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# If 20,374 + x is a multiple of 3, which of the following could be the

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Math Expert
Joined: 02 Sep 2009
Posts: 47168
If 20,374 + x is a multiple of 3, which of the following could be the  [#permalink]

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13 Apr 2016, 06:01
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If 20,374 + x is a multiple of 3, which of the following could be the value of x?

A. 1
B. 2
C. 3
D. 4
E. 6

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Joined: 08 Aug 2015
Posts: 4
Location: India
WE: Manufacturing and Production (Aerospace and Defense)
Re: If 20,374 + x is a multiple of 3, which of the following could be the  [#permalink]

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13 Apr 2016, 09:39
20,374 + x is a multiple of 3 means it should get evenly divided by 3
So sum all digits must be divisible by 3
2+0+3+7+4+x shall be divisible by 3
hence x must be 2

Ans: B
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If 20,374 + x is a multiple of 3, which of the following could be the  [#permalink]

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13 Apr 2016, 10:59
Bunuel wrote:
If 20,374 + x is a multiple of 3, which of the following could be the value of x?

A. 1
B. 2
C. 3
D. 4
E. 6

Sum of the digits of 20,374 is 2+0+3+7+4 = 16

Now 16 is not a multiple of 3, the next multiple of 3 close to 16 is 18, which is 2 added to 16.

So the least number to be added to 20,374 is 2
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Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3654
Location: India
GPA: 3.5
Re: If 20,374 + x is a multiple of 3, which of the following could be the  [#permalink]

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24 Sep 2017, 08:38
Bunuel wrote:
If 20,374 + x is a multiple of 3, which of the following could be the value of x?

A. 1
B. 2
C. 3
D. 4
E. 6

$$\frac{20,374 + x}{3}$$

= $$\frac{20,373 + 1 + x}{3}$$

So, the value of x must be 2 (Minimum) , for the numerator to be completely divisible by 3...

Hence, the correct answer must be (B) 2

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: If 20,374 + x is a multiple of 3, which of the following could be the &nbs [#permalink] 24 Sep 2017, 08:38
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