GRE数学进阶题1
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2022-08-03
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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?
Indicate all such statements.
A. The price of the book was less than $9.50.
B. The price of the book was greater than $6.90.
C. The sales tax was less than $0.45.
2.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?
Give your answer as a fraction.
3.In the xy-plane, line k is a line that does not pass through the origin. Which of the following
statements individually provide(s) sufficient additional information to determine whether the
slope of line k is negative? Indicate all such statements.
A. The x-intercept of line k is twice the y-intercept of line k.
B. The product of the x-intercept and the y-intercept of line k is positive.
C. Line k passes through the points (a, b) and (r, s), where (a-r)(b-s) < 0.
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