Magoosh GMAT Quantitative Diagnostic Test

Welcome to the Magoosh Quantitative diagnostic tests! We recommend taking both the Verbal and Quant tests together (go back to GMAT Diagnostic Tests to take the Verbal quiz).

The Quant diagnostic includes both Data Sufficiency and Problem Solving questions, and covers the most frequently tested GMAT Quant concepts. For real GMAT exam-like pacing, give yourself 25 minutes to complete this GMAT practice quiz; this will help ensure that the GMAT scores on this diagnostic test are accurate. There are 10 questions total. Let’s get started!

 

 

Question 1 of 10

1. QUESTION 1

A class contains boys and girls. What is the probability of selecting a boy from the class?

(1) there are 35 students in the class

(2) the ratio of boys to girls is 3:4

A.Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.

B.Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.

C.BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.

D.Each statement ALONE is sufficient to answer the question.

E.Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Question 1 of 10

Question 2 of 10

2. QUESTION 2

The Townville museum was open for 7 consecutive days. If the number of visitors each day was 3 greater than the previous day, how many visitors were there on the first day?

(1) There were a total of 126 visitors for the 7 days.

(2) The number of visitors on the seventh day was three times the number of visitors on the first day.

A.Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.

B.Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.

C.BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.

D.Each statement ALONE is sufficient to answer the question.

E.Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Question 2 of 10

Question 3 of 10

3. QUESTION 3

If AD = 3x, AE = 5x, EB = y and DC = 5y, what is the ratio of the area of triangle DEC to the area of rectangle ABCD ?

Note: Figure not drawn to scale

A.2:7

B.1:3

C.2:5

D.1:2

E.3:5

Question 3 of 10

Question 4 of 10

4. QUESTION 4

 At ABC Hardware the total cost of 1 paintbrush and 2 rolls of tape is $6.25. What is the price of one roll of tape?

(1) The price of one paintbrush is three times the price of one roll of tape.

(2) The total cost of 6 rolls of tape and 3 paintbrushes is $18.75.

A.Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.

B.Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.

C.BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.

D.Each statement ALONE is sufficient to answer the question.

E.Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Question 4 of 10

Question 5 of 10

5. QUESTION 5

If y = ^x⁄₅, then what is the ratio of 2x to 3y?

A.²⁄₁₅

B.³⁄₁₀

C.³⁄₂

D.¹⁰⁄₃

E.¹⁵⁄₂

Question 5 of 10

Question 6 of 10

6. QUESTION 6

For the first 5 hours of a trip, a plane averaged 120 kilometers per hour. For the remainder of the trip, the plane travelled an average speed of 180 kilometers per hour. If the average speed for the entire trip was 170 kilometers per hour, how many hours long was the entire trip?

A.15

B.20

C.25

D.30

E.35

Question 6 of 10

Question 7 of 10

7. QUESTION 7

Q = x³ − x

Given that x is a positive integer such that x ≥ 75, which of the following is the remainder when Q is divided by 6?

A.0

B.1

C.3

D.5

E.Cannot be determined by the information provided.

Question 7 of 10

Question 8 of 10

8. QUESTION 8

Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?

A.62

B.65

C.71

D.76

E.83

Question 8 of 10

Question 9 of 10

9. QUESTION 9

Is a positive?

(1) a⁶ > a

(2) a⁵ > a

A.Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.

B.Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.

C.BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.

D.Each statement ALONE is sufficient to answer the question.

E.Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Question 9 of 10

Question 10 of 10

10. QUESTION 10

Is x > 0?

(1) (x + y)² < (x - y)²(2) x + y < x - y

A.Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.

B.Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.

C.BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.

D.Each statement ALONE is sufficient to answer the question.

E.Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Question 10 of 10

If you want your results emailed to you please submit your email address. We will not share your email with anyone!

When you click “submit”, your results will be displayed on this page.

Your email address:

 Loading...

 

Diagnostic GMAT Scores, Answer Explanations, and Study Plan Recommendations

After you take the quiz, enter your email [optional] to get a copy of your Diagnostic GMAT scores along with answer explanations and custom recommendations for your GMAT exam prep. These recommendations divide test-takers into four different “buckets,” based on their abilities in both Quant and Verbal. These buckets are labeled Group 1, Group 2, Group 3, and Group 4. Each group comes with its own special recommendations for GMAT practice.

The GMAT prep recommendations will include a recommended study plan and additional tips and advice, based on your performance on the free GMAT practice tests. The study plans we assign to each score group are all three months long. This, typically, is the amount of prep time that most test-takers need in order to get excellent GMAT scores. With that in mind, if you feel three months isn’t the right timeline for you, you can pick a different study plan from the Magoosh GMAT exam study plan page.

How to Use these Free GMAT Practice Tests

As mentioned above, this GMAT Quant quiz should be taken with the GMAT Verbal Quiz, and you should follow the recommendations for your score group.

Beyond that, these quizzes are a great way to start identifying your strengths and weaknesses on the GMAT exam. Rather than simply looking at your score on these free GMAT practice tests, you should carefully examine exactly which questions you missed, and why. The answer explanations in the summary you receive at the end of the test can really help you understand which concepts are in play for each question, and can give you insight into the kinds of things you should be studying. You may find you need to focus on Data Sufficiency, or on algebra, or integer properties, and so on.

Above all, remember that the GMAT scores you get today are not the GMAT scores you’re stuck with. If you scored low on this diagnostic test, don’t feel bad! This test is meant to be a starting point toward your best possible GMAT scores. And that road to better scores includes many additional materials, such as full-length free GMAT practice tests from the Graduate Management Admissions Council, and other materials, both official and unofficial. Good luck on your road to GMAT exam success!

Ready for the Verbal diagnostic? Go back to GMAT Diagnostic Tests to take the Verbal quiz!

The post Magoosh GMAT Quantitative Diagnostic Test appeared first on Magoosh Blog — GMAT® Exam.