OAT Quantitative Reasoning and Math 3

Question 1

What is the value of 4! + 3! − 2!?

Accepted Answer

28

Answer

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?

Accepted Answer

60°

Answer

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?

Accepted Answer

1/2

Answer

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

Accepted Answer

x⁵

Answer

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?

Accepted Answer

$14,450

Answer

After 2 years: $20,000 × (0.85)² = $20,000 × 0.7225 = $14,450.

OAT - Optometry Admission Test Practice Test