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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2932
Given Kudos: 1274
GPA: 3.39
If a and b are positive integers such that a/b = 2.86, which of the
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15 Apr 2021, 01:00
15 Apr 2021, 01:00
Expert Reply
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Question Stats:
80% (01:11) correct
20% (01:02) wrong based on 5 sessions
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If a and b are positive integers such that a/b = 2.86, which of the following must be a divisor of a?
A. 10
B. 13
C. 18
D. 26
E. 50
A. 10
B. 13
C. 18
D. 26
E. 50
If a and b are positive integers such that a/b = 2.86, which of the
[#permalink]
15 Apr 2021, 02:53
15 Apr 2021, 02:53
2
Quote:
a/b = 2.86
Let's convert 2.86 into fraction.
\(2.86 = 2 + \frac{86}{100} = \frac{2 + 43}{50} = \frac{100 + 43 }{ 50} = \frac{143 }{ 50}\)
\(\frac{a}{b }= \frac{143}{50}\)
a must be a multiple of 143.
Quote:
which of the following must be a divisor of a?
Any number which is a divisor of 143: 1, 11, 13, or 143.
Hence, B is the correct answer.
Re: If a and b are positive integers such that a/b = 2.86, which of the
[#permalink]
16 Apr 2021, 02:09
16 Apr 2021, 02:09
1
the first step could be to make it into fraction so that we get a fair idea of what the divisor of a could be
a/b = 2.86 which can also be written as a/b = 286/100. so, the divisor of a should divide 286, leaving a remainder of 0.
Hence, the correct answer would be b
a/b = 2.86 which can also be written as a/b = 286/100. so, the divisor of a should divide 286, leaving a remainder of 0.
Hence, the correct answer would be b
