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

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Intern
Joined: 20 May 2017
Posts: 3
Followers: 0

Kudos [?]: 1 [0], given: 21

a,b,c and d are all positive integers..... [#permalink]  07 Jun 2017, 06:38
00:00

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 1 sessions
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[Reveal] Spoiler: OA
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1613 [2] , given: 375

Re: a,b,c and d are all positive integers..... [#permalink]  07 Jun 2017, 11:01
2
KUDOS
Expert's post
Please follow the community guidelines for posting. It helps other students as well!

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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