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Which of the following is a multiple of 6?

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Which of the following is a multiple of 6? [#permalink]

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New post 12 Aug 2017, 01:20
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Question Stats:

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Which of the following is a multiple of 6?

A. 414314

B. 512365

C. 618520

D. 726573

E. 878052
[Reveal] Spoiler: OA

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Re: Which of the following is a multiple of 6? [#permalink]

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New post 12 Aug 2017, 01:24
E is the answer.

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Which of the following is a multiple of 6? [#permalink]

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New post 12 Aug 2017, 01:27
Ivarjk wrote:
E is the answer.

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Yes
As any number divisible by 6 Must be an even number ( if N is divisible by 6, it should be divisible by 2 and 3!). This rules out odd options.

Rest of the options (even) are divisible by 2, just add them up to see whether they are divisible by 3 :wink:
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Which of the following is a multiple of 6? [#permalink]

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New post 12 Aug 2017, 01:37
fitzpratik wrote:
Which of the following is a multiple of 6?

A. 414314

B. 512365

C. 618520

D. 726573

E. 878052


Any number is divisible by \(6\) if its divisible both by \(2\) and \(3\).

Divisibility by \(2\) - Last digit is even.

Divisibility by \(3\) - Sum of digits is divisible by \(3\).

Lets check the options;

A. \(414314 =\) Sum of digits \(= 17\) ---------- Not divisible by \(3\). Hence Not divisible by \(6\).

B. \(512365 =\) Not divisible by \(2\). Hence Not divisible by \(6\).

C. \(618520 =\) Sum of digits \(= 22\) ----------- Not divisible by \(3\). Hence Not divisible by \(6\).

D. \(726573 =\) Not divisible by \(2\). Hence Not divisible by \(6\).

E. \(878052 =\) Sum of digits \(= 30\). Divisible by \(3\) and also divisible by \(2\). Hence Divisible by \(6\).

Answer (E)...

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Which of the following is a multiple of 6?   [#permalink] 12 Aug 2017, 01:37
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Which of the following is a multiple of 6?

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