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# In the decimal representation of x, where 0 < x < 1,

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In the decimal representation of x, where 0 < x < 1, [#permalink]

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15 Sep 2008, 09:50
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In the decimal representation of x, where 0 < x < 1, is the tenths digit if x nonzero?
(1) 16x is an integer.
(2) 8x is an integer.

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SVP
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15 Sep 2008, 10:31
vivektripathi wrote:
In the decimal representation of x, where 0 < x < 1, is the tenths digit if x nonzero?
(1) 16x is an integer.
(2) 8x is an integer.

B. Thats B cuz smallest integer is 1. for 8x to be an integer, x can not be smaller than 1/8 or
0.125. so the tenth digit of x is a 0.

for st 1, x could be 0.5 or 0.125 or 0.0625 or some more fractions..
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VP
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17 Sep 2008, 10:42
vivektripathi wrote:
In the decimal representation of x, where 0 < x < 1, is the tenths digit if x nonzero?
(1) 16x is an integer.
(2) 8x is an integer.

1)since 16x is an integer , 1/x is a factor of 16 then 1/x = 2,4,8,16
=> x= 0.5,0.25,0.125,0.0625 INSUFFI
2)since 8x i an integer => x=0.5,0.25,0.125 => tenths digit =nonzero for sure IMO B
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17 Sep 2008, 10:47
minimum value of x 1/8 =0.125... any value >0.125 and <1 ... 10ths digit is non zero..

so. B.
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Re: DS - Integer   [#permalink] 17 Sep 2008, 10:47
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