CAT Quantitative Ability Questions | CAT Geometry questions

CAT/1998

Question . 99

Three circles, each of radius 20 and centres at P, Q, R. further, AB = 5, CD = 10 and EF = 12. What is the perimeter of the triangle PQR?

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Explanatory Answer

Method of solving this CAT Quantitative Ability Question from Geometry question

(c) PR = PB + AR – 5 = 20 + 20 – 5 [∴AB = 5 cm]

So, perimeter = PR + PQ + QR

= 20 + (20 – 5) + 20 + (20 – 10) + 20 + (20 – 12)

= 35 + 30 + 28 = 93