做GWD 真的错好多。。。拜托大家帮我解一下^_^                  数学小笨在此有礼了！     

   Q4:

If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2ⁱ3^k5^m7^p, then i + k + m + p =

A.     4  B.     7  C.     8  D.     11     E.      12

  谢谢 答案是e呢

Q9:

If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8?

 A: 1/4   B: 3/8     C 1/2     D 5/8       E 3/4                 KEY IS :    D  why ??

Q11:

If n and k are positive integers, is n divisible by 6?

(1)     n = k(k + 1)(k - 1)

(2)     k – 1 is a multiple of 3.

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.

key: A

Q14:

99,999² - 1² =

B.     (10⁵ – 2)²

C.     10⁴(10⁵ – 2)

D.     10⁵(10⁴ – 2)

E.      10⁵(10⁵ – 2)

key: E

Q29:

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)     xy/ 100< x – y

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.

KEY: B

A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour.  At what speed, in kilometers per hour, is the car traveling?

A.     71.5  B.     72   C.     72.5    D.     73               E.      73.5

这个我最后算得：1800/23   yet key is B

好痛苦哦。。。。

   还有这几个。。。抱歉麻烦大侠了^-^

请大家帮一下忙吧    谢谢了^-^

当时我做的时候，我是用这个方法：２，３，４，５，６，７，８

可以发现２有７个，３有２个，５有１个，７有１个．再加起来．．．

只有当n为奇数，且n+1非8及8的倍数时，n(n + 1)(n + 2)不能被8整除。

1-96中奇数有48个，n+1是8的倍数的有96/8=12个，所以[96-（48-12）]/96=5/8

选A有什么疑问？

连续三个整数中必有一个偶数，及能被3整除的数，所以能被6整除。

选A有什么疑问？

连续三个整数中必有一个偶数，及能被3整除的数，所以能被6整除。

Q29:

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)     xy/ 100< x – y

设1997年 annual rent 为R，则，98年为(1+x%)R,99年为(1+x%)(1-y%)R

问是否(1+x%)(1-y%)R/R-1>0

即是否(1+x%)(1-y%)-1>0

        1+x%-y%-x%*y%-1>0

x%-y%>x%*y%

x-y>xy/100

所以选B

毛毛虫小姐^-^  那个第4题，既然2i  是要在1--8 之间的，那么i 不就只能取 1--3 咯？怎么会跑出7呢？万分感谢……

hitlzc  我改过来了^-^

谢谢你的解答