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# REPEATING DECIMALS

Author Message
TAGS:
Manager
Joined: 16 May 2011
Posts: 204
Concentration: Finance, Real Estate
GMAT Date: 12-27-2011
WE: Law (Law)
Followers: 1

Kudos [?]: 52 [0], given: 37

REPEATING DECIMALS [#permalink]  06 Jul 2011, 12:20
00:00

Difficulty:

(N/A)

Question Stats:

75% (00:00) correct 25% (01:53) wrong based on 4 sessions
5. M is the length of the sequence of digits that are duplicated in an infinite decimal fraction. For example, for 1/9 (0.111111), M = 1 and for 1/11 (0.090909...), M = 2 (09 repeats itself). Of the five following answers, which has the greatest M?
1/3 A
1/11 B
8/15 C
2/7 D
4/9 E

again the OA is mine and not ftom a forml resource.

need better approach than a hint than when you see a number divided by 7, 13, 49 etc...

Kudos will be appreciated hhhhh
[Reveal] Spoiler: OA
Manager
Joined: 29 Jun 2011
Posts: 76
Followers: 3

Kudos [?]: 14 [0], given: 47

Re: REPEATING DECIMALS [#permalink]  06 Jul 2011, 13:11
non terminating decimals are produced in cases of division by prime numbers except by 2 and 5.

options a and c are effectively the same because they have the same nonterminating prime in their denominator ie 3. 15 = 5*3 and 5 is terminating. so both would yeild the same M. therefore, none of them is the correct option.
now 4/9 gives M=1 which incidentally is also M for option a ie 1/3. so option e is out.
now 1/11 gives M = 2 whereas 2/7 gives M=6 which is the biggest. 2/7=0.285714
ans d
_________________

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How charged with punishments the scroll,
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Re: REPEATING DECIMALS   [#permalink] 06 Jul 2011, 13:11
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