Data Sufficiency

试题详情

题目:

The annual rent collected by a corporation from a certain building was x percent more in 1998 than in 1997 and y percent less in 1999 than in 1998. Was the annual rent collected by the corporation from the building more in 1999 than in 1997?

(1)$$x > y$$

(2)$$frac{xy} {100}<{x}-{y}$$

选项:

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 statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D、 EACH statement ALONE is sufficient.
E、 Statements (1) and (2) TOGETHER are NOT sufficient.

答案:

B

提问:

老师我算的方法是:假设1997为a, 则1998的rent为a*(1+x),1999为a*(1+x)*(1-y),比较a 和a*(1+x)*(1-y),则是看(1+x)(1-y)也就是1-xy+x-y是否大于1. 条件一知道x-y>0,因为xy乘积是小数,所有1-xy+x-y>0,条件二知道x-y>xy/100,则因为x-y-xy应该是小于1,因为xy应该是个分数。。。所以我觉得都可以选了D
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