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Quantitative Reasoning Flashcards

7 cards from real PCAT 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 drug has a half-life of 6 hours. What fraction of the original dose remains after 24 hours?

    Answer: 1/16

    24 hours = 4 half-lives; (1/2)⁴ = 1/16 of the dose remains.

  2. Solve for y: 3y/4 − 5 = 7

    Answer: 16

    3y/4 = 12 → 3y = 48 → y = 16.

  3. If f(x) = 3x² − 2x + 1, what is f(−2)?

    Answer: 17

    f(−2) = 3(4) − 2(−2) + 1 = 12 + 4 + 1 = 17.

  4. Two pipes can fill a tank in 4 and 6 hours respectively. How long will it take to fill the tank together?

    Answer: 2.4 hours

    Combined rate = 1/4 + 1/6 = 5/12 tanks/hr; time = 12/5 = 2.4 hours.

  5. What is the slope of the line passing through (2, −3) and (8, 9)?

    Answer: 2

    Slope = (9 − (−3)) / (8 − 2) = 12/6 = 2.

  6. Convert 0.000325 to scientific notation.

    Answer: 3.25 × 10⁻⁴

    0.000325 = 3.25 × 10⁻⁴ because the decimal moves 4 places to the right.

  7. A pharmacy technician earns $18.50/hour and works 37.5 hours per week. What are the gross weekly earnings?

    Answer: $693.75

    $18.50 × 37.5 = $693.75.