Plant Operator Selection System Mathematical Usage Problems Questions and Answers

Question 1

A cylindrical tank has a diameter of 20 feet and is filled with water to a height of 15 feet.
If 1 cubic foot of water is approximately 7.48 gallons, what is the total volume of water in the tank, in gallons?

Accepted Answer

35,238 gallons

Answer

4,712.4 gallons

Answer

141,372 gallons

Answer

18,849.6 gallons

Question 2

A pump is designed to move 250 gallons of fluid per minute (GPM). If the pump runs continuously for 3.5 hours, how many gallons of fluid will it move?

Accepted Answer

52,500 gallons

Answer

875 gallons

Answer

15,000 gallons

Answer

750 gallons

Question 3

Two gears in a machine have a size ratio of 5:2. If the larger gear has 90 teeth, how many teeth does the smaller gear have?

Accepted Answer

36 teeth

Answer

45 teeth

Answer

225 teeth

Answer

18 teeth

Question 4

A chemical solution needs to be mixed at a concentration of 15%. If the total volume of the final mixture is 200 liters, which of the following calculations correctly determines the volume of chemical required?

Accepted Answer

200 * 0.15

Answer

200 / 15

Answer

200 * 1.15

Answer

200 * 15

Question 5

A rectangular containment basin is 50 meters long, 25 meters wide, and 4 meters deep. If it is 75% full, what is the volume of the liquid in the basin in cubic meters?

Accepted Answer

3,750 cubic meters

Answer

5,000 cubic meters

Answer

1,250 cubic meters

Answer

7,500 cubic meters

Question 6

An operator needs to solve for X in the equation: 3(X + 4) = 21. What is the value of X?

Accepted Answer

3

Answer

9

Answer

5

Answer

1

A cylindrical tank has a diameter of 20 feet and is filled with water to a height of 15 feet.If 1 cubic foot of water is approximately 7.48 gallons, what is the total volume of water in the tank, in gallons?

A cylindrical tank has a diameter of 20 feet and is filled with water to a height of 15 feet.
If 1 cubic foot of water is approximately 7.48 gallons, what is the total volume of water in the tank, in gallons?