Practice NAT Quantitative Reasoning questions with answers and explanations.
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For a triangle, the sum of any two sides must exceed the third.
Here 4 + 7 = 11, which is less than 12.
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A rhombus is defined by four equal sides.
Its angles need not be right angles.
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Under the common school definition, a trapezium has one pair of parallel sides.
Parallelograms have two pairs.
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The sum is (n - 2) × 180°.
For n = 5, this is 3 × 180° = 540°.
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The total interior angle sum is 720°.
Dividing by 6 equal angles gives 120°.
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The exterior angles of any polygon sum to 360°.
For a regular octagon, each is 360° ÷ 8 = 45°.
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The number of diagonals is n(n - 3)/2.
For n = 6, this gives 6 × 3 ÷ 2 = 9.
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An angle subtended by a diameter at the circumference is a right angle.
This result is known as Thales' theorem.
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The diameter is twice the radius.
Thus, 2 × 7 = 14 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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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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Equal sides in an isosceles triangle face equal angles.
This is the base-angle theorem.
