GRE数学习题1691

1. The total amount that Mary paid for a book was equal to the price of the book plus a sales tax

that was 4 percent of the price of the book. Mary paid for the book with a $10 bill and received the

correct change, which was less than $3.00. Which of the following statements must be true?

5. For the biological sciences and health sciences faculty combined, 1/3 of the female and 2/9 of

the male faculty members are tenured professors. What fraction of all the faculty members in those

two fields combined are tenured professors?

7. The company at which Mark is employed has 80 employees, each of whom has a different

salary. Mark’s salary of $43,700 is the second-highest salary in the first quartile of the 80 salaries.

If the company were to hire 8 new employees at salaries that are less than the lowest of the 80

salaries, what would Mark’s salary be with respect to the quartiles of the 88 salaries at the

12. Approximately what percent of the faculty in humanities are male?

13. Which of the following is closest to the average (arithmetic mean) of the 9 changes in the value

of imports between consecutive years from 2000 to 2009 ?

15. (1-x)/(x-1)=1/x

Quantity A：x

Quantity B：-1/2

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.