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# What is the hundredths digit in the decimal expression of r/55?

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
What is the hundredths digit in the decimal expression of r/55?  [#permalink]

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14 Jan 2018, 06:28
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Difficulty:

65% (hard)

Question Stats:

50% (01:49) correct 50% (01:22) wrong based on 48 sessions

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What is the hundredths digit in the decimal expression of r/55?

(1) r is the least common denominator of 1/7 and positive integer x.
(2) r is prime.

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Joined: 07 Dec 2017
Posts: 1153
Re: What is the hundredths digit in the decimal expression of r/55?  [#permalink]

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14 Jan 2018, 14:01
Bunuel wrote:
What is the hundredths digit in the decimal expression of r/55?

(1) r is the least common denominator of 1/7 and positive integer x.
(2) r is prime.

To know the digits in a decimal expansion, we need to know the remainder of r/55.
We'll look for the statement that gives us this information, a Logical approach.

(1) The LCD of 1/7 and x/1 is the same as the least common multiple of 7 and 1 which is 7.
So r = 7 which is sufficient.

(2) This does not give us the information we need (the remainder)
Insufficient!

(A) is our answer.
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Re: What is the hundredths digit in the decimal expression of r/55?   [#permalink] 14 Jan 2018, 14:01
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# What is the hundredths digit in the decimal expression of r/55?

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