OAT Quantitative Reasoning and Math 3 — Questions and Answers
Question 1: What is the value of 4! + 3! − 2!?
- 28 (Correct answer)
- 30
- 26
- 32
Correct answer: 28
4! = 24, 3! = 6, 2! = 2; so 24 + 6 − 2 = 28.
Question 2: Two angles of a triangle are 45° and 75°. What is the measure of the third angle?
- 50°
- 60° (Correct answer)
- 70°
- 80°
Correct answer: 60°
The angles of a triangle sum to 180°; the third angle = 180° − 45° − 75° = 60°.
Question 3: What is the probability of rolling an odd number on a standard six-sided die?
- 1/6
- 1/3
- 1/2 (Correct answer)
- 2/3
Correct answer: 1/2
Odd numbers on a die are 1, 3, 5 — that's 3 out of 6 possible outcomes, so P = 1/2.
Question 4: Simplify: (x³ · x⁴) / x²
- x⁵ (Correct answer)
- x⁹
- x⁷
- x³
Correct answer: x⁵
Numerator: x³⁺⁴ = x⁷; then x⁷ ÷ x² = x⁷⁻² = x⁵.
Question 5: A car depreciates by 15% per year. If it is currently worth $20,000, what will it be worth after 2 years?
- $14,450 (Correct answer)
- $14,000
- $17,000
- $13,600
Correct answer: $14,450
After 2 years: $20,000 × (0.85)² = $20,000 × 0.7225 = $14,450.
Question 6: What is the median of the data set: {3, 7, 7, 2, 9, 1, 5}?
- 5 (Correct answer)
- 7
- 3
- 6
Correct answer: 5
Sorted: {1, 2, 3, 5, 7, 7, 9}; the middle (4th) value is 5.
Question 7: If the slope of line AB is 3/4, what is the slope of a line perpendicular to AB?
- 4/3
- −3/4
- −4/3 (Correct answer)
- 3/4
Correct answer: −4/3
The slope of a perpendicular line is the negative reciprocal of the original slope: −4/3.
OAT Quantitative Reasoning and Math 3
What is the value of 4! + 3! − 2!?