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. Which of the following is equivalent to (2³)⁴ ÷ 2⁶?

    Answer: 2⁶

    (2³)⁴ = 2¹² and 2¹² ÷ 2⁶ = 2⁶.

  2. A car depreciates in value by 15% per year. If it is currently worth $20,000, what will it be worth after 2 years?

    Answer: $14,450

    Value = 20,000 × (0.85)² = 20,000 × 0.7225 = $14,450.

  3. If vectors u = (3, −1) and v = (2, 4), what is the dot product u · v?

    Answer: 2

    u · v = (3)(2) + (−1)(4) = 6 − 4 = 2.

  4. What is the range of the function f(x) = −x² + 4?

    Answer: y ≤ 4

    The parabola opens downward with vertex at (0, 4), so f(x) ≤ 4 for all x.

  5. How many distinct arrangements are there of the letters in the word 'LEVEL'?

    Answer: 30

    LEVEL has 5 letters with L repeated 2× and E repeated 2×: 5! / (2! × 2!) = 120/4 = 30.

  6. If tan(θ) = 5/12 and θ is in the first quadrant, what is cos(θ)?

    Answer: 12/13

    With opposite = 5, adjacent = 12, hypotenuse = 13; cos(θ) = adjacent/hypotenuse = 12/13.

  7. A solution is 30% acid. How many liters of pure acid must be added to 20 liters of this solution to make it 50% acid?

    Answer: 8 L

    (0.30×20 + x) / (20 + x) = 0.50 → 6 + x = 10 + 0.5x → x = 8.