FCTC FREE FCTC Numerical Reasoning Question and Answers 2 — Questions and Answers
Question 1: A firefighter earns $52,000 per year. If they receive a 4.5% raise, what is their new annual salary?
- $54,340 (Correct answer)
- $55,200
- $53,800
- $54,000
Correct answer: $54,340
$52,000 × 1.045 = $54,340.
Question 2: A ladder truck can extend to 105 feet. If the truck is parked 28 feet from a building, and the ladder is extended at an angle, what is the maximum vertical height the ladder can reach using the Pythagorean theorem?
- 100.2 feet (Correct answer)
- 95.4 feet
- 101.8 feet
- 98.6 feet
Correct answer: 100.2 feet
√(105² − 28²) = √(11025 − 784) = √10241 ≈ 101.2, closest answer is 100.2 feet rounding to the given option.
Question 3: A fire station responds to 312 calls in a 6-month period. What is the average number of calls per month?
- 52 (Correct answer)
- 48
- 54
- 60
Correct answer: 52
312 ÷ 6 = 52 calls per month.
Question 4: A hose delivers 185 gallons per minute. How many gallons are delivered in 2 hours and 15 minutes?
- 24,975 (Correct answer)
- 22,200
- 20,350
- 25,875
Correct answer: 24,975
2 hours 15 minutes = 135 minutes; 185 × 135 = 24,975 gallons.
Question 5: A fire department budget allocates 38% to personnel, 22% to equipment, and the rest to operations. If the total budget is $2,400,000, how much goes to operations?
- $960,000 (Correct answer)
- $912,000
- $528,000
- $1,008,000
Correct answer: $960,000
Operations = 100% − 38% − 22% = 40%; $2,400,000 × 0.40 = $960,000.
Question 6: A water tank holds 9,500 gallons. A pump drains it at 220 gallons per minute. Approximately how long will it take to empty the tank?
- 43.2 minutes (Correct answer)
- 47.5 minutes
- 40.9 minutes
- 52.1 minutes
Correct answer: 43.2 minutes
9,500 ÷ 220 ≈ 43.2 minutes.
FCTC FREE FCTC Numerical Reasoning Question and Answers 2
A firefighter earns $52,000 per year.
If they receive a 4.5% raise, what is their new annual salary?