Practice Test 11 - GRE Quantitative Reasoning

20 questions. Answer them in any order, then submit to see your score and every explanation.

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1. A bookstore sold 120 copies of a novel in January. In February, it sold 30% fewer copies than in January. In March, it sold 25% more copies than in February. How many copies did the bookstore sell in March?
2. A function $m$ is defined by $m(x)=|x-5|$. What is the value of $m(2)$?
3. A rectangle has length $x$ and width $y$. If both the length and width are tripled, by what factor does the area of the rectangle change?
4. A recipe calls for the ratio of flour to sugar to be $5:2$ by weight. If $300$ grams of flour are used, how many grams of sugar are needed?
5. A cone has radius 3 cm and height 12 cm. What is the volume of the cone, in cubic centimeters?
6. A runner uses energy at a constant rate of $95$ calories per mile. Approximately how many calories does the runner use over $6.4$ miles?
7. A farm tracked harvest amounts and revenue per ton for three crops. Table (Harvest and Price) Columns: Crop; Harvest (tons); Revenue per ton (USD/ton) Rows: - Wheat: 80; 220 - Corn: 60; 250 - Soy: 40; 400 Which crop produced the highest total revenue, and what was that revenue?
8. A circle has radius $7$ cm. What is the area of the circle, in square centimeters?
9. Real number $t$ satisfies $2(t-3)\le 4t+6$. For which value(s) of $t$ is the inequality true?
10. Two numbers are chosen without replacement from the set $\{1,2,3,4,5\}$. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices. Column A: The probability that the sum of the two numbers is even Column B: $\dfrac{1}{2}$
11. A price is increased from $80$ to $92$. The increase is what percent of the original price?
12. In the coordinate plane, point $M$ is at $(0,-3)$ and point $N$ is at $(6,-3)$. What is the distance between $M$ and $N$?
13. A function $t$ is defined by $t(x)=x^2-4$. What is the value of $t(a+1)$ in terms of $a$?
14. Integers $x$ and $y$ satisfy that $x+y$ is odd and $xy$ is even. Which of the following statements must be true?
15. If $x$ is a real number and $x^{1/3}=-2$, what is the value of $x^{4/3}$?
16. Which of the following is equal to $45\%$ of $\frac{2}{3}$?
17. A factory produced 300 units per day. After an upgrade, production increased by 60 units per day. By what percent did the factory's daily production increase, based on the original production?
18. A fair six-sided die is rolled once. Event $A$ is "the result is even" and event $B$ is "the result is greater than 4." What is $P(A\mid B)$?
19. A bookstore sold $\frac{3}{10}$ of its books on Monday and $40\%$ of its books on Tuesday, with no overlap between the days. What fraction of the books were sold on Monday and Tuesday combined?
20. Let $n$ be an integer. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices. Given: $n$ is divisible by $6$ Column A: $n$ is divisible by $12$ Column B: $n$ is divisible by $9$

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