OAT Quantitative Reasoning and Math Questions and Answers

Question 1

Two hoses are used to fill a swimming pool.
Hose A, working alone, can fill the pool in 6 hours.
Hose B, working alone, can fill the pool in 9 hours.
If both hoses are used together, how long will it take to fill the pool?

Accepted Answer

3.6 hours

Answer

7.5 hours

Answer

4.5 hours

Answer

15 hours

Question 2

A circle is inscribed within a square that has a side length of 10 cm. What is the area of the region that is inside the square but outside the circle?

Accepted Answer

100 - 25π cm²

Answer

100 - 10π cm²

Answer

40 - 10π cm²

Answer

100 - 100π cm²

Question 3

A committee of 3 people is to be selected from a group of 10 people. How many different committees are possible?

Accepted Answer

120

Answer

720

Answer

30

Answer

90

Question 4

From a point on the ground 60 meters away from the base of a flagpole, the angle of elevation to the top of the flagpole is 40°. What is the approximate height of the flagpole?

Accepted Answer

50.3 meters

Answer

71.5 meters

Answer

38.6 meters

Answer

46.0 meters

Question 5

A data set consists of the following five numbers: 10, 15, 20, 25, 80. If the outlier, 80, is removed from the set, which of the following statements is true?

Accepted Answer

The mean will decrease, and the median will remain the same.

Answer

The mean will increase, and the median will decrease.

Answer

Both the mean and the median will decrease.

Answer

The mean will decrease, and the median will increase.

Question 6

Which of the following expressions is equivalent to (2x³y⁻²)² / (4x⁻¹y) ?

Accepted Answer

x⁷ / y⁵

Answer

x⁵ / y⁵

Answer

x⁷ / y³

Answer

x⁵ / y³

Two hoses are used to fill a swimming pool.Hose A, working alone, can fill the pool in 6 hours.Hose B, working alone, can fill the pool in 9 hours.If both hoses are used together, how long will it take to fill the pool?

Two hoses are used to fill a swimming pool.
Hose A, working alone, can fill the pool in 6 hours.
Hose B, working alone, can fill the pool in 9 hours.
If both hoses are used together, how long will it take to fill the pool?