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quant

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New post 27 Sep 2017, 14:24
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A
B
C
D
E

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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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Re: quant [#permalink]

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New post 27 Sep 2017, 14:26
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converting recurring decimal to fraction will give the denominator as 99.
so ans is 198 = C
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New post 27 Sep 2017, 14:27
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.

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New post 27 Sep 2017, 14:29
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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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New post 27 Sep 2017, 15:09
nice question.

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quant [#permalink]

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New post 27 Sep 2017, 21:12
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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Re: quant [#permalink]

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New post 28 Sep 2017, 08:11
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


PLEASE READ AND FOLLOW: RULES OF POSTING. Pay attention to rules 2 and 3. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 132588 [0], given: 12326

Re: quant   [#permalink] 28 Sep 2017, 08:11
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