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请教两题数学题...

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发表于 2010-3-26 15:57:13 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
Q16:

If n is a positive integer and r is the remainder when (n-1)(n+1) is divided by 24, what is the value of r?

(1)2 is not a factor of n.

(2)3 is not a factor of n.



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.

Answer: C





Q18:

Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m.By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?



A.k/m %

B.(k-m) %

C.[100(k-m)]/(100+k) %

D.[100(k-m)]/(100+m) %

E.[100(k-m)]/(100+k+m) %

Answer: D

字体颜色不知道为什么弄不成黑色的说...也不知道怎么左对齐的说~
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沙发
发表于 2010-3-26 16:09:30 | 只看该作者
Q16:

If n is a positive integer and r is the remainder when (n-1)(n+1) is divided by 24, what is the value of r?

(1)2 is not a factor of n.

(2)3 is not a factor of n.
条件一:如果n是奇数,则(n+1)、(n-1)都是偶数,又因为两个相邻的偶数肯定有一个是4的倍数,于是(n-1)(n+1) 可以被2*4=8整除,不充分
条件二:(n-1),n,(n+1)这三个数中必有一个可以被3整除的,而n不可以被3整除,所以(n-1)(n+1)肯定可以被3整除,单独也不充分
但合起来的话,就是可以被2*4*3=24整除了


Q18
last year: price/earning
today: price(1+k%)/earning(1+m%)
(today-last year)/(last year)=D
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