Practice GAT Quantitative Reasoning questions with answers and explanations.
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Circumference is 2πr.
Thus, 2 × 22/7 × 7 = 44 cm.
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One complete revolution corresponds to 360 degrees.
Therefore, the central angle of a full circle is 360°.
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Circle area is πr².
Thus, 22/7 × 49 = 154 cm².
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A tangent to a circle is perpendicular to the radius drawn to the contact point.
The angle between them is 90°.
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A 90° arc is one quarter of the circumference.
The circumference is 88 cm, so the arc is 22 cm.
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Corresponding angles between parallel lines are equal.
Therefore, the other angle is also 110°.
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Sector area is angle/360 × πr².
Thus, 60/360 × 36π = 6π cm².
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By Pythagoras, c² = 6² + 8² = 100.
Thus, c = 10 cm.
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For a right triangle, the square of the longest side equals the sum of the other squares.
Here, 5² + 12² = 13².
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An exterior angle equals the sum of the two remote interior angles.
It is supplementary to the adjacent interior angle.
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A quadrilateral can be divided into two triangles.
Thus, its angle sum is 2 × 180° = 360°.
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A rectangle has four right angles and opposite sides equal.
Its diagonals are also equal in length.
