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7月17GRE数学真题及答案

数学部分

直接计算题

1. According to a tax rate formula for a certain year, the amount of tax owed by an inpidual whose annual income was between $31,850 and $77,100 was equal to a base tax of $4,386 plus 24 percent of the annual income that exceeded $31,850. According to this formula, what was the amount of tax owed by an inpidual whose annual income that year was $42,000?

答案：6822

解析：题干问，某一年个人收入在$31,850到$77,100之间的税收计算方式为$4,386加上超出$31,850部分的24%。问收入为$42,000的个人这一年需缴纳多少税?

所以我们可以得到所缴税的计算方式=4386+24%*(42000-31850)=6822.

大小比较题

2. x=2, y=3,z=5

Quantity A: x^-1*y*z^-2

Quantity B: (y/xz)^2

A. Quantity A is GREater.

B. Quantity B is greater.

C. The two quantities are equal

D. The relationship cannot be determined from the information given.

答案：A

解析：A的值= x^-1 * y * z^-2=1/2*3* 1/25=3/50

B的值= =(y/xz)^2=9/100

因为A=0.06,而B=0.09，所以AB.

3. x y-2

Quantity A: The average (arithmetic mean) of x and y

Quantity B: y-1

A. Quantity A is greater.

B. Quantity B is greater.

C. The two quantities are equal

D. The relationship cannot be determined from the information given.

答案：B

解析：A的值=(x+y)/2， B的值=y-1.

所以A-B=x/2+y/2-y+1=(x-y)/2+1

由题干得，x y-2，所以x-y-2

因此，(x-y)/2+10

则A

图表理解题

4.

X

Frequency

0

6

1

11

2

18

3

23

4

15

The table shows the frequency distribution of the random variable X. What is the median of the distribution of the values of X ?

A. 1.0

B. 1.8

C. 2.0

D. 2.5

E 3.0

答案：E

解析：题干要求变量X值的中位数，表格左侧为数值，右侧为出现次数。

因为总的次数=73，所以中位数是第37位，则落在数值3上。

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