SarkariPYQ

SSC CHSL 2021 PYQ — Question 55

SSC CHSL - 5 Aug 2021 - Shift 1 • Quantitative Aptitude • Q55

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In ΔXYZ, P is the midpoint of side XZ and Q is a point on side XY such tht QZ bisects PY. If XQ = 24 cm, then what is the length (in cm) of QY?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 12.

Let D is considered the midpoint of QZ

From the Midpoint theorem,

PD/XQ = 1/2

So, PD = 12 cm

∠QOY = ∠DOP

PO = YO

So, ΔPOD ≅ ΔQOY

So, QY = PD = 12 cm