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Quantitative Reasoning Flashcards

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

Read the first 7 Quantitative Reasoning flashcards as text
  1. A cylinder has a radius of 4 cm and a height of 9 cm. What is its volume?

    Answer: 144π cm³

    V = πr²h = π(4²)(9) = 144π cm³.

  2. Solve for x: |2x − 6| = 10

    Answer: x = 8 or x = −2

    2x − 6 = 10 → x = 8, or 2x − 6 = −10 → x = −2.

  3. In a class of 30 students, 18 play soccer and 14 play basketball. If 5 play neither sport, how many play both?

    Answer: 7

    Students playing at least one sport = 25; by inclusion-exclusion: 18 + 14 − both = 25 → both = 7.

  4. If a right triangle has legs of length 7 and 24, what is the length of the hypotenuse?

    Answer: 25

    c = √(7² + 24²) = √(49 + 576) = √625 = 25.

  5. What is the sum of the first 20 positive odd integers?

    Answer: 400

    The sum of the first n odd integers = n²; for n = 20, sum = 400.

  6. A store marks up an item by 40%, then offers a 20% discount. What is the net percent change from the original price?

    Answer: 12% increase

    Net factor = 1.40 × 0.80 = 1.12, representing a 12% increase over the original price.

  7. Evaluate: ∑(k=1 to 5) of (2k + 1)

    Answer: 35

    Sum = 3 + 5 + 7 + 9 + 11 = 35.