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SSC CHSL 2020 PYQ — Question 53

SSC CHSL - 16th October 2020 - Shift 1 • Quantitative Aptitude • Q53

Back to paper

In the given figure, if OQ = QR, then the value of m is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e 3no

Understanding

Tricks

Application

In figure

Since OQ = QR

Hence

∠QOR = QRO = n

So

∠OQP = 2n (exterior angle)

Now

∠OQP = ∠OPQ = 2n (OP = OQ, radius)

So

∠POT = 4n

Here 

∠QOR = ∠SOT = n (Transversal angle)

Hence 

∠POT = m + ∠SOT

⇒ 4n = m + n

⇒ 3n = m