Quantitative Reasoning Final Exam
1. What is 25% of 240?
A. 50
B. 60
C. 70
D. 80
Answer: B
Rationale: 25% = 0.25. Therefore, 0.25 × 240 = 60.
2. Solve: 3x + 5 = 20
A. 3
B. 4
C. 5
D. 6
Answer: C
Rationale: 3x = 15, so x = 5.
3. What is the ratio of 15 to 25 in simplest form?
A. 3:5
B. 5:3
C. 15:25
D. 25:15
Answer: A
Rationale: Divide both numbers by 5 to get 3:5.
4. Find the mean of 4, 6, 8, and 12.
A. 7
B. 7.5
C. 8
D. 9
Answer: B
Rationale: (4 + 6 + 8 + 12) ÷ 4 = 30 ÷ 4 = 7.5.
5. Simplify: 7²
A. 14
B. 28
,C. 49
D. 56
Answer: C
Rationale: 7 × 7 = 49.
6. Which fraction is equivalent to 0.75?
A. 1/2
B. 3/4
C. 2/5
D. 4/5
Answer: B
Rationale: 3 ÷ 4 = 0.75.
7. What is 18% of 150?
A. 24
B. 27
C. 30
D. 36
Answer: B
Rationale: 0.18 × 150 = 27.
8. Solve: 9 − (3 + 2)
A. 4
B. 5
C. 6
D. 7
Answer: A
Rationale: 3 + 2 = 5, then 9 − 5 = 4.
9. If a shirt costs $40 and is discounted by 20%, what is the sale price?
A. $28
B. $30
C. $32
D. $36
Answer: C
Rationale: Discount = 0.20 × 40 = 8; 40 − 8 = 32.
, 10. Find the median of 2, 5, 7, 9, 11.
A. 5
B. 7
C. 8
D. 9
Answer: B
Rationale: The middle value is 7.
11. 5/8 + 1/8 =
A. 3/4
B. 5/16
C. 6/8
D. 7/8
Answer: A
Rationale: 6/8 simplifies to 3/4.
12. What is √81?
A. 7
B. 8
C. 9
D. 10
Answer: C
Rationale: 9 × 9 = 81.
13. Solve: 4x = 36
A. 7
B. 8
C. 9
D. 10
Answer: C
Rationale: Divide both sides by 4.
14. A car travels 180 miles in 3 hours. What is its speed?
A. 50 mph
B. 55 mph
C. 60 mph
D. 65 mph
1. What is 25% of 240?
A. 50
B. 60
C. 70
D. 80
Answer: B
Rationale: 25% = 0.25. Therefore, 0.25 × 240 = 60.
2. Solve: 3x + 5 = 20
A. 3
B. 4
C. 5
D. 6
Answer: C
Rationale: 3x = 15, so x = 5.
3. What is the ratio of 15 to 25 in simplest form?
A. 3:5
B. 5:3
C. 15:25
D. 25:15
Answer: A
Rationale: Divide both numbers by 5 to get 3:5.
4. Find the mean of 4, 6, 8, and 12.
A. 7
B. 7.5
C. 8
D. 9
Answer: B
Rationale: (4 + 6 + 8 + 12) ÷ 4 = 30 ÷ 4 = 7.5.
5. Simplify: 7²
A. 14
B. 28
,C. 49
D. 56
Answer: C
Rationale: 7 × 7 = 49.
6. Which fraction is equivalent to 0.75?
A. 1/2
B. 3/4
C. 2/5
D. 4/5
Answer: B
Rationale: 3 ÷ 4 = 0.75.
7. What is 18% of 150?
A. 24
B. 27
C. 30
D. 36
Answer: B
Rationale: 0.18 × 150 = 27.
8. Solve: 9 − (3 + 2)
A. 4
B. 5
C. 6
D. 7
Answer: A
Rationale: 3 + 2 = 5, then 9 − 5 = 4.
9. If a shirt costs $40 and is discounted by 20%, what is the sale price?
A. $28
B. $30
C. $32
D. $36
Answer: C
Rationale: Discount = 0.20 × 40 = 8; 40 − 8 = 32.
, 10. Find the median of 2, 5, 7, 9, 11.
A. 5
B. 7
C. 8
D. 9
Answer: B
Rationale: The middle value is 7.
11. 5/8 + 1/8 =
A. 3/4
B. 5/16
C. 6/8
D. 7/8
Answer: A
Rationale: 6/8 simplifies to 3/4.
12. What is √81?
A. 7
B. 8
C. 9
D. 10
Answer: C
Rationale: 9 × 9 = 81.
13. Solve: 4x = 36
A. 7
B. 8
C. 9
D. 10
Answer: C
Rationale: Divide both sides by 4.
14. A car travels 180 miles in 3 hours. What is its speed?
A. 50 mph
B. 55 mph
C. 60 mph
D. 65 mph
