备考GMAT考试数学练习题

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manyseconds will it take for a car that is traveling at a constant rate of 45 milesper hour to travel a distance of 116 yards? (1mile = 1,160 yards)

A. 8

B. 9

C. 10

D. 11

E. 12

参考答案：A

题目翻译：车速45迈，开116yards要几秒?

题目全解：116/((45*1160)/3600)=8

k is an integer and 2 < k <8, what is the value of k ?

(1) k is a factor of 30.

(2) k is a factor of 12.

E

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 TOGETHERare sufficient, but NEITHER statementALONE is sufficient.

D. EACH statement ALONE issufficient.

E. Statement (1) and statement (2) TOGETHER are NOT sufficient.

参考答案：E

题目翻译：k是2和8之间的整数，k的值是多少呢?1说k是30的'因子，2说k是12的因子。

题目全解：(1)k可为3,5,;

(2)k可为3,4,;

(1)+(2)，k可为3，。

15 homes in a new development areeach to be sold for one of three different prices so that the developerreceives an average (arithmetic mean) of $220,000 per home. If 4 of the homes are to be sold for $275,000each and 5 are to be sold for $200,000 each, what will be the selling price ofeach of the remaining 6 homes?

(A) $200,000

(B) $210,000

(C) $215,000

(D) $220,000

(E) $230,000

参考答案：A

题目翻译：15个房子要卖，三种不同价格，平均下来一个房子22万。4个卖27万5，5个卖20万。那剩下6个卖多少钱?

题目全解：(15*22-27.5*4-20*5)/6=20

any positive integer n, the lengthof n is defined as the number of prime factors whose product is n. For example, the length of 75 is 3, since 75= 3*5*5. How many two-digit positiveintegers have length 4 ?

(A) 9

(B) 11

(C) 12

(D) 14

(E) 15

参考答案：B

题目翻译：正数n的长度被定义为它质数因子的个数。多少两位数长度是4?

题目全解：

4个2：2*2*2*2=16; (1个)

3个2：2*2*2*3=24;2*2*2*5=40;2*2*2*7=56; 2*2*2*11=88; (4个)

2个2：2*2*3*3=36;2*2*3*5=60;2*2*3*7=84;(3个)

1个2：2*3*3*3=54;2*3*3*5=90;(2个)

0个2：3*3*3*3=81。(1个)

共11个。

m, r, x, and y are positive, is theratio of m to r equal to the ratio of x to y ?

(1) The ratio of m to y is equal tothe ratio of x to r.

(2) The ratio of m + r to x + y isequal to the ratio of x to 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 TOGETHERare sufficient, but NEITHER statementALONE is sufficient.

D. EACH statement ALONE issufficient.

E. Statement (1) and statement (2) TOGETHER are NOT sufficient.

参考答案：E

题目翻译：m,r,x都是整数，m和r的比值跟x和y的比值相等吗?

题目全解：(1)m/y=x/r,推不出，IN;

(2)(m+r)/(x+y)=x/y，推不出，IN;

(1)+(2),推不出，IN.