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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 individual 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 individual 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A>B.
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+1<0
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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