CFAT Problem Solving 3 — Questions and Answers
Question 1: A vehicle uses 12 liters of fuel per 100 km. How many liters are needed for a 350 km journey?
- 36 L
- 40 L
- 42 L (Correct answer)
- 48 L
Correct answer: 42 L
Fuel = (350 ÷ 100) × 12 = 3.5 × 12 = 42 liters.
Question 2: Solve for x: x + 15 = 3x − 9
- 6
- 8
- 10
- 12 (Correct answer)
Correct answer: 12
Rearranging: 15 + 9 = 3x − x → 24 = 2x → x = 12.
Question 3: A soldier's monthly pay is increased by 15% to $2,300. What was the original salary?
- $1,850
- $1,950
- $2,000 (Correct answer)
- $2,050
Correct answer: $2,000
Original × 1.15 = $2,300; original = $2,300 ÷ 1.15 = $2,000.
Question 4: Two soldiers run from the same point in opposite directions at 8 km/h and 10 km/h. How far apart are they after 1.5 hours?
- 18 km
- 24 km
- 27 km (Correct answer)
- 30 km
Correct answer: 27 km
Combined speed = 18 km/h; distance = 18 × 1.5 = 27 km.
Question 5: A rectangular floor is 8 m long and 5 m wide. How many 0.5 m × 0.5 m tiles are needed to cover it?
- 80
- 120
- 160 (Correct answer)
- 200
Correct answer: 160
Floor area = 40 m²; tile area = 0.25 m²; tiles needed = 40 ÷ 0.25 = 160.
Question 6: A tank holds 1,200 liters. It fills at 50 L/min and drains at 20 L/min simultaneously. How long to fill from empty?
- 24 min
- 30 min
- 36 min
- 40 min (Correct answer)
Correct answer: 40 min
Net fill rate = 50 − 20 = 30 L/min; time = 1,200 ÷ 30 = 40 minutes.
Question 7: A soldier runs 5 km in 25 minutes. At the same pace, how long will a 12 km run take?
- 45 min
- 50 min
- 55 min
- 60 min (Correct answer)
Correct answer: 60 min
Pace = 25 ÷ 5 = 5 min/km; time for 12 km = 12 × 5 = 60 minutes.
CFAT Problem Solving 3
A vehicle uses 12 liters of fuel per 100 km.
How many liters are needed for a 350 km journey?