Reasoning: D = 72 * 5/18 = 25 = 500 – 150 = 350
Ans: (C)
Question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Options:
(A) 338
(B) 277
(C) 350
(D) 881
(E) 271

Rationale: 1/3: 1/7: 1/1 = 7:3:21
The answer: (E)
Question: The inverse ratio of 3: 7: 1 is?
Options:
(A) 2:3:7
(B) 2:3:9
(C) 2:3:2
(D) 2:3:6
(E) 2:3:1

Reasoning: The prompt is essentially asking for the maximum number of 4x 4 squares that can be cut from a larger 16 by 16 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 4 'pieces' each, we have (4)(4) = 16 total smaller squares (at maximum).
Ans: (C)
Question: What is the maximum number of pieces of birthday cake of size 4” by 4” that can be cut from a cake 16” by 16”?
Options:
(A) 5
(B) 4
(C) 16
(D) 20
(E) 25

Rationale: 343^10 = (7^3)^10 = 7^30
The answer: (E)
Question: What is the greatest positive integer x such that 7^x is a factor of 343^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30

Reasoning: According to the information in the question the maximum range would be between 600 and 760(160). The minimum range would be the greatest range for any one individual, which is listed in the problem as 90. So the difference between these would be 160-90 or 70.
Ans: (C)
Question: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 5 times, and no one scored below 600 or over 760. If the individual ranges of the three people's scores in those 5 practice tests were 20, 60 and 90, what is the difference between the maximum and minimum possible ranges of all their scores put together.
Options:
(A) 40
(B) 60
(C) 70
(D) 100
(E) 110

Reasoning: No of people from 10 - 11 is x
No of people from 11 - 12 is 3x/4
No of people from 12 to 1 is (5/4)(3x/4)
Given that 3x/4 + (5/4)(3x/4) = 27x/16 = 135
Then x = 80
Ans: (E)

Question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 25% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 135 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?
Options:
(A) 10
(B) 20
(C) 30
(D) 40
(E) 80