# 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. If a certain chemical costs $50 for 30 gallons, then how many gallons of the chemical can be purchased for$625?

2. If $2x + 3y = 8$, and $y = 2x$ then what is the value of $x$?

3. If $pq \ne 0$ and $p=\frac{1}{3}q$, then the ratio of $p$ to $3q$ is

4. If $x$ is an even integer and $y$ is an odd integer, then which of the following is an even integer?

5. If $x(y+z) = w$ and $x$, $y$, $z$ and $w$ are all integers, which of the following must be true?

6. 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?

7. If $x=1$ and $y=-2$, then $\frac{x^2 – xy}{y}=$?

8. A salesperson works 50 weeks each year and makes an average of 100 sales per week. If each sale is worth an average of $1000, then what is the total value of sales made by the salesperson in a year? 9. If$n-5$is an even integer, what is the next larger consecutive even integer? 10. 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?

11. Which of the following numbers does NOT satisfy the inequality $5x – 2 < 3x – 1$?

12. If $x$ and $y$ are both odd integers which of the following MUSt also be an odd integer?

13. Ali paid $48 for a jacket that was on sale for 25% of the original price. What was the original price of the jacket? 14. Which of the following can be expressed as the sum of three consecutive integers? 15. When 20 is subtracted from$-4$the result is 16. If the square root of$x$is greater than$x$then$x$could be 17.$ 5^2 + 12 ^2 = ?$18. If$x^3 <x^2<x$then the value of$x\$ could be

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