FCTC Numerical Reasoning 4 — Questions and Answers
Question 1: A fire hose discharges water at 125 gallons per minute. How many gallons are discharged in 36 minutes?
- 4,200
- 4,500 (Correct answer)
- 4,050
- 4,750
Correct answer: 4,500
125 × 36 = 4,500 gallons.
Question 2: A ladder truck is 42 feet long. If 3 ladder trucks are parked end to end, what is the total length in yards?
- 42 yards (Correct answer)
- 126 yards
- 14 yards
- 378 yards
Correct answer: 42 yards
3 × 42 = 126 feet ÷ 3 = 42 yards.
Question 3: A firefighter earns $52,800 per year. What is the monthly salary?
- $4,000
- $4,200
- $4,400 (Correct answer)
- $4,600
Correct answer: $4,400
$52,800 ÷ 12 = $4,400 per month.
Question 4: A water tank holds 3,600 gallons and is 75% full. How many gallons are needed to fill it completely?
- 2,700
- 1,800
- 900 (Correct answer)
- 1,200
Correct answer: 900
75% of 3,600 = 2,700 gallons present; 3,600 − 2,700 = 900 gallons needed.
Question 5: If 4 firefighters can complete a ventilation task in 20 minutes, how long would it take 5 firefighters working at the same rate?
- 25 minutes
- 16 minutes (Correct answer)
- 15 minutes
- 12 minutes
Correct answer: 16 minutes
Total work = 4 × 20 = 80 person-minutes; 80 ÷ 5 = 16 minutes.
Question 6: A building is 85 feet tall. A ladder reaches 68 feet. What percentage of the building height does the ladder reach?
- 75%
- 80% (Correct answer)
- 85%
- 90%
Correct answer: 80%
68 ÷ 85 × 100 = 80%.
Question 7: Station A responds to 18 calls per day and Station B responds to 24 calls per day. What is the ratio of Station A's calls to Station B's calls in simplest form?
- 3:4 (Correct answer)
- 2:3
- 6:8
- 9:12
Correct answer: 3:4
18:24 simplifies by dividing both by 6, giving 3:4.
FCTC Numerical Reasoning 4
A fire hose discharges water at 125 gallons per minute.
How many gallons are discharged in 36 minutes?