GRE Quantitative Reasoning
Full Diagnostic Test
Total Time: 42 Minutes
Total Questions: 24
Instructions
• The test contains 2 sections.
• Each section has 12 questions and a time limit of 21 minutes.
• Answer all questions.
• For multiple-answer questions, select all correct answers.
Section 1 (21 Minutes)
1. If x = −2 and y = 6, find 3x + 2y.
A. 6
B. 8
C. 10
D. 12
E. 14
2. What is the remainder when 53 is divided by 5?
A. 1
B. 2
C. 3
D. 4
E. 5
3. Which are prime numbers? (Select all)
A. 21
B. 23
C. 29
D. 33
E. 37
4. Solve: 2x + 5 = 17
Answer:
1
5. If 23 of a number is 18, find the number.
A. 24
B. 27
C. 30
D. 36
E. 54
6. Ratio of boys to girls is 4:3. Total = 35. Girls = ?
A. 12
B. 15
C. 18
D. 20
E. 21
7. Compare:
Quantity A: 53
Quantity B: 35
A. A greater
B. B greater
C. Equal
D. Cannot determine
8. Area of triangle with base 8 and height 5:
A. 10
B. 20
C. 30
D. 40
E. 80
9. Mean of 3, 7, 9, and x is 8. Find x.
Answer:
10. Solutions of x2 = 25 (Select all)
A. -5
B. -3
C. 3
D. 5
E. 10
11. Circumference of circle with radius 7 (π = 22
7 ):
A. 22
B. 44
C. 49
2
D. 154
E. 308
12. Probability of NOT occurring if P = 74 :
A. 17
B. 27
C. 37
D. 47
E. 57
Section 2 (21 Minutes)
1. If x − 3 = 2y and y = 4, find x.
A. 5
B. 7
C. 9
D. 11
E. 13
2. What is the remainder when 210 is divided by 3?
A. 0
B. 1
C. 2
D. 3
E. 4
3. Which are divisible by 6? (Select all)
A. 18
B. 24
C. 30
D. 35
E. 42
4. Solve: x2 − 9 = 0
Answer:
5. A number increases by 20% and becomes 120. Original?
A. 80
B. 90
C. 100
D. 110
E. 120
6. Ratio x : y = 2 : 5, and x + y = 21. Find y.
3
A. 6
B. 9
C. 12
D. 15
E. 18
7. Compare:
√
Quantity A: 64
Quantity B: 23
A. A greater
B. B greater
C. Equal
D. Cannot determine
8. Distance between (1,2) and (4,6):
A. 3
B. 4
C. 5
D. 6
E. 7
9. Mean of 5 numbers is 12. Sum = ?
Answer:
10. Solutions of x2 = 9 (Select all)
A. -3
B. -1
C. 1
D. 3
E. 9
11. Volume of cube with side 4:
A. 16
B. 32
C. 48
D. 64
E. 128
12. Probability of getting head in one coin toss:
A. 0
B. 41
C. 12
D. 34
E. 1
4