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# If each of the three nonzero numbers a, b, and c is divisibl

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Joined: 30 Oct 2017
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If each of the three nonzero numbers a, b, and c is divisibl [#permalink]  30 May 2018, 01:13
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Question Stats:

71% (01:33) correct 28% (00:22) wrong based on 7 sessions
If each of the three nonzero numbers a, b, and c is divisible by 3, then abc must be divisible by which one of the following the numbers?

(A) 8

(B) 27

(C) 81

(D) 121

(E) 159
[Reveal] Spoiler: OA

Last edited by Carcass on 30 May 2018, 15:56, edited 1 time in total.
Edited by Carcass
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1665 [0], given: 396

Re: If each of the three nonzero numbers a, b, and c is divisibl [#permalink]  31 May 2018, 11:19
Expert's post
Three numbers are divisible by 3. Rewiting them:

$$a= 3m$$
$$b=3n$$
$$c=3o$$

$$abc= 3m \times 3n \times 30 =27mno$$.

So the number $$a\times b\times c$$ is divisible by 27.
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Re: If each of the three nonzero numbers a, b, and c is divisibl   [#permalink] 31 May 2018, 11:19
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