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# quant

Author Message
Intern
Joined: 27 Sep 2017
Posts: 4

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27 Sep 2017, 13:24
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions

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Let D be a recurring decimal of the form D = 0.a1a2a1a2... where digits a1 and a2 lie between 0 and 9. which of the following necessarily produces an integer when multiplied by D.
A. 18
B. 108
C. 198
D. 208
E. 219

OA: C

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Intern
Joined: 02 Jul 2017
Posts: 23
Location: India
GMAT 1: 700 Q48 V42
GPA: 3.85
WE: Operations (Consumer Electronics)

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27 Sep 2017, 13:26
2
converting recurring decimal to fraction will give the denominator as 99.
so ans is 198 = C
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Intern
Joined: 27 Sep 2017
Posts: 4

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27 Sep 2017, 13:27
hi, ng2. thanks for the prompt reply.
could you please tell me how did you convert this into a fraction. I mean this is a general form of the decimal right? so could you please elaborate on the answer.
Intern
Joined: 02 Jul 2017
Posts: 23
Location: India
GMAT 1: 700 Q48 V42
GPA: 3.85
WE: Operations (Consumer Electronics)

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27 Sep 2017, 13:29
1
since its a general form i just took any recurring decimal of that form . say for example 0.343434... and converted that to the fraction and got the answer.
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Intern
Joined: 07 Aug 2016
Posts: 19
Location: India
GPA: 3.2

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27 Sep 2017, 14:09
nice question.
Math Expert
Joined: 02 Sep 2009
Posts: 50617

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27 Sep 2017, 20:12
akbak wrote:
Let D be a recurring decimal of the form D = 0.a1a2a1a2... where digits a1 and a2 lie between 0 and 9. which of the following necessarily produces an integer when multiplied by D.
A. 18
B. 108
C. 198
D. 208
E. 219

OA: C

Discussed here: https://gmatclub.com/forum/let-d-be-a-r ... 57168.html
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Math Expert
Joined: 02 Sep 2009
Posts: 50617

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28 Sep 2017, 07:11
akbak wrote:
Let D be a recurring decimal of the form D = 0.a1a2a1a2... where digits a1 and a2 lie between 0 and 9. which of the following necessarily produces an integer when multiplied by D.
A. 18
B. 108
C. 198
D. 208
E. 219

OA: C

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--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: quant &nbs [#permalink] 28 Sep 2017, 07:11
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