GMAT综合推理题 放平心态应对复杂函数

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今日练习题为综合推理题，题目如下

Over a period of 5 academic years from Fall 1999 through Spring 2004, the

number of faculty at a certain college increased despite a decrease in student

enrollment from 5,500 students in Fall 1999.

In the given expressions, F and S represent the percent change in the number

of faculty and students, respectively, over the 5 academic years,

and R represents the number of students per faculty member in Fall 1999. The

percent change in a quantity X is calculated using the formula

Select the expression that represents the number of faculty in Fall 1999, and

select the expression that represents the number of students per faculty member

in Spring 2004. Make only two selections, one in each column.

1. Students per faculty member in Spring 2004

A. 5500R B. 5500/R C. 1/R D. (100+S)/(100+F)*R E. (100-S)/(100+F)*R F.

(100+F)/(100-S)*R

2. Number of faculty in Fall 1999

A. 5500R B. 5500/R C. 1/R D. (100+S)/(100+F)*R E. (100-S)/(100+F)*R F.

(100+F)/(100-S)*R

正确答案：

B D

解题思路：

1. 1999年有5500个学生，R是1999年的平均每个系的学生，故R=5500/系数量，即系数量=5500/R

2.

从定义上，R=学生数/系数量，故2004年的新R/1999年的R=(1+S%)/(1+F%)，移项得到新的R=(100+S)/(100+F)*R