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7月17GRE數(shù)學真題及答案
數(shù)學部分
直接計算題
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：題干問，某一年個人收入在$31,850到$77,100之間的稅收計算方式為$4,386加上超出$31,850部分的24%。問收入為$42,000的個人這一年需繳納多少稅?
所以我們可以得到所繳稅的計算方式=4386+24%*(42000-31850)=6822.
大小比較題
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
因為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
由題干得，x < y-2，所以x-y<-2
因此，(x-y)/2+1<0
則A
圖表理解題
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：題干要求變量X值的中位數(shù)，表格左側(cè)為數(shù)值，右側(cè)為出現(xiàn)次數(shù)。
因為總的次數(shù)=73，所以中位數(shù)是第37位，則落在數(shù)值3上。