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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. If x is increased by 25% and the result is 75, what was x?

    Answer: 60

    1.25x = 75, so x = 60.

  2. A circle has area 49π. What is its circumference?

    Answer: 14π

    Radius = 7, so circumference = 2π(7) = 14π.

  3. Three consecutive even integers sum to 78. What is the largest?

    Answer: 28

    Integers are 24, 26, 28; the largest is 28.

  4. If f(x) = 2x^2 - 3x + 1, what is f(-2)?

    Answer: 15

    2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.

  5. A bag has 4 red, 3 blue, and 5 green marbles. What is the probability of drawing a blue marble?

    Answer: 1/4

    3 blue out of 12 total = 1/4.

  6. If 5 machines make 5 widgets in 5 minutes, how long do 100 machines take to make 100 widgets?

    Answer: 5 minutes

    Each machine makes 1 widget in 5 minutes, so 100 machines make 100 widgets in 5 minutes.

  7. The sum of the interior angles of a polygon is 1080°. How many sides does it have?

    Answer: 8

    (n-2)×180 = 1080 gives n = 8.