CAT 2018 Question Paper | Quants Slot 1

CAT Questions

Geometry is known to haunt the CAT aspirants for decades due to its sizeable presence in every CAT Question Paper. The CAT 2018 Question Paper is no exception. In this question, you are asked to deduce the possible length and breadth of the rectangle that is inscribed inside a circle with 13cm radius. CAT Quants require some specific strateges, and to learn about the preparation techniques, click: How to prepare for Quant

Question 18 :Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which one of the following pairs can represent, in cm, the possible length and breadth of ABCD?

1. 25 , 10
2. 24 , 12
3. 25 , 9
4. 10 , 24

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question from Geometry

Since, ABCD is a rectangle inscribed inside a circle
ABC must be a Right triangle
Given that radius of Circle = 13 cms

5, 12, 13 forms a Pythagorean Triplet
10, 24, 26 is also a Pythagorean triplet

So, 10 and 24 are possible length and breadth of ABCD

The question is "Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which one of the following pairs can represent, in cm, the possible length and breadth of ABCD?"

Hence, the answer is 10 , 24.

Choice D is the correct answer.

 

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