SarkariPYQ

SSC MTS - 12 Feb 2026 - Shift 3

12 February 2026 • 90 questions

Mock testSource label: Test Series

Question 1 / 90

O is the center of a circle, and PQ and RS are two chords. When PQ and RS are extended, they meet at point K. If PR is a diameter and ∠PKS = 66°, what is the value of ∠QOS?

Show answer & explanation

Correct answer: B

Explanation

Given:

PR is the diameter, ∠PKS = 66°

According to the formula:

Exterior angle = 180° − (Central angle / 2)

66 = 180 − (∠QOS / 2)

∠QOS / 2 = 114

∠QOS = 228°

Minor central angle = 360° − 228° = 132°

Now, corresponding to the arc:

∠QOS = 2 × (66 − 42) = 48°

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