FCTC FREE FCTC Numerical Reasoning Question and Answers 2

Question 1

A firefighter earns $52,000 per year. If they receive a 4.5% raise, what is their new annual salary?

Accepted Answer

$54,340

Answer

$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?

Accepted Answer

100.2 feet

Answer

√(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?

Accepted Answer

52

Answer

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?

Accepted Answer

24,975

Answer

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?

Accepted Answer

$960,000

Answer

Operations = 100% − 38% − 22% = 40%; $2,400,000 × 0.40 = $960,000.

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FCTC FREE FCTC Numerical Reasoning Question and Answers 2