OAT OAT: Quantitative Reasoning Questions and Answers

Question 1

Two individuals, Alex and Ben, are tasked with painting a fence.
Alex can paint the entire fence alone in 6 hours, while Ben can paint the same fence alone in 4 hours.
If they work together, how long will it take them to paint the fence?

Accepted Answer

2 hours and 24 minutes

Answer

5 hours

Answer

2 hours and 30 minutes

Answer

3 hours and 12 minutes

Question 2

A circular dartboard has a radius of 10 inches. The bullseye in the center is also a circle and has a radius of 2 inches. What is the area of the dartboard that is outside of the bullseye?

Accepted Answer

96π sq. in.

Answer

104π sq. in.

Answer

64π sq. in.

Answer

8π sq. in.

Question 3

A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If two marbles are drawn from the bag at random without replacement, what is the probability that both marbles are blue?

Accepted Answer

1/11

Answer

1/12

Answer

1/9

Answer

4/33

Question 4

A 20-foot ladder leans against a vertical wall, with its base positioned 12 feet away from the bottom of the wall. What is the cosine of the angle that the ladder makes with the ground?

Accepted Answer

3/5

Answer

4/5

Answer

3/4

Answer

5/3

Question 5

Which of the following is the correct solution for x in the equation log₃(x + 5) = 2?

Accepted Answer

4

Answer

1

Answer

13

Answer

3

Question 6

A retail item originally priced at $80 is put on sale for $68. What is the percent decrease in the price of the item?

Accepted Answer

15%

Answer

12%

Answer

17.6%

Answer

85%

Two individuals, Alex and Ben, are tasked with painting a fence.Alex can paint the entire fence alone in 6 hours, while Ben can paint the same fence alone in 4 hours.If they work together, how long will it take them to paint the fence?

Two individuals, Alex and Ben, are tasked with painting a fence.
Alex can paint the entire fence alone in 6 hours, while Ben can paint the same fence alone in 4 hours.
If they work together, how long will it take them to paint the fence?