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

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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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New post 13 Apr 2016, 05:01
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (00:40) correct 11% (00:54) wrong based on 97 sessions

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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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New post 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
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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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New post 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 :-D
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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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New post 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


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Abhishek....

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