NFSI Mathematical and Numeric Reasoning 5 — Questions and Answers
Question 1: A fire scene requires 4 engine companies, each with 5 personnel. If 3 of the personnel are officers, how many non-officer personnel are on scene?
- 14
- 17 (Correct answer)
- 20
- 23
Correct answer: 17
Total = 4 × 5 = 20; non-officers = 20 − 3 = 17.
Question 2: A fire engine travels at 55 mph and must reach an incident 11 miles away. Approximately how many minutes will it take?
- 10 min
- 12 min (Correct answer)
- 14 min
- 16 min
Correct answer: 12 min
11 ÷ 55 = 0.2 hours = 12 minutes.
Question 3: During training, a recruit correctly answers 84 of 120 questions. What is the recruit's score as a percentage?
- 68%
- 70% (Correct answer)
- 72%
- 75%
Correct answer: 70%
84 ÷ 120 = 0.70 = 70%.
Question 4: A fire department's response time averages 5.4 minutes. New protocols aim to cut that time by 15%. What is the target response time?
- 4.49 min
- 4.59 min (Correct answer)
- 4.69 min
- 4.79 min
Correct answer: 4.59 min
5.4 × 0.85 = 4.59 minutes.
Question 5: A hose weighs 1.8 pounds per foot. How much does 250 feet of hose weigh?
- 400 lbs
- 420 lbs
- 440 lbs
- 450 lbs (Correct answer)
Correct answer: 450 lbs
1.8 × 250 = 450 pounds.
Question 6: A building's floor has an area of 6,400 square feet. If the building is square-shaped, what is the length of one side?
- 70 ft
- 75 ft
- 80 ft (Correct answer)
- 85 ft
Correct answer: 80 ft
√6,400 = 80 feet per side.
Question 7: A station receives 5 supply deliveries per month, each containing 48 air cylinders. If each cylinder costs $85, what is the monthly supply cost for cylinders?
- $18,400
- $19,600
- $20,400 (Correct answer)
- $22,000
Correct answer: $20,400
5 × 48 × $85 = $20,400.
A fire scene requires 4 engine companies, each with 5 personnel.
If 3 of the personnel are officers, how many non-officer personnel are on scene?