SSC CGL 2023 PYQ — Question 66

SSC CGL - 21 July 2023 - Shift 4 • Quantitative Aptitude • Q66

In the given figure, PQ is a chord passing through the centre 'O' of the circle. Calculate ∠\anglePQS.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 20o.

The sum of opposite angles of a cyclic quadrilateral is 180º

Given that 

∠QRS = 110º

Hence ∠SPQ = 180 - 110 = 70º

∠QSP = 90º (angle in a semi-circle)

Hence, ∠\anglePQS = 180 - 90 - 70 = 20º