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

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Director
Joined: 29 Aug 2005
Posts: 817
In the decimal representation of x, where 0 < x < 1, [#permalink]

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13 Nov 2008, 09:45
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.

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Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown
Re: GMAT Set 29 -32 [#permalink]

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13 Nov 2008, 11:14
B

From stmt2: 0.099999999999 * 8 = .79 < 1 , so tenth's digit can't be zero
stmt1: x could be .0625 or .75
Manager
Joined: 23 Jul 2008
Posts: 181
Re: GMAT Set 29 -32 [#permalink]

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13 Nov 2008, 11:24
1
LiveStronger wrote:
B

From stmt2: 0.099999999999 * 8 = .79 < 1 , so tenth's digit can't be zero
stmt1: x could be .0625 or .75

IMO B Live stronger didn't really understand your approach

this is how i did it

1) 16x=I => possible values of x=1/16,2/16,3/16,.....15/16=.0625,.125 and so on hence tenth digit can be 0 or can t be 0 hence insuff
2) 8x=I => x=1/8,2/8,3/8 and so on or x= 0.125,0.25 and so on hence 10th place can never be 0 hence sufficient

Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown
Re: GMAT Set 29 -32 [#permalink]

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13 Nov 2008, 11:31
hibloom : I like your approach better
+1 for you

I looked at the maximum value of x when its tenth's digit is 0 and multiplied it by 8 and figured out that it comes out short of an integer
Manager
Joined: 08 Aug 2008
Posts: 226
Re: GMAT Set 29 -32 [#permalink]

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13 Nov 2008, 11:33
D.
if result is an integer, then decimal part must be .000
(1) if 16X is an integer, the tens digit has to be 2 or 7 and units digit 5.--sufficient
(2)if 8X is an integer, the tens digit again has to be 2 or 7 and units digit 5.--sufficient
Manager
Joined: 08 Aug 2008
Posts: 226
Re: GMAT Set 29 -32 [#permalink]

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13 Nov 2008, 11:38
my mistake.... din realise tenth is 1st digit after decimal....B is correct
prasun84 wrote:
D.
if result is an integer, then decimal part must be .000
(1) if 16X is an integer, the tens digit has to be 2 or 7 and units digit 5.--sufficient
(2)if 8X is an integer, the tens digit again has to be 2 or 7 and units digit 5.--sufficient

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: GMAT Set 29 -32   [#permalink] 13 Nov 2008, 11:38
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# In the decimal representation of x, where 0 < x < 1,

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