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 20 minutes, how much time will she spend doing yoga? (rounded to minutes)
Options:
(A) 10 min.
(B) 33 min.
(C) 17 min.
(D) 23 min.
(E) 25 min.
answer: Stream of consciousness: The ratio is 2:3 = gym:ride, so (20)(3/2) = 30 minutes at the gym, and 30 + 20 = 50 minutes exercise, so (2/3)(50) = 33 minutes yoga. The answer is (B).

q: By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Options:
(A) 20
(B) 99
(C) 88
(D) 77
(E) 61
a: Stream of consciousness: Let the time taken to reach the destination be 3x hours. Total distance = 40 * 3x = 120x km
He covered 2/3 * 120x = 80x km in 1/3 * 3x = x hours So, the remaining 40x km, he has to cover in 2x hours. Required speed = 40x/2x = 20 kmph. The answer is (A).

question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40
(B) 87
(C) 26
(D) 21
(E) 14
answer: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec The answer is (A).

q: Look at this series: 53, 53, 46, 46, 39, 39, ... What number should come next?
Options:
(A) A) 12
(B) B) 14
(C) C) 27
(D) D) 32
(E) E) 86
a: Stream of consciousness: In this series, each number is repeated, then 7 is subtracted to arrive at the next number. The answer is (D).

question: A family with 1 mother, 1 father, and 4 children sit in a car with 2 front seats and 4 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other three children on either side of him, how many seating arrangements are possible?
Options:
(A) 3
(B) 4
(C) 6
(D) 24
(E) 10
answer: Stream of consciousness: Mother has a fixed place and father, so there are 4! ways to arrange the children, hence The answer is (D).

question: There are different 45 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 1950
(B) 2000
(C) 1980
(D) 1580
(E) 2600
answer:
Stream of consciousness: Maximum points of intersection between n different circles = n*(n - 1) = 45*44 = 1980 The answer is (C).