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GATE ME 2015 Set 3 — Question 8

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NAT+2 / -0MediumMensuration & GeometryQuantitative AptitudeGeneral Aptitude

General Aptitude → Quantitative Aptitude → Mensuration & Geometry

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Question

In the given figure angle QQ is a right angle, PS:QS=3:1PS:QS = 3:1, RT:QT=5:2RT:QT = 5:2 and PU:UR=1:1PU:UR = 1:1. If area of triangle QTSQTS is 20 cm220\text{ cm}^2, then the area of triangle PQRPQR in cm2\text{cm}^2 is _______.
A triangle PQR with a right angle at Q. Points S and T are on PQ and QR respectively. Point U is on PR. Lines connect U to S and U to T.
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