GRE数学答案解析重要知识点

2022-05-29 16:51:31

  其实在利用

  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

  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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