FCTC FREE FCTC Numerical Reasoning Question and Answers 3 — Questions and Answers
Question 1: A fire engine travels 48 miles in 1 hour and 20 minutes. What is its average speed in miles per hour?
- 36 mph (Correct answer)
- 38 mph
- 40 mph
- 42 mph
Correct answer: 36 mph
1 hour 20 minutes = 4/3 hours; 48 ÷ (4/3) = 48 × (3/4) = 36 mph.
Question 2: A hose line delivers 125 gallons per minute. How many gallons are delivered in 36 minutes?
- 4,200 gallons
- 4,500 gallons (Correct answer)
- 4,750 gallons
- 5,000 gallons
Correct answer: 4,500 gallons
125 × 36 = 4,500 gallons.
Question 3: A ladder that is 35 feet long leans against a building. If the base is 7 feet from the wall, what percentage of the ladder's length is the base distance?
- 15%
- 20% (Correct answer)
- 25%
- 30%
Correct answer: 20%
7 ÷ 35 = 0.20, which equals 20%.
Question 4: A fire station has 3 shifts. Shift A responds to 42 calls per week, Shift B to 38, and Shift C to 40. What is the average number of calls per shift per week?
- 38
- 39
- 40 (Correct answer)
- 41
Correct answer: 40
(42 + 38 + 40) ÷ 3 = 120 ÷ 3 = 40 calls.
Question 5: A water tank holds 2,400 gallons. A pump drains it at 80 gallons per minute. How long will it take to empty the tank?
- 25 minutes
- 28 minutes
- 30 minutes (Correct answer)
- 32 minutes
Correct answer: 30 minutes
2,400 ÷ 80 = 30 minutes.
Question 6: If firefighter protective gear weighs 45 pounds and a firefighter carries an additional 30 pounds of equipment, what is the total load as a percentage of the firefighter's 200-pound body weight?
- 32.5%
- 35%
- 37.5% (Correct answer)
- 40%
Correct answer: 37.5%
(45 + 30) ÷ 200 = 75 ÷ 200 = 0.375 = 37.5%.
Question 7: A fire department purchased 6 sets of turnout gear at $1,850 each. What was the total cost?
- $10,500
- $11,100 (Correct answer)
- $11,500
- $12,000
Correct answer: $11,100
6 × $1,850 = $11,100.
FCTC FREE FCTC Numerical Reasoning Question and Answers 3
A fire engine travels 48 miles in 1 hour and 20 minutes.
What is its average speed in miles per hour?