gwd3-11

sophieMOON

Q11:

The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96.  What is the units digit of m?

(1)   m is odd.

(2) The hundreds digit of m is 8.

                  

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.



我的答案是D

我错了 应该是A, 请大家注意陷阱！

Shaple

哈哈, 很奇怪你会问什么问题, 结果一看是提示.

je04tta

for those who are wondering what's going on, and since i have nothing to do, 今天也灌了一天的水, 干点正事吧:

The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96.  What is the units digit of m?

(1)   m is odd.

(2) The hundreds digit of m is 8.

xyz => integer m, the product of x, y and z is 96, and we want to konw what z is

1) m is odd, since m is odd, that means z is odd; since x * y * z = 96 = 2 * 2 * 2 * 2 * 2 * 3, and z is odd, thus z has to be 3, thus 1) by itself is sufficient to know the answer

2) the hundres digit of m is 8 => so x = 8, since 96/8 = 12 = yz, z could be 2, 3, 4, 6, thus 2) by itself is not sufficient to know the answer

thus the anwser is a)

UMHIVTDC

感謝解題啦!!

doudoucc

It is really a nice question. Thanks for sharing.

emilyly

还是不明白？怎么就能把96分解成2*2*2*2*2*3？分解成别的不行吗？不懂。那位大虾在帮帮忙。谢了。

ozymen

根据条件1,要求一个奇数M的个位数是几,那么96分解后只有一种情况满足M是奇数这个可能,就是末位是3,十位百位没作要求,解毕.

sophieMOON

谢谢了