NFSI Mathematical and Numeric Reasoning 4 — Questions and Answers
Question 1: A firefighter pumps water at 200 gallons per minute. A pool-supply reservoir holds 8,000 gallons. How many minutes will the reservoir last?
- 30 min
- 35 min
- 40 min (Correct answer)
- 45 min
Correct answer: 40 min
8,000 ÷ 200 = 40 minutes.
Question 2: A crew of 6 firefighters splits a workload equally. If the total workload is 270 units, how many units does each firefighter handle?
- 40
- 42
- 45 (Correct answer)
- 48
Correct answer: 45
270 ÷ 6 = 45 units each.
Question 3: A fire station runs 3 shifts of 24 hours each. If each shift has 8 firefighters, how many total firefighter-hours are worked in one full rotation?
- 448
- 512
- 576 (Correct answer)
- 624
Correct answer: 576
3 shifts × 24 hours × 8 firefighters = 576 firefighter-hours.
Question 4: Thermal imaging cameras cost $3,500 each. If a department buys 4 cameras and receives a 10% bulk discount, what is the total cost?
- $12,600 (Correct answer)
- $13,300
- $14,000
- $12,250
Correct answer: $12,600
4 × $3,500 = $14,000; 10% discount = $1,400; $14,000 − $1,400 = $12,600.
Question 5: A firefighter lifts a 45-pound hose bundle and carries it 120 feet in 30 seconds. What is the carrying speed in feet per second?
- 3 ft/s
- 4 ft/s (Correct answer)
- 5 ft/s
- 6 ft/s
Correct answer: 4 ft/s
120 ÷ 30 = 4 feet per second.
Question 6: A fire doubles in size every 2 minutes. If it starts at 500 square feet, how large is it after 6 minutes?
- 2,000 sq ft
- 3,000 sq ft
- 4,000 sq ft (Correct answer)
- 6,000 sq ft
Correct answer: 4,000 sq ft
After 2 min: 1,000; after 4 min: 2,000; after 6 min: 4,000 sq ft.
Question 7: A department spends $960 monthly on fuel. If fuel prices rise 12.5%, what will the new monthly fuel cost be?
- $1,020
- $1,050
- $1,080 (Correct answer)
- $1,100
Correct answer: $1,080
$960 × 1.125 = $1,080.
A firefighter pumps water at 200 gallons per minute.
A pool-supply reservoir holds 8,000 gallons.
How many minutes will the reservoir last?