FCTC FREE FCTC Numerical Reasoning Question and Answers 4 — Questions and Answers
Question 1: A building is 240 feet tall. A firefighter climbs 3/8 of the way up. How many feet has the firefighter climbed?
- 75 feet
- 80 feet
- 90 feet (Correct answer)
- 95 feet
Correct answer: 90 feet
240 × (3/8) = 90 feet.
Question 2: In a department of 180 firefighters, 45% are trained as paramedics. How many firefighters are NOT paramedics?
- 81
- 90
- 99 (Correct answer)
- 108
Correct answer: 99
55% are not paramedics; 180 × 0.55 = 99.
Question 3: A rescue team completes a search of a 4,500 square-foot building at a rate of 300 square feet per minute. How long does the search take?
- 12 minutes
- 13 minutes
- 14 minutes
- 15 minutes (Correct answer)
Correct answer: 15 minutes
4,500 ÷ 300 = 15 minutes.
Question 4: A fire hose costs $4.75 per foot. What is the cost of a 50-foot section?
- $225.00
- $237.50 (Correct answer)
- $240.00
- $250.00
Correct answer: $237.50
50 × $4.75 = $237.50.
Question 5: A station responds to 480 calls in a year. If 60 of those are false alarms, what fraction of calls are legitimate emergencies?
- 5/8
- 3/4
- 7/8 (Correct answer)
- 11/12
Correct answer: 7/8
(480 − 60) ÷ 480 = 420 ÷ 480 = 7/8.
Question 6: Firefighter Jones works 3 days on and 4 days off on a rotating schedule. How many days on-duty does Jones work in 28 days?
- 9
- 10
- 12 (Correct answer)
- 14
Correct answer: 12
28 days ÷ 7-day cycle = 4 cycles; 4 × 3 on-duty days = 12 days.
Question 7: A fire truck's fuel tank holds 60 gallons. After a shift, 22.5 gallons remain. What percentage of fuel was used?
- 55%
- 57.5%
- 60%
- 62.5% (Correct answer)
Correct answer: 62.5%
(60 − 22.5) ÷ 60 = 37.5 ÷ 60 = 0.625 = 62.5%.
A building is 240 feet tall.
A firefighter climbs 3/8 of the way up.
How many feet has the firefighter climbed?