) 25 min.
A: OK... Stream of consciousness: The ratio is 2:3 = gym:ride, so (10)(3/2) = 15 minutes at the gym, and 15 + 10 = 25 minutes exercise, so (2/3)(25) = 17 minutes yoga.
The answer is (C).

Q: If the length of an edge of cube P is twice the length of an edge of cube Q, what is the ratio of the volume of cube Q to the volume of cube P?
Options:
(A) 1/8
(B) 1/4
(C) 1/3
(D) 1/7
(E) 1/9
A: OK... Stream of consciousness: The length of cube Q = 1;
The length of cube P = 2;
The ratio of the volume of cube Q to the volume of cube P = 1^3/2^3 = 1/8.
The answer is (A).

Q: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train?
Options:
(A) 150
(B) 872
(C) 287
(D) 200
(E) 212
A: OK... Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 12 = 200 meter
The answer is (D).

Q: The average of first 15 natural numbers is?
Options:
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11
A:
OK... Stream of consciousness: Sum of 15 natural no. = 240/2 = 120
Average = 120/15 = 8
The answer is (B).