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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 the average of five numbers is 18 and four of them are 12, 15, 20, and 25, what is the fifth number?

    Answer: 18

    Sum must be 90; 90 - 72 = 18.

  2. A rectangle has a perimeter of 36 and a length twice its width. What is its area?

    Answer: 72

    Width = 6, length = 12, so area = 72.

  3. If 2^(x+1) = 32, what is x?

    Answer: 4

    32 = 2^5, so x + 1 = 5 and x = 4.

  4. A worker is paid $15 per hour for the first 40 hours and 1.5 times that for overtime. If she earns $735 in a week, how many hours did she work?

    Answer: 46

    Regular pay = $600; remaining $135 ÷ $22.50 = 6, so total = 46 hours.

  5. The probability of an event is 3/8. What are the odds against it?

    Answer: 5:3

    Odds against = unfavorable:favorable = 5:3.

  6. If a:b = 2:3 and b:c = 4:5, what is a:c?

    Answer: 8:15

    a:b:c = 8:12:15, so a:c = 8:15.

  7. How many integers from 1 to 100 inclusive are divisible by both 4 and 6?

    Answer: 8

    LCM(4,6) = 12; multiples of 12 up to 100 are 12,24,...,96, which is 8.