備考GMAT考試數學練習題

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　　1.How 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

　　參考答案：A

　　題目翻譯：車速45邁，開116yards要幾秒?

　　題目全解：116/((45*1160)/3600)=8

　　2.If 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.

　　參考答案：E

　　題目翻譯：k是2和8之間的'整數，k的值是多少呢?1說k是30的因子，2說k是12的因子。

　　題目全解：(1)k可為3,5,6.IN;

　　(2)k可為3,4,6.IN;

　　(1)+(2)，k可為3，6.IN。

　　3.The 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

　　參考答案：A

　　題目翻譯：15個房子要賣，三種不同價格，平均下來一個房子22萬。4個賣27萬5，5個賣20萬。那剩下6個賣多少錢?

　　題目全解：(15*22-27.5*4-20*5)/6=20

　　4.For 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

　　參考答案：B

　　題目翻譯：正數n的長度被定義為它質數因子的個數。多少兩位數長度是4?

　　題目全解：

　　4個2：2*2*2*2=16; (1個)

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

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

　　1個2：2*3*3*3=54;2*3*3*5=90;(2個)

　　0個2：3*3*3*3=81。(1個)

　　共11個。

　　5.If 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.

　　參考答案：E

　　題目翻譯：m,r,x都是整數，m和r的比值跟x和y的比值相等嗎?

　　題目全解：(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.

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