OAT Quantitative Reasoning and Math 2 — Questions and Answers
Question 1: A train travels 240 miles in 3 hours, then 180 miles in 2 hours. What is the average speed for the entire trip?
- 84 mph (Correct answer)
- 84.6 mph
- 84 mph
- 84 mph
Correct answer: 84 mph
Total distance = 420 miles, total time = 5 hours, so average speed = 420/5 = 84 mph.
Question 2: If log₂(x) = 5, what is the value of x?
- 10
- 25
- 32 (Correct answer)
- 64
Correct answer: 32
log₂(x) = 5 means 2⁵ = x, so x = 32.
Question 3: A cylinder has a radius of 4 cm and height of 10 cm. What is its volume in cm³?
- 160π (Correct answer)
- 40π
- 80π
- 320π
Correct answer: 160π
Volume = πr²h = π(4²)(10) = 160π cm³.
Question 4: What is the sum of the interior angles of a hexagon?
- 540°
- 720° (Correct answer)
- 900°
- 1080°
Correct answer: 720°
The sum of interior angles of an n-gon = (n−2)×180°; for a hexagon: (6−2)×180° = 720°.
Question 5: If 3x − 7 = 2x + 5, what is the value of x?
- 2
- 12 (Correct answer)
- −12
- −2
Correct answer: 12
Subtracting 2x from both sides gives x − 7 = 5, so x = 12.
Question 6: A rectangular room is 15 ft long and 12 ft wide. What is the length of the diagonal?
- 18 ft
- 19.2 ft (Correct answer)
- 20 ft
- 17 ft
Correct answer: 19.2 ft
Using the Pythagorean theorem: diagonal = √(15² + 12²) = √(225 + 144) = √369 ≈ 19.2 ft.
Question 7: A store sells a jacket at a 30% discount, then applies an additional 10% discount to the sale price. What is the total percent discount from the original price?
- 37% (Correct answer)
- 40%
- 35%
- 33%
Correct answer: 37%
After 30% off, you pay 70%; after 10% more off, you pay 63%, meaning a total discount of 37%.
OAT Quantitative Reasoning and Math 2
A train travels 240 miles in 3 hours, then 180 miles in 2 hours.
What is the average speed for the entire trip?