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

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Intern
Joined: 08 Nov 2008
Posts: 29
In the decimal representation of x, where 0 < x < 1, [#permalink]

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08 Nov 2008, 21:12
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.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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Manager
Joined: 30 Sep 2008
Posts: 111

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08 Nov 2008, 21:23
(1) 16x is an integer. => 16 divisible by 1/x (0 < x < 1) => x = 1/2,1/4,1/8,1/16

If x = 1/2,1/4,1/8, the tenths digit of x is nonzero
If x = 1/16 = 0.0625, the tenths digit of x is zero

insuff

(2) Similar to 8x => x = 1/2, 1/4, 1/8

The tenth digit of x is nonzero (suff)

Intern
Joined: 07 Nov 2008
Posts: 29

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08 Nov 2008, 21:42
(1) 16x is an integer. ---> let 16x be the minimum interger "1", x=0.0625, the tenths digit is 0, but when 16x is greater than 1, the tenths digit is not 0 ---> not suff
(2) 8x is an integer. ---> 8x=1, x=0.125, suff

B

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Re: decimal--29   [#permalink] 08 Nov 2008, 21:42
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# In the decimal representation of x, where 0 < x < 1,

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