Practice GAT Quantitative Reasoning questions with answers and explanations.
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The complement contains universal-set elements not in A.
Removing 2 and 4 leaves 1, 3, and 5.
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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.
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Curved surface area is 2πrh.
Thus, 2π × 4 × 7 = 56π cm².
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Cone volume is one-third πr²h.
Thus, 1/3 × π × 9 × 12 = 36π cm³.
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Sphere volume is 4/3 πr³.
Thus, 4/3 × π × 27 = 36π cm³.
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The edge length is the cube root of the volume.
Since 6³ = 216, the edge is 6 cm.
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Distance is √[(3 - 0)² + (4 - 0)²].
This equals √25 = 5.
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Average the x-coordinates and the y-coordinates separately.
The midpoint is ((2 + 8)/2, (3 + 7)/2) = (5, 5).
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Slope is change in y divided by change in x.
Thus, (10 - 2)/(5 - 1) = 8/4 = 2.
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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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A vertical line has a constant x-coordinate.
Therefore, x = -3 represents a vertical line.
