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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If 20,374 + x is a multiple of 3, which of the following could be the

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Math Expert V
Joined: 02 Sep 2009
Posts: 59147
If 20,374 + x is a multiple of 3, which of the following could be the  [#permalink]

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Difficulty:   5% (low)

Question Stats: 86% (00:40) correct 14% (01:06) wrong based on 128 sessions

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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

_________________
Intern  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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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
Board of Directors D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4835
Location: India
GPA: 3.5
If 20,374 + x is a multiple of 3, which of the following could be the  [#permalink]

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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 _________________
Thanks and Regards

Abhishek....

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Board of Directors D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4835
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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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   [#permalink] 24 Sep 2017, 08:38
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# If 20,374 + x is a multiple of 3, which of the following could be the  