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a,b,c and d are all positive integers.....

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Intern
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Joined: 20 May 2017
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Kudos [?]: 1 [0], given: 30

a,b,c and d are all positive integers..... [#permalink] New post 07 Jun 2017, 06:38
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Question Stats:

50% (00:17) correct 50% (01:47) wrong based on 6 sessions
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[Reveal] Spoiler: OA
2 KUDOS received
GRE Prep Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1825 [2] , given: 397

Re: a,b,c and d are all positive integers..... [#permalink] New post 07 Jun 2017, 11:01
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Now a, b, c and d are all positive integers and given that

\(ab = 3.7 \times (c+d)\). Now \(ab\) also must be an integer as as product of two integers is an integer.

\(3.7=\frac{37}{10}\). This is lowest reducable form as 37 and 10 have no common factors.

So \(c+d\) must have a factor of 10. So \(c+d\) is an even number with a factor of 10.

Hence option B and C are correct!

Now option A is not correct because if \(c+d\) is 10 then \(ab=37\), which is not divisible by 5.
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Sandy
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Re: a,b,c and d are all positive integers.....   [#permalink] 07 Jun 2017, 11:01
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a,b,c and d are all positive integers.....

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