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# Which of the following is a multiple of 6?

Author Message
Manager
Joined: 17 Oct 2016
Posts: 82

Kudos [?]: 38 [0], given: 17

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, 01:20
00:00

Difficulty:

15% (low)

Question Stats:

100% (00:42) correct 0% (00:00) wrong based on 12 sessions

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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

_________________

Sometimes you have to burn yourself to the ground before you can rise like a phoenix from the ashes.

Dr. Pratik

Kudos [?]: 38 [0], given: 17

Intern
Joined: 31 Jul 2017
Posts: 1

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

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

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12 Aug 2017, 01:24

Sent from my ONEPLUS A5000 using GMAT Club Forum mobile app

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

Manager
Joined: 17 Oct 2016
Posts: 82

Kudos [?]: 38 [0], given: 17

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:

Sent from my ONEPLUS A5000 using GMAT Club Forum mobile app

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
_________________

Sometimes you have to burn yourself to the ground before you can rise like a phoenix from the ashes.

Dr. Pratik

Kudos [?]: 38 [0], given: 17

Director
Joined: 04 Dec 2015
Posts: 696

Kudos [?]: 318 [0], given: 261

Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
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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