Practice IBA Undergraduate Aptitude questions with answers and explanations.
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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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Corresponding angles between parallel lines are equal.
Therefore, the other angle is also 110°.
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Alternate interior angles formed by parallel lines are equal.
Thus, the matching angle is 65°.
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Complementary angles sum to 90°.
Thus, 90° - 38° = 52°.
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Supplementary angles sum to 180°.
Thus, 180° - 125° = 55°.
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Vertically opposite angles are equal.
Therefore, the opposite angle is 72°.
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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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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°.
