FREE OFAI Mathematical Reasoning and Calculation Questions and Answers

Question 1

A standard 50-foot section of fire hose has an internal diameter of 2.5 inches.
Approximately how many gallons of water can this single section of hose hold when fully charged? (Note: 1 foot = 12 inches; 1 gallon ≈ 231 cubic inches)

Accepted Answer

12.8 gallons

Answer

25.5 gallons

Answer

6.4 gallons

Answer

51.0 gallons

Question 2

A pumper is drafting from a portable tank to supply an attack line flowing 250 gallons per minute (GPM). The portable tank has a capacity of 2,000 gallons. Assuming the tank is full and the pumper maintains a constant flow rate, how many minutes of water supply are available from the tank?

Accepted Answer

8 minutes

Answer

6 minutes

Answer

10 minutes

Answer

12 minutes

Question 3

A fire crew lays out 350 feet of 2.5-inch hose. The standard friction loss for this hose at the required flow rate is 12 PSI per 100 feet. What is the total friction loss that the pump operator must account for in this hose lay?

Accepted Answer

42 PSI

Answer

35 PSI

Answer

50 PSI

Answer

12 PSI

Question 4

A Self-Contained Breathing Apparatus (SCBA) cylinder is rated for a maximum pressure of 4500 PSI. Departmental policy states that a cylinder must be taken out of service if it falls below 90% of its rated pressure. What is the minimum pressure this cylinder can have to remain in service?

Accepted Answer

4050 PSI

Answer

3950 PSI

Answer

4150 PSI

Answer

4250 PSI

Question 5

During a training exercise, a firefighter starts with an SCBA pressure of 4300 PSI. After 10 minutes of moderate work, the remaining pressure is 2800 PSI. What was the firefighter's average rate of air consumption in PSI per minute?

Accepted Answer

150 PSI per minute

Answer

120 PSI per minute

Answer

280 PSI per minute

Answer

430 PSI per minute

Question 6

A fire truck's water tank has a capacity of 750 gallons. During a fire, the pump operator uses 60% of the tank's water before securing a connection to a hydrant. How many gallons of water were used from the tank?

Accepted Answer

450 gallons

Answer

300 gallons

Answer

400 gallons

Answer

500 gallons

A standard 50-foot section of fire hose has an internal diameter of 2.5 inches.Approximately how many gallons of water can this single section of hose hold when fully charged? (Note: 1 foot = 12 inches; 1 gallon ≈ 231 cubic inches)

A standard 50-foot section of fire hose has an internal diameter of 2.5 inches.
Approximately how many gallons of water can this single section of hose hold when fully charged? (Note: 1 foot = 12 inches; 1 gallon ≈ 231 cubic inches)