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

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

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New post 08 Nov 2008, 21:12
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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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Re: decimal--29 [#permalink]

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New post 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)

Answer: B

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Re: decimal--29 [#permalink]

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New post 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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