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SSC CHSL 2019 PYQ — Question 60

SSC CHSL - 3rd July 2019 - Shift 3 • Quantitative Aptitude • Q60

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In a circle with center O, diameter AB and a chord CD intersect each other at E. AC and AD are joined. If ∠BOC = 48° and ∠AOD = 100°, then what is the measure of ∠CEB?

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Correct answer: A

Explanation

Correct Answer is option 1 i.e. 74°

Understanding

Given:

∠BOC = 48° and ∠AOD = 100°

Application

From the figure:

∠BOD = 180° - 100° = 80°

And

∠DOC = 80 + 48 = 128°

Since OD = OC

∠ODC = ∠OCD = [180 – 128]/2 = 52/2 = 26°

Now in triangle OCE, ∠CEB is the exterior angle:

∠CEB = 48 + 26 = 74°