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If the fraction d were converted into a decimal, would there

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If the fraction d were converted into a decimal, would there be more than 3 nonzero digits to the right of the decimal point?

(1) The denominator of d is exactly 8 times the numerator of d.
(2) If d were converted into a decimal, d would be a non-repeating decimal.
[Reveal] Spoiler: OA

Last edited by Bunuel on 10 Dec 2012, 06:12, edited 1 time in total.
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If the fraction d were converted into a decimal, would there be more than 3 nonzero digits to the right of the decimal point?

Let \(d=\frac{x}{y}\).

(1) The denominator of d is exactly 8 times the numerator of d. Given that \(y=8x\), thus \(d=\frac{x}{8x}=\frac{1}{8}=0.125\). Sufficient.

(2) If d were converted into a decimal, d would be a non-repeating decimal. Clearly insufficient, for example d could be 0.1 or 0.1234. Not sufficient.

Answer: A.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Please pay attention to the rule#3. Thank you.
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New post 10 Dec 2012, 06:44
Thanks bunuel - but is 0.1 a non repeating decimal?

I am actually confused & assumed pie (3.14...) as my example and marked D.

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New post 10 Dec 2012, 06:52
deepri0812 wrote:
Thanks bunuel - but is 0.1 a non repeating decimal?

I am actually confused & assumed pie (3.14...) as my example and marked D.


We are told that "If d were converted into a decimal, d would be a non-repeating decimal", thus 0.1 and 0.1234 are valid examples.
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New post 11 Aug 2017, 04:07
Hi Bunuel, I just rechecked the definition of "non-repeating decimal" (a.k.a. "non-recurring decimals") and found out that:
1) A terminating decimal representation means a number can be represented by a finite string of digits in base 1010 notation, Eg: 0.5, 0.25, 0.8, 2.42
2) A non-terminating decimal representation means that your number will have an infinite number of digits to the right of the decimal point.
There are two sorts of non-terminating decimal numbers:
2a) Recurring non-terminating decimals, example: 0.333333333333...
2b) Non-recurring non-terminating decimals, example: 0.414213562373095048801688...
----
So with this problem, if d is a non-repeating decimal, d must have more than 3 non-zero digits to the right of the decimal point (if not, d would be a repeating decimal) => (2) is sufficient?

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If the fraction d were converted into a decimal, would there   [#permalink] 11 Aug 2017, 04:07
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