求助GWD的数学题，万分感谢！！！

Q26:B 

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.

Q32:E

What is the remainder when the positive integer x is divided by 8?

(1)     When x is divided by 12, the remainder is 5.

(2)     When x is divided by 18, the remainder is 11.

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.

LS MM万福

Q26:B 

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.

x=0.1a+0.01b+0.001c+......

16x=1.6a+0.16(b+0.1c+0.01d+......)

式中括号内取值范围为0到9.9999999999999999,若a是0，则需0.16(b+0.1c+0.01d+......)为整数，可以在取值范围内找到6.25,若a是0，假设括号内值为0，a取5也可以满足，故不能确定；

而8x=0.8a+0.08(b+0.1c+0.01d+......),0.08(b+0.1c+0.01d+......)最大值小于0.8，故8x为整数的话，a不能为0