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SSC CGL 2022 PYQ — Question 73

SSC CGL - 03 Dec 2022 - Shift 2 • Quantitative Aptitude • Q73

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ΔXYZ ~ ΔGST and XY : GS = 2 : 3, XV is the median to the side YZ, and GD is the median to the side ST. The value of (YVSD)2({{YV} \over SD})^2  is__________.

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 49{{4} \over 9}.

Two triangles are similar if they have the same ratio of corresponding sides and an equal pair of corresponding angles.

Using the above concept, we get

⇒ (YV/SD)2 = (XY/GS)2 = (2/3)2 = 4/9