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Decimals

by prachi18oct » Thu Jun 18, 2015 2:57 pm
If x is an integer, does the decimal expression of the fraction x/8 have more than 3 non-zero digits?

(1) x is a digit
(2) x ≠­ 9

[spoiler]Dividing any number by 8 will not result in decimal expression with more than 3 non- zero digits. So shouldn't the OA be D?[/spoiler]
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Source: — Data Sufficiency |

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by [email protected] » Thu Jun 18, 2015 9:12 pm
Hi prachi18oct,

Have you considered the possibility that X could be GREATER than 8? Notice that the prompt does NOT state that the digits have to be to the "right" of the decimal point....

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by nikhilgmat31 » Fri Jun 26, 2015 3:26 am
Question clearly says decimal expression .

moreover
1/8 =.125
2/8 =.25
3/8 =.375
4/8 =.5
5/8 =.625
7/8 =.875
8/8 = 1

so statement is sufficient as it will never be greater than 3

statement 2 - x not equal to 9 is also sufficient as all integers divided by 8 will lead to less than 3 digit decimals .

answer is D
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by theCEO » Fri Jun 26, 2015 3:54 am
nikhilgmat31 wrote:Question clearly says decimal expression .

moreover
1/8 =.125
2/8 =.25
3/8 =.375
4/8 =.5
5/8 =.625
7/8 =.875
8/8 = 1

so statement is sufficient as it will never be greater than 3

statement 2 - x not equal to 9 is also sufficient as all integers divided by 8 will lead to less than 3 digit decimals .

answer is D
What happens if the fraction x/8 = 17/8? What would be the decimal expression? And how may digits would the answer have?
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by nikhilgmat31 » Mon Jun 29, 2015 12:19 am
I think number of decimal digits in 17/8 is same as 1/8 i.e. 0.125

3
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by theCEO » Mon Jun 29, 2015 2:23 am
nikhilgmat31 wrote:I think number of decimal digits in 17/8 is same as 1/8 i.e. 0.125

3
the question asks for non-zero digits not decimal digits
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by Matt@VeritasPrep » Mon Jun 29, 2015 4:14 pm
9/8 = 1.125

four nonzero digits there: the units digit, the tenths digit, the hundredths digit, and the thousandths digit
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by nikhilgmat31 » Tue Jun 30, 2015 11:09 pm
A) x is a digit

B) x not equal to 9

considering 1 statement alone x can 0,1,2,3,4,5,6,7,8,9. Dividing X by 8 will lead to
0 , .125,.25,.375,.5,.75,.675,1,1.125 which is both less than & greater than 3. so A is not sufficient

considering 2 statement alone x can be any value ,
x=17 then x/8 = 1.125 = 4 digits
x=4 then x/8 = .5 1 digit

so B is not sufficient

Cosidering both statement X can 1,2,3,4,5,6,7,8 so both statements combined are sufficient.

C is the answer.
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