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CAT 1998 — QA Question 6

2 CirclesEasy
Passage / Data

​​​​​​​Direction: Answer the questions based on the following information.

Production pattern for number of units (in cubic feet) per day.

For a truck that can carry 2,000 cubic ft, hiring cost per day is Rs. 1,000. Storing cost per cubic  feet is Rs. 5 per day. 

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

Answer & solution

  • A

    120

  • B

    66

  • 93

  • D

    87

Solution

PQ = PE + FQ – FE
= radius of circle 1 + radius of circle 2 – FE = 20 + 20 – 12 = 28
Similarly, QR = 20 + 20 – CD = 40 – 10 = 30 and PR = 20 + 20 – AB = 40 – 5 = 35
So perimeter of ΔPQR = 28 + 30 + 35 = 93

CAT 1998 QA Q6: Three circles, each of radius 20, have centres at P, Q and R. Further, AB = 5, CD = 10 and EF = 12. What is th — Solution | TheCATExam