# GRE Mathematics 1

The GRE mathematical reasoning section tests your knowledge of arithmetic, basic algebra, applied mathematics, elementary geometry, and common graphs and charts.

1. Ali paid $48 for a jacket that was on sale for 25% of the original price. What was the original price of the jacket? 2. If$pq \ne 0$and$p=\frac{1}{3}q$, then the ratio of$p$to$3q$is 3. When 20 is subtracted from$-4$the result is 4. If$x(y+z) = w$and$x$,$y$,$z$and$w$are all integers, which of the following must be true? 5. If$x$is an even integer and$y$is an odd integer, then which of the following is an even integer? 6. If$x^3 <x^2<x$then the value of$x$could be 7. Which of the following numbers does NOT satisfy the inequality$5x – 2 < 3x – 1$? 8.$ 5^2 + 12 ^2 = ?$9. If the areas of the three different sized faces of a rectangular solid are 6, 8, and 12, then what is the volume of the solid? 10. If$x$and$y$are both odd integers which of the following MUSt also be an odd integer? 11. Usman left home with$60 in his wallet. He spent $\frac{1}{3}$ of that amount at the supermarket, and he spent $\frac{1}{2}$ of what remained at the drugstore. If Usman made no other expenditures, how much money did he have when he returned back home?

12. If the square root of $x$ is greater than $x$ then $x$ could be

13. A salesperson works 50 weeks each year and makes an average of 100 sales per week. If each sale is worth an average of $1000, then what is the total value of sales made by the salesperson in a year? 14. If$n-5$is an even integer, what is the next larger consecutive even integer? 15. Which of the following can be expressed as the sum of three consecutive integers? 16. If a certain chemical costs$50 for 30 gallons, then how many gallons of the chemical can be purchased for $625? 17. If$2x + 3y = 8$, and$y = 2x$then what is the value of$x$? 18. If$x=1$and$y=-2$, then$\frac{x^2 – xy}{y}=\$?

The problem solving questions are typically word problem questions. These sort of questions are usually part of different competitive and ability tests.

Take another test: Sequence and Series