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Mixed Quantitative Reasoning (Problem Solving) 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 Mixed Quantitative Reasoning (Problem Solving) flashcards as text

  1. A store marks up an item by 40%, then offers a 25% discount on the marked-up price. What is the net percent change from the original price?

    Answer: 5% increase

    1.40 × 0.75 = 1.05, a 5% increase.

  2. If 3^x = 81, what is the value of 3^(x-2)?

    Answer: 9

    3^x = 81 means x = 4, so 3^(4-2) = 3^2 = 9.

  3. A car travels 120 miles at 40 mph, then 120 miles at 60 mph. What is the average speed for the whole trip?

    Answer: 48 mph

    Total time = 3 + 2 = 5 hours for 240 miles, so 240/5 = 48 mph.

  4. The ratio of boys to girls in a class is 3:5. If there are 20 girls, how many students are in the class?

    Answer: 32

    5 parts = 20, so 1 part = 4; total 8 parts = 32.

  5. If x and y are positive integers and x + y = 10, what is the maximum possible value of xy?

    Answer: 25

    The product is maximized when x = y = 5, giving 25.

  6. A solution is 30% acid. How many liters of pure water must be added to 12 liters to make it 20% acid?

    Answer: 6

    Acid = 3.6 L stays constant; 3.6/0.20 = 18 L total, so 18 - 12 = 6 L added.

  7. What is the units digit of 7^23?

    Answer: 3

    Units digits of 7 cycle 7,9,3,1; 23 mod 4 = 3, giving the third value, 3.