OAT Quantitative Reasoning 2

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?

Accepted Answer

84 mph

Answer

Total distance = 420 miles; total time = 5 hours; average speed = 420/5 = 84 mph.

Question 2

If log₂(x) = 5, what is the value of x?

Accepted Answer

32

Answer

log₂(x) = 5 means 2⁵ = x, so x = 32.

Question 3

A bag contains 4 red, 5 blue, and 6 green marbles. What is the probability of drawing 2 red marbles in a row without replacement?

Accepted Answer

2/35

Answer

P = (4/15) × (3/14) = 12/210 = 2/35.

Question 4

The sum of three consecutive even integers is 78. What is the largest of the three integers?

Accepted Answer

28

Answer

Let integers be n, n+2, n+4; 3n + 6 = 78 → n = 24, so the largest is 28.

Question 5

What is the area of a circle inscribed in a square with side length 10?

Accepted Answer

25π

Answer

The inscribed circle has radius = 5, so area = π(5)² = 25π.

OAT - Optometry Admission Test Practice Test