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Which of the following is a multiple of 6?

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Manager
Joined: 17 Oct 2016
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Location: India
Concentration: General Management, Healthcare
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Which of the following is a multiple of 6? [#permalink]

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12 Aug 2017, 01:20
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Which of the following is a multiple of 6?

A. 414314

B. 512365

C. 618520

D. 726573

E. 878052

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

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

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Manager
Joined: 17 Oct 2016
Posts: 93
Location: India
Concentration: General Management, Healthcare
GMAT 1: 640 Q40 V38
GMAT 2: 680 Q48 V35
GPA: 3.05
WE: Pharmaceuticals (Health Care)
Which of the following is a multiple of 6? [#permalink]

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

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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 $$6$$.

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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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