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Problem Solving Flashcards

7 cards from real CFAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Problem Solving flashcards as text
  1. A vehicle uses 12 liters of fuel per 100 km. How many liters are needed for a 350 km journey?

    Answer: 42 L

    Fuel = (350 ÷ 100) × 12 = 3.5 × 12 = 42 liters.

  2. Solve for x: x + 15 = 3x − 9

    Answer: 12

    Rearranging: 15 + 9 = 3x − x → 24 = 2x → x = 12.

  3. A soldier's monthly pay is increased by 15% to $2,300. What was the original salary?

    Answer: $2,000

    Original × 1.15 = $2,300; original = $2,300 ÷ 1.15 = $2,000.

  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?

    Answer: 27 km

    Combined speed = 18 km/h; distance = 18 × 1.5 = 27 km.

  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?

    Answer: 160

    Floor area = 40 m²; tile area = 0.25 m²; tiles needed = 40 ÷ 0.25 = 160.

  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?

    Answer: 40 min

    Net fill rate = 50 − 20 = 30 L/min; time = 1,200 ÷ 30 = 40 minutes.

  7. A soldier runs 5 km in 25 minutes. At the same pace, how long will a 12 km run take?

    Answer: 60 min

    Pace = 25 ÷ 5 = 5 min/km; time for 12 km = 12 × 5 = 60 minutes.