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D is the decimal form of the fraction 4/11

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Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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D is the decimal form of the fraction 4/11 [#permalink] New post 08 May 2016, 17:07
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82% (00:24) correct 17% (00:30) wrong based on 45 sessions
D is the decimal form of the fraction \(\frac{4}{11}\)

Quantity A
Quantity B
The 25th digit to the right of decimal point in D
\(4\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.




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Question: 1
Page: 61
[Reveal] Spoiler: OA

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GMAT Club Legend
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1650 [2] , given: 396

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Re: D is the decimal form of the fraction 4/11 [#permalink] New post 08 May 2016, 17:09
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Explanation

By dividing 4 by 11, you get the decimal form D = 0.363636…, where the sequence of two digits “36” repeats without end. Continuing the repeating pattern, you see that the 1st digit, the 3rd digit, the 5th digit, and every subsequent odd-numbered digit to the right of the decimal point is 3.

Therefore, Quantity A, the 25th digit to the right of the decimal point, is 3. Since Quantity A is 3 and Quantity B is 4, the correct answer is Choice B.
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Re: D is the decimal form of the fraction 4/11 [#permalink] New post 24 Feb 2018, 18:50
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[quote="sandy"]D is the decimal form of the fraction \(\frac{4}{11}\)

Quantity A
Quantity B
The 25th digit to the right of decimal point in D
\(4\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.




Dividing we get 0.3636....3 is in the odd place. 25th place is odd. So B is the answer
Re: D is the decimal form of the fraction 4/11   [#permalink] 24 Feb 2018, 18:50
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D is the decimal form of the fraction 4/11

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