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DS

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by f2001290 » Wed Jun 13, 2007 1:40 am
In the decimal representation of x, where 0 < x < 1, is the tenths digit of x nonzero?
(1) 16x is an integer.
(2) 8x is an integer.

I went with B, but the OA doesn't go with me:)
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Re: DS

by bingojohn » Mon Aug 13, 2007 6:35 am
f2001290 wrote:In the decimal representation of x, where 0 < x < 1, is the tenths digit of x nonzero?
(1) 16x is an integer.
(2) 8x is an integer.

I went with B, but the OA doesn't go with me:)
What is the OA? I also get .

Statement 1:
For 16x to be an integer, such that 0 < x < 1,
16x < 16,

16x = 15, in which case tenth's digit of x is NOT 0.
OR, 16x = 1, in which case tenth's digit of x is 0.
NS.

Statement 1:
For 8x to be an integer, such that 0 < x < 1,
8x < 8.

Say, 8x = 7, in which case tenth's digit of x is NOT 0.
OR, 8x = 1, in which case tenth's digit of x is NOT 0.
Sufficient.
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by jay2007 » Mon Aug 13, 2007 3:30 pm
if we consider 8x=0.16, then we get the 10th digit as zero.

Is the answer E?
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Re: DS

by ratindasgupta » Tue Aug 14, 2007 12:56 am
f2001290 wrote:In the decimal representation of x, where 0 < x < 1, is the tenths digit of x nonzero?
(1) 16x is an integer.
(2) 8x is an integer.

I went with B, but the OA doesn't go with me:)
I think the answer is D.

(1) For 16x to be an integer, x has to be .5
(2) for 8x to be an integer, x again has to be .5

So tenth digit of x is a non zero.
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Re: DS

by bingojohn » Tue Aug 14, 2007 12:58 pm
ratindasgupta wrote:
f2001290 wrote:In the decimal representation of x, where 0 < x < 1, is the tenths digit of x nonzero?
(1) 16x is an integer.
(2) 8x is an integer.

I went with B, but the OA doesn't go with me:)
I think the answer is D.

(1) For 16x to be an integer, x has to be .5
(2) for 8x to be an integer, x again has to be .5

So tenth digit of x is a non zero.
Not necessarily.

x = .3125 yields 16x as an integer also.... !!
x = .625 yields 8x as an integer also... !!

The answer is as explained above in my earlier post.
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by bingojohn » Tue Aug 14, 2007 12:59 pm
jay2007 wrote:if we consider 8x=0.16, then we get the 10th digit as zero.

Is the answer E?
Statement (2) says 8x is an integer. 0.16 is not an integer. Tenths digit of 0.16 is not 0, it is 1.
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