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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
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Kudos [?]: 135760 [0], given: 12708

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

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13 Apr 2016, 05:01
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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
[Reveal] Spoiler: OA

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Kudos [?]: 135760 [0], given: 12708

Intern
Joined: 08 Aug 2015
Posts: 4

Kudos [?]: 6 [0], given: 8

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, 08:39
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

Kudos [?]: 6 [0], given: 8

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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, 09:59
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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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, 07:27
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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, 07:38
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

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Kudos [?]: 1150 [0], given: 327

Re: If 20,374 + x is a multiple of 3, which of the following could be the   [#permalink] 24 Sep 2017, 07:38
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# If 20,374 + x is a multiple of 3, which of the following could be the

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