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# M is the length of the sequence of digits that are duplicated in an in

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

Kudos [?]: 87 [0], given: 37

M is the length of the sequence of digits that are duplicated in an in [#permalink]

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06 Jul 2011, 13:20
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Question Stats:

71% (01:20) correct 29% (00:56) wrong based on 7 sessions

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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?

A. 1/3
B. 1/11
C. 8/15
D. 2/7
E. 4/9
[Reveal] Spoiler: OA
Manager
Joined: 29 Jun 2011
Posts: 76
Followers: 3

Kudos [?]: 16 [0], given: 47

Re: M is the length of the sequence of digits that are duplicated in an in [#permalink]

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06 Jul 2011, 14:11
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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Re: M is the length of the sequence of digits that are duplicated in an in   [#permalink] 06 Jul 2011, 14:11
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