OAT Quantitative Reasoning and Math 4 — Questions and Answers
Question 1: What is 15% of 240?
- 30
- 36 (Correct answer)
- 40
- 48
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 2: The area of a circle is 49π cm². What is the circumference?
- 7π cm
- 14π cm (Correct answer)
- 28π cm
- 21π cm
Correct answer: 14π cm
Area = πr² = 49π, so r = 7 cm; circumference = 2πr = 14π cm.
Question 3: Solve for y: 2y/3 = 8
- 6
- 9
- 12 (Correct answer)
- 16
Correct answer: 12
Multiply both sides by 3/2: y = 8 × (3/2) = 12.
Question 4: In a group of 50 students, 30 study French and 20 study Spanish. If 10 study both, how many study neither?
- 10 (Correct answer)
- 5
- 15
- 0
Correct answer: 10
Using inclusion-exclusion: French ∪ Spanish = 30 + 20 − 10 = 40; neither = 50 − 40 = 10.
Question 5: What is the value of √(144/169)?
- 12/13 (Correct answer)
- 13/12
- 11/13
- 12/11
Correct answer: 12/13
√(144/169) = √144 / √169 = 12/13.
Question 6: A right triangle has legs of 5 and 12. What is the hypotenuse?
- 13 (Correct answer)
- 15
- 17
- 11
Correct answer: 13
Using the Pythagorean theorem: hypotenuse = √(5² + 12²) = √(25 + 144) = √169 = 13.
Question 7: If f(x) = 2x² − 3x + 1, what is f(−2)?
- 11
- 15 (Correct answer)
- −9
- 3
Correct answer: 15
f(−2) = 2(−2)² − 3(−2) + 1 = 2(4) + 6 + 1 = 8 + 6 + 1 = 15.
