q: The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 22
(B) 56
(C) 44
(D) 55
(E) 81
a: Stream of consciousness: 1 to 11 = 11 * 50 = 550
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 550 = 56 The answer is (B).


question: A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
Options:
(A) 287
(B) 699
(C) 677
(D) 300
(E) 150
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 15 = 300 m The answer is (D).


q: For integers U and V, when U is divided by V, the remainder is Zero. Which of the following must be true?
Options:
(A) U and V share no common factors other than 1
(B) UV is odd.
(C) At least one of U and V is odd
(D) The sum U + V is odd
(E) U is odd
a: Stream of consciousness: At least one of U and V is odd 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 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: A 250 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?
Options:
(A) 228
(B) 108
(C) 1266
(D) 75
(E) 211
a: Stream of consciousness: S = 250/12 * 18/5 = 75kmph The answer is (D).


q: Preethi has 6 flavors of ice cream in his parlor. How many options are there for Dorathy to pick a one-flavor, two-flavor, three-flavor, four-flavor, five flavor or six flavor order?
Options:
(A) 26
(B) 36
(C) 64
(D) 67
(E) 63
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: 6C1 + 6C2+ 6C3+6C4+6C5+6C6 = 63. The answer is (E).