Practice HAT Quantitative Reasoning questions with answers and explanations.
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An event and its complement have total probability 1.
Thus, P(not A) = 1 - 0.35 = 0.65.
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A horizontal line has a constant y-coordinate.
Therefore, an equation of the form y = constant is horizontal.
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For independent events, multiply their probabilities.
Thus, 1/2 × 1/3 = 1/6.
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A vertical line has a constant x-coordinate.
Therefore, x = -3 represents a vertical line.
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There are 2 favorable blue balls out of 5 total balls.
The probability is therefore 2/5.
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The inner rectangle measures 46 m by 26 m, with area 1,196 m².
The full area is 1,500 m², so the path area is 304 m².
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The intersection contains elements common to both sets.
Only 3 appears in both A and B.
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The union contains every distinct element from either set.
Thus, A ∪ B = {1, 2, 3}.
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Cube volume is side cubed.
Thus, 4³ = 64 cm³.
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A cube has six square faces, each of area 25 cm².
Thus, total area is 6 × 25 = 150 cm².
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Cuboid volume is length × width × height.
Thus, 8 × 5 × 3 = 120 cm³.
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Cylinder volume is πr²h.
Thus, π × 9 × 10 = 90π cm³.
