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Numerical Reasoning: Word Problems Flashcards

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

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  1. A freelancer charges $75 per hour for the first 8 hours and $110 per hour for overtime. If she works 11 hours in a day, what is her total earnings?

    Answer: $930

    Regular pay = 8 × $75 = $600; overtime = 3 × $110 = $330; total = $930.

  2. Two pipes fill a tank: Pipe A fills it in 6 hours alone and Pipe B fills it in 12 hours alone. How long does it take both pipes working together?

    Answer: 4 hours

    Combined rate = 1/6 + 1/12 = 3/12 = 1/4 tank per hour; time = 4 hours.

  3. A city has a population of 450,000. If it grows at 2% per year, what will the population be after 1 year?

    Answer: 459,000

    Growth = 2% × 450,000 = 9,000; new population = 450,000 + 9,000 = 459,000.

  4. A store marks up wholesale items by 40% to set the retail price. If a product's wholesale cost is $65, what is its retail price?

    Answer: $91.00

    Markup = 40% × $65 = $26; retail price = $65 + $26 = $91.

  5. A car depreciates in value by 15% each year. If it is worth $24,000 now, what will it be worth after 2 years?

    Answer: $17,340

    After year 1: $24,000 × 0.85 = $20,400; after year 2: $20,400 × 0.85 = $17,340.

  6. A batch of 500 items is produced and 4% are defective. How many non-defective items are there?

    Answer: 480

    Defective = 4% × 500 = 20; non-defective = 500 − 20 = 480.

  7. A project requires 6 engineers working 8 hours a day for 10 days. The deadline is moved up by 2 days, but the number of hours per day stays the same. How many engineers are now needed?

    Answer: 8

    Total work = 6 × 8 × 10 = 480 engineer-hours; in 8 days: 480 ÷ (8 × 8) = 7.5, rounded up to 8.