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Numerical Reasoning Flashcards

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

Read the first 7 Numerical Reasoning flashcards as text

  1. Of 60 students, 45% passed math, 55% passed English, and 20% passed both. How many passed at least one subject?

    Answer: 48

    Using inclusion-exclusion: 45% + 55% − 20% = 80%; 80% of 60 = 48 students.

  2. What is the mean of 14, 22, 9, 31, and 19?

    Answer: 19

    Sum = 14 + 22 + 9 + 31 + 19 = 95; mean = 95 ÷ 5 = 19.

  3. A recipe uses 2.5 cups of flour for 24 cookies. How many cups are needed for 60 cookies?

    Answer: 6.25 cups

    2.5/24 = x/60; x = 2.5 × 60 ÷ 24 = 6.25 cups.

  4. What is the next number: 1, 1, 2, 3, 5, 8, 13, ___?

    Answer: 21

    This is the Fibonacci sequence; each term is the sum of the two before it: 8 + 13 = 21.

  5. A pool holds 12,000 gallons. A pump fills it at 500 gal/hr but a leak drains 50 gal/hr. How many hours to fill the empty pool?

    Answer: 26 hours

    Net fill rate = 500 − 50 = 450 gal/hr; time = 12,000 ÷ 450 ≈ 26.7 ≈ 27 hours — nearest whole answer is 26.

  6. If 8 is 40% of a number, what is 25% of that same number?

    Answer: 5

    The number = 8 ÷ 0.40 = 20; 25% of 20 = 5.

  7. A store sells two TVs at $300 each — making 25% profit on one and taking a 25% loss on the other. What is the net result?

    Answer: $40 loss

    Cost of TV1 = $300 ÷ 1.25 = $240; cost of TV2 = $300 ÷ 0.75 = $400; total cost $640 vs revenue $600 = $40 net loss.