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数学题目,求指点 ,感谢感谢

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楼主
发表于 2012-12-2 12:07:23 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
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.
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.




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.




为嘛我感觉答案是E啊,网上很多有解释,可是如果x是0.5以及0.125的话,那么不就无法确定(1)(2)两个究竟是不是小数十分位是非零的么?


(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.




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.




为嘛我感觉答案是E啊,网上很多有解释,可是如果x是0.5以及0.125的话,那么不就无法确定(1)(2)两个究竟是不是小数十分位是非零的么?
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沙发
发表于 2012-12-2 14:51:01 | 只看该作者
答案是B
设有一个非零正整数a,
(1)x=a/16 ,0<x<16,所以0<a<16,如果x是1/16,x=0.0625,如果x是10/16,x=0.625,所以不确定x的十分位是否为0;
(2)x=a/8,0<x<8,所以0<a<8,a可以是1、2、3、4、5、6、7,对应的x分别是:0.125,0.25,0.375,0.5,0.625,0.75,0.875。所以x的十分位一定不为0。
板凳
 楼主| 发表于 2012-12-2 21:33:57 | 只看该作者
明白了,十分位的意思我没搞清楚。谢谢。
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