SarkariPYQ

SSC CGL 2020 PYQ — Question 26

SSC CGL Tier II - Quant - 16 Nov 2020 • Quantitative Aptitude • Q26

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In △ PQR, ∠P = 90º, S and T are the midpoints of sides PR and PQ, respectively. What is the value of RQ2/(QS2 + RT2)?

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Correct answer: B

Explanation

The correct answer is option 2 i.e.  45\frac{4}{5}.

In △ PQR, by using Pythgoras theorem we get,

RQ2 = 22 + 22  = 8.

In △ PRT, by using Pythagoras theorem we get,

RT2 = 22 + 12 = 5.

In △ PSQ, by using Pythagoras theorem we get,

SQ2 = 12 + 22 = 5.

RQ2/(QS2 + RT2) = 8/10 = 4/5.