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# In the repeating decimal 0.097531097531..., what is the 44th digit to

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Math Expert
Joined: 02 Sep 2009
Posts: 55649
In the repeating decimal 0.097531097531..., what is the 44th digit to  [#permalink]

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24 Dec 2018, 20:51
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Difficulty:

15% (low)

Question Stats:

77% (00:41) correct 23% (00:57) wrong based on 36 sessions

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In the repeating decimal 0.097531097531..., what is the 44th digit to the right of the decimal point?

A. 0
B. 1
C. 3
D. 7
E. 9

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Joined: 18 Jul 2018
Posts: 938
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: In the repeating decimal 0.097531097531..., what is the 44th digit to  [#permalink]

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24 Dec 2018, 20:55
The decimal has a repeating pattern of 6 digits.

097531. So the 42nd digit will be 1 as 6*7 = 42.
Then 43rd will be 0 and 44th will be 9.

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Re: In the repeating decimal 0.097531097531..., what is the 44th digit to  [#permalink]

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25 Dec 2018, 02:45
Bunuel wrote:
In the repeating decimal 0.097531097531..., what is the 44th digit to the right of the decimal point?

A. 0
B. 1
C. 3
D. 7
E. 9

0.097531097531
set of 6 digits
44/6= 7.6..
so 7 times it would repeat and 43rd=0 44th= 9
IMO E
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Re: In the repeating decimal 0.097531097531..., what is the 44th digit to   [#permalink] 25 Dec 2018, 02:45
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