DAT Practice Test (Quantitative Reasoning) 2 — Questions and Answers
Question 1: If 3x - 7 = 2x + 5, what is the value of x?
- 12 (Correct answer)
- 5
- -2
- 2
Correct answer: 12
Subtracting 2x from both sides gives x - 7 = 5, so x = 12.
Question 2: What is 35% of 240?
- 84 (Correct answer)
- 72
- 96
- 68
Correct answer: 84
0.35 × 240 = 84.
Question 3: A recipe uses 2 cups of flour for every 3 cups of sugar. How many cups of flour are needed for 12 cups of sugar?
- 8 (Correct answer)
- 6
- 9
- 18
Correct answer: 8
The ratio scales by 4 (12 ÷ 3), so flour = 2 × 4 = 8 cups.
Question 4: What is the area of a triangle with base 10 and height 6?
- 30 (Correct answer)
- 60
- 16
- 32
Correct answer: 30
Area = ½ × base × height = ½ × 10 × 6 = 30.
Question 5: Simplify: (3/4) ÷ (1/2).
- 3/2 (Correct answer)
- 3/8
- 2/3
- 5/4
Correct answer: 3/2
Dividing by 1/2 means multiplying by 2: (3/4) × 2 = 3/2.
Question 6: A car travels 180 miles in 3 hours. What is its average speed in miles per hour?
- 60 (Correct answer)
- 54
- 45
- 90
Correct answer: 60
Speed = distance ÷ time = 180 ÷ 3 = 60 mph.
Question 7: If a number is increased by 20% to become 96, what was the original number?
- 80 (Correct answer)
- 76
- 84
- 115.2
Correct answer: 80
96 ÷ 1.20 = 80.
DAT Practice Test (Quantitative Reasoning) 2
If 3x - 7 = 2x + 5, what is the value of x?