Practice NAT Quantitative Reasoning questions with answers and explanations.
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Each term is doubled and increased by 1.
So 31 × 2 + 1 = 63.
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Each term is multiplied by 3 and reduced by 1.
Thus, 41 × 3 - 1 = 122.
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The operations alternate between ×2 and -1.
After 13, multiply by 2 to obtain 26.
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By Pythagoras, c² = 6² + 8² = 100.
Thus, c = 10 cm.
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Alternate interior angles formed by parallel lines are equal.
Thus, the matching angle is 65°.
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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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Complementary angles sum to 90°.
Thus, 90° - 38° = 52°.
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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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Supplementary angles sum to 180°.
Thus, 180° - 125° = 55°.
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A quadrilateral can be divided into two triangles.
Thus, its angle sum is 2 × 180° = 360°.
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Vertically opposite angles are equal.
Therefore, the opposite angle is 72°.
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A rectangle has four right angles and opposite sides equal.
Its diagonals are also equal in length.
