Practice Test GeeksOAT - Optometry Admission Test Practice Test
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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 train travels 240 miles in 3 hours, then 180 miles in 2 hours. What is the average speed for the entire trip?

    Answer: 84 mph

    Total distance = 420 miles; total time = 5 hours; average speed = 420/5 = 84 mph.

  2. If log₂(x) = 5, what is the value of x?

    Answer: 32

    log₂(x) = 5 means 2⁵ = x, so x = 32.

  3. A bag contains 4 red, 5 blue, and 6 green marbles. What is the probability of drawing 2 red marbles in a row without replacement?

    Answer: 2/35

    P = (4/15) × (3/14) = 12/210 = 2/35.

  4. The sum of three consecutive even integers is 78. What is the largest of the three integers?

    Answer: 28

    Let integers be n, n+2, n+4; 3n + 6 = 78 → n = 24, so the largest is 28.

  5. What is the area of a circle inscribed in a square with side length 10?

    Answer: 25π

    The inscribed circle has radius = 5, so area = π(5)² = 25π.

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

    Answer: 17

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

  7. A rectangle has a perimeter of 56 cm and a length that is 3 times its width. What is the area of the rectangle?

    Answer: 147 cm²

    2(l+w) = 56 → l+w = 28; l = 3w → 4w = 28 → w = 7, l = 21; Area = 7 × 21 = 147 cm².