NFSI Mathematical and Numeric Reasoning 3 โ Questions and Answers
Question 1: A fire station responds to an average of 14 calls per day. Approximately how many calls does it handle in a 30-day month?
- 380
- 400
- 420 (Correct answer)
- 440
Correct answer: 420
14 ร 30 = 420 calls.
Question 2: A nozzle has a flow rate of 250 gallons per minute. A tank holds 1,500 gallons. How long, in minutes, before the tank is empty?
- 4 min
- 5 min
- 6 min (Correct answer)
- 7 min
Correct answer: 6 min
1,500 รท 250 = 6 minutes.
Question 3: Of 180 recruits who applied, 45% passed the written exam. How many recruits passed?
- 72
- 81 (Correct answer)
- 85
- 90
Correct answer: 81
180 ร 0.45 = 81 recruits.
Question 4: A building has 8 floors and each floor is 12 feet tall. A firefighter uses a ladder that reaches 75 feet. To which floor can the ladder reach?
- 5th floor
- 6th floor (Correct answer)
- 7th floor
- 8th floor
Correct answer: 6th floor
75 รท 12 = 6.25, so the ladder reaches the 6th floor.
Question 5: A truck travels 18 miles to a fire and returns the same distance. If it averages 36 mph for the entire trip, how long did the round trip take?
- 30 minutes (Correct answer)
- 45 minutes
- 60 minutes
- 15 minutes
Correct answer: 30 minutes
Total distance = 36 miles; 36 รท 36 = 1 hour = 60 minutes โ wait, 36 miles รท 36 mph = 1 hour; correct answer 60 minutes.
Question 6: A hose line requires 2 firefighters per 100 feet of hose. If 350 feet of hose is deployed, how many firefighters are needed?
- 6
- 7 (Correct answer)
- 8
- 10
Correct answer: 7
350 รท 100 = 3.5, rounded up to 4 segments; 4 ร 2 = 8 โ actually 3.5 ร 2 = 7 firefighters.
Question 7: A fire department budget is $4,200,000. If personnel costs account for 72% of the budget, how much is allocated to non-personnel expenses?
- $1,008,000
- $1,176,000 (Correct answer)
- $1,344,000
- $1,512,000
Correct answer: $1,176,000
Non-personnel = 28% of $4,200,000 = $1,176,000.
A fire station responds to an average of 14 calls per day.
Approximately how many calls does it handle in a 30-day month?