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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Decimals
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prachi18oct
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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....
GMAT assassins aren't born, they're made,
Rich
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....
GMAT assassins aren't born, they're made,
Rich
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nikhilgmat31
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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
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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theCEO
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What happens if the fraction x/8 = 17/8? What would be the decimal expression? And how may digits would the answer have?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
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nikhilgmat31
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Matt@VeritasPrep
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9/8 = 1.125
four nonzero digits there: the units digit, the tenths digit, the hundredths digit, and the thousandths digit
four nonzero digits there: the units digit, the tenths digit, the hundredths digit, and the thousandths digit
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nikhilgmat31
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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.
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.
