FCTC FREE FCTC Numerical Reasoning Question and Answers 5 — Questions and Answers
Question 1: A ladder crew raises a 24-foot extension ladder to reach a window that is 18 feet above the ground. What fraction of the ladder's total length is used?
- 1/2
- 2/3
- 3/4 (Correct answer)
- 4/5
Correct answer: 3/4
18 ÷ 24 = 3/4 of the ladder is used.
Question 2: An engine company uses 350 gallons of water fighting a car fire that lasted 14 minutes. What was the average water flow rate?
- 22 gpm
- 25 gpm (Correct answer)
- 28 gpm
- 30 gpm
Correct answer: 25 gpm
350 ÷ 14 = 25 gallons per minute.
Question 3: A department budget of $540,000 allocates 35% for equipment, 45% for personnel, and the rest for training. How much is allocated for training?
- $96,000
- $100,000
- $108,000 (Correct answer)
- $112,000
Correct answer: $108,000
100% − 35% − 45% = 20%; $540,000 × 0.20 = $108,000.
Question 4: A firefighter completes a 1.5-mile fitness run in 12 minutes. What is the firefighter's pace in minutes per mile?
- 7 min/mile
- 7.5 min/mile
- 8 min/mile (Correct answer)
- 8.5 min/mile
Correct answer: 8 min/mile
12 ÷ 1.5 = 8 minutes per mile.
Question 5: A fire station purchases 4 radios at $380 each and receives a 10% bulk discount. What is the final cost?
- $1,296
- $1,368 (Correct answer)
- $1,400
- $1,520
Correct answer: $1,368
4 × $380 = $1,520; $1,520 × 0.90 = $1,368.
Question 6: Three firefighters together can move 540 pounds of debris in 6 minutes. At this rate, how many pounds can they move in 10 minutes?
- 750 pounds
- 800 pounds
- 850 pounds
- 900 pounds (Correct answer)
Correct answer: 900 pounds
Rate = 540 ÷ 6 = 90 pounds/minute; 90 × 10 = 900 pounds.
Question 7: A fire district covers 144 square miles and has 12 fire stations. If each station covers an equal area, how many square miles does each station cover?
- 10 sq miles
- 11 sq miles
- 12 sq miles (Correct answer)
- 13 sq miles
Correct answer: 12 sq miles
144 ÷ 12 = 12 square miles per station.
FCTC FREE FCTC Numerical Reasoning Question and Answers 5
A ladder crew raises a 24-foot extension ladder to reach a window that is 18 feet above the ground.
What fraction of the ladder's total length is used?