It is currently 12 Dec 2017, 10:20

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If a represents a single digit and the four digit integer a12a is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Senior Manager
Senior Manager
avatar
P
Joined: 27 May 2014
Posts: 320

Kudos [?]: 192 [0], given: 83

GMAT 1: 730 Q49 V41
GMAT ToolKit User Premium Member
If a represents a single digit and the four digit integer a12a is [#permalink]

Show Tags

New post 22 Oct 2017, 19:17
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

90% (00:32) correct 10% (00:46) wrong based on 31 sessions

HideShow timer Statistics

If a represents a single digit and the four digit integer a12a is divisible by 6, what is a?

(a) 2
(b) 3
(c) 4
(d) 6
(e) 7
[Reveal] Spoiler: OA

Kudos [?]: 192 [0], given: 83

Intern
Intern
avatar
Joined: 25 Nov 2016
Posts: 2

Kudos [?]: [0], given: 3

Re: If a represents a single digit and the four digit integer a12a is [#permalink]

Show Tags

New post 22 Oct 2017, 20:05
D. 6

You want a12a to be a multiple of 6. Thus, sum 1+2+2a should be divisible by 3 and ‘a’ should be even. So, only possible value that satisfies the above constraints is 6.


Sent from my iPhone using GMAT Club Forum

Kudos [?]: [0], given: 3

Manager
Manager
User avatar
S
Joined: 22 May 2015
Posts: 87

Kudos [?]: 38 [0], given: 22

Re: If a represents a single digit and the four digit integer a12a is [#permalink]

Show Tags

New post 23 Oct 2017, 06:23
To be divisible by 2 the units digit should be either 0,2,4,6,8. So a or c or d. And to be divisible by 3 sum of digits should be divisible by 3. Only option d satisfies the conditions.

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
_________________

Consistency is the Key

Kudos [?]: 38 [0], given: 22

Intern
Intern
avatar
Joined: 23 Jun 2015
Posts: 7

Kudos [?]: 3 [0], given: 1

Re: If a represents a single digit and the four digit integer a12a is [#permalink]

Show Tags

New post 23 Oct 2017, 06:36
6

1) For the number to be divisible by 6, it has to be divisible by 2 & 3.
2) Since the number is divisible by 2, it must be even.
3) Since the number must be divisible by 3, the sum of digits of the number must be divisible by 3.

We can now arrive at the answer by simply eliminating the answer choices.

For pt.3 to hold good, options b and d will satisfy.
Among these, for pt.2 to hold good, only option d satisfies.


Sent from my Moto G (4) using GMAT Club Forum mobile app

Kudos [?]: 3 [0], given: 1

Re: If a represents a single digit and the four digit integer a12a is   [#permalink] 23 Oct 2017, 06:36
Display posts from previous: Sort by

If a represents a single digit and the four digit integer a12a is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.