FREE OAT Quantitative Reasoning Questions and Answers

Question 1

A biologist is monitoring the growth of a bacterial colony.
The colony starts with 500 bacteria and doubles every 30 minutes.
Which of the following equations best models the number of bacteria (N) after 't' hours?

Accepted Answer

N = 500 * 2^(2t)

Answer

N = 500 * 2^(t/2)

Answer

N = 500 * 2^(t)

Answer

N = 500 * (1 + 0.5)^t

Question 2

A car travels at an average speed of 60 miles per hour for the first 2 hours of a trip and then at an average speed of 40 miles per hour for the next 3 hours. What is the average speed of the car for the entire trip?

Accepted Answer

48 mph

Answer

50 mph

Answer

52 mph

Answer

54 mph

Question 3

If the price of a certain medication is increased by 20% and then decreased by 10% from the new price, what is the net percentage change in the price of the medication?

Accepted Answer

12% increase

Answer

8% increase

Answer

10% increase

Answer

8% decrease

Question 4

A certain type of cell divides into two identical cells every 4 hours. If an experiment starts with 100 cells, how many cells will there be after 12 hours?

Accepted Answer

1200

Answer

800

Answer

1600

Answer

2400

Question 5

Which of the following is equivalent to (x^2 - 4) / (x - 2), assuming x ≠ 2?

Accepted Answer

x + 2

Answer

x - 2

Answer

x^2 - 2

Answer

x + 4

Question 6

If 3 men can paint a house in 8 days, how many days will it take 6 men to paint the same house, assuming they work at the same rate?

Accepted Answer

4 days

Answer

2 days

Answer

8 days

Answer

16 days

A biologist is monitoring the growth of a bacterial colony.The colony starts with 500 bacteria and doubles every 30 minutes.Which of the following equations best models the number of bacteria (N) after 't' hours?

A biologist is monitoring the growth of a bacterial colony.
The colony starts with 500 bacteria and doubles every 30 minutes.
Which of the following equations best models the number of bacteria (N) after 't' hours?