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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
If the positive integer b is 5% greater than the positive integer a, w
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03 Apr 2021, 21:23
03 Apr 2021, 21:23
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Question Stats:
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60% (01:15) wrong based on 5 sessions
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If the positive integer b is 5% greater than the positive integer a, which of the following expressions must be equal to an integer?
I. b/3
II. b/5
III. b/7
A. None
B. II only
C. I and II only
D. I and III only
E. II and III only
I. b/3
II. b/5
III. b/7
A. None
B. II only
C. I and II only
D. I and III only
E. II and III only
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Re: If the positive integer b is 5% greater than the positive integer a, w
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04 Apr 2021, 00:59
04 Apr 2021, 00:59
1
GeminiHeat wrote:
If the positive integer b is 5% greater than the positive integer a, which of the following expressions must be equal to an integer?
I. b/3
II. b/5
III. b/7
A. None
B. II only
C. I and II only
D. I and III only
E. II and III only
I. b/3
II. b/5
III. b/7
A. None
B. II only
C. I and II only
D. I and III only
E. II and III only
\(b = 1.05a = \frac{105}{100}a = \frac{21}{20}a\)
If \(a\) and \(b\) are to be integers, then \(a\) must be a factor of \(20\)
i.e. \(a = 20, 40, 60, ....\)
Therefore, \(b\) must be a factor of \(21 = (3)(7)\)
Hence, option D
Re: If the positive integer b is 5% greater than the positive integer a, w
[#permalink]
04 Apr 2021, 06:07
04 Apr 2021, 06:07
why not option a?
