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Percents, Ratios, and Proportions Flashcards

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

Read the first 7 Percents, Ratios, and Proportions flashcards as text

  1. If 6 workers can complete a project in 8 days, how many days will 4 workers need to complete the same project?

    Answer: 12

    Total work = 6 × 8 = 48 worker-days; 48 ÷ 4 = 12 days.

  2. A car travels 240 miles in 4 hours. At the same rate, how far will it travel in 7 hours?

    Answer: 420

    Speed = 240/4 = 60 mph; distance in 7 hours = 60 × 7 = 420 miles.

  3. On a map, 1 inch represents 50 miles. What actual distance corresponds to 3.5 inches on the map?

    Answer: 175 miles

    3.5 inches × 50 miles/inch = 175 miles.

  4. If the price of 5 books is $35, what is the price of 8 books at the same rate?

    Answer: $56

    Unit price = $35 ÷ 5 = $7 per book; 8 × $7 = $56.

  5. Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. With both pipes open, how long does it take to fill the tank?

    Answer: 2 hours

    Combined rate = 1/3 + 1/6 = 1/2 tank per hour, so the tank fills in 2 hours.

  6. If 3/4 of a number is 15 more than 1/3 of the same number, what is the number?

    Answer: 36

    Setting up 3n/4 − n/3 = 15 gives 5n/12 = 15, so n = 36.

  7. A solution is 20% acid. How many liters of pure acid must be added to 10 liters of this solution to make it 25% acid?

    Answer: 2/3 liter

    Setting up 2 + x = 0.25(10 + x) gives 0.75x = 0.5, so x = 2/3 liter.