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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 40% of a number is 60, what is 75% of that number?

    Answer: 112.5

    The number is 150; 75% of 150 = 112.5.

  2. A train leaves at 2:00 PM traveling 50 mph. A second train leaves the same point at 3:00 PM at 75 mph in the same direction. At what time does the second catch the first?

    Answer: 5:00 PM

    First train has a 50-mile head start; closing at 25 mph takes 2 hours, so 3:00 + 2 = 5:00 PM.

  3. What is the value of (0.5)^-2?

    Answer: 4

    (0.5)^-2 = 1/(0.25) = 4.

  4. A number increased by 12 equals three times the number decreased by 4. What is the number?

    Answer: 8

    x + 12 = 3x - 4 gives 2x = 16, x = 8.

  5. If the diagonal of a square is 8√2, what is its area?

    Answer: 64

    Side = diagonal/√2 = 8, so area = 64.

  6. Investing $2000 at 5% simple annual interest, how much interest is earned in 3 years?

    Answer: $300

    Simple interest = 2000 × 0.05 × 3 = $300.

  7. If x^2 - 5x + 6 = 0, what is the sum of the roots?

    Answer: 5

    Sum of roots = -(-5)/1 = 5 (roots are 2 and 3).