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GMAT Math: Arithmetic Practice Test
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GMAT Math: Arithmetic Practice Test
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1. On the shelf of a flower shop are n vases, some of which contain 8 flowers and some of which contain 10 flowers. How many vases contain 10 flowers? (1)The total number of flowers is 136. (2)n = 15
2. What is the average of a, b, and c? (1)2a + 3b + 5c = 42 (2)4a + 3b + c = 30
3. Images
The preceding probability diagram represents the incidence of Internet failure during weather in which snow might occur. What is the probability that it snows and an Internet failure occurs?
4. A real estate agent has determined probabilities for two neighboring houses, one of which is a model home. The probability that the model home will be sold is 0.60; the probability that the house next door will be sold is 0.50; and the probability that both houses will be sold is 0.40. Find the probability that at least one of the two houses will be sold.
5. A box contains 7 black marbles, 6 green marbles, and 10 red marbles, all identical except for color. What is the probability of drawing a black or red marble when a single marble is drawn at random from the box?
Images
6. If a is an element of the set {12, 13, 15, 16, 18, 19, 21, 22}, what is the value of a? (1)a is a multiple of 3. (2)a is even.
7. Is a > 58? (1)57 < a < 59 (2)Images
8. Images
The residence status, by sex, of 250 senior students at a community college is shown in the preceding table. If one of the 250 students is randomly selected, what is the probability that the student resides on campus, given that the student selected is a male student? Express your answer as a decimal rounded to two places.
9. Images
The preceding line graph depicts the monthly sales from January to June for a small business. What is the greatest amount that the monthly sales in January could increase without changing the median?
10. Which expression is equivalent to Images?
Images,,,200
11. Images
Which fraction, when added to the previous sum, yields a sum of 0?
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12. How many different meal combinations consisting of one sandwich, one drink, and one type of chips are possible from a selection of eight types of sandwiches, five types of drinks, and seven types of chips?
13. 2, a2, …, 247
Suppose m is an integer such that 2 < m < 10. What is the units digit of m2? (1)The units digit of (m + 1)2 is 4. (2)The units digit of (m – 1)2 is 6.
14. Images
What is the tens digit in the dividend of the problem shown?
15. Suppose you randomly draw two marbles, successively without replacement, from a box containing 8 red marbles and 6 blue marbles. What is the probability of drawing a blue marble on the second draw, given that you drew a red marble on the first draw? (Assume the marbles are identical except for color.)
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16. If the square root of the product of two positive integers is 15, which number CANNOT be the sum of the two integers?
17. Seth is studying for his fourth 100-point test in an economics class. What score must he earn on this test to have an average (mean) of 90 for the four tests? (1)Seth has the following scores on the first three tests: 77, 91, and 94. (2)The average of Seth’s scores on the first and third tests is 85.5.
18. Images
The preceding circle graph displays a budget for a monthly income of $3,500 (after taxes). According to the graph, how much more money is budgeted for rent than for food and clothing combined?
19. Suppose n is an integer such that 2 < n2 < 100. If the units digit of n2 is 6 and the units digit of (n–1)2 is 5, what is the units digit of (n+1)2?
20. A quiz consists of 5 multiple-choice questions, each of which has 4 possible answer choices (A, B, C, and D), one of which is correct. Suppose that an unprepared student does not read the questions but simply makes a random guess for each question. What is the probability that the student will guess correctly on at least one question?
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21. Is xp a negative number? (1)x < 0 (2)p < 0
22. Given that x is a positive integer such that 19 divided by x has a remainder of 3, what is the sum of all the possible values of x?
23. Five people are to be seated in five identical chairs placed in a circle. How many different arrangements of the five people (relative to one another) in the five chairs are possible?
24. Set A consists of 20 numbers ranging from 1 to 10. Set B consists of 20 numbers ranging from 11 to 20. What is the average (arithmetic mean) of the 40 numbers in sets A and B combined? (1)The average of the numbers in Set A is 6.7. (2)the average of the numbers in Set B is 17.3.
25. In a video game, a player is faced with the task of moving from point A to point B to point C, and then returning from point C to point A through point B without retracing any path. There are 5 paths from point A to point B, and 8 paths from point B to point C. In how many different ways can the player accomplish the task?

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