Quantitative Aptitude – Geometry – Mensuration – Let ABCD be a rectangle inscribed in a circle

Quantitative Aptitude – Geometry - Circles – Let ABCD be a rectangle inscribed in a circle

Slot -1 – Quantitative Aptitude – Geometry – Mensuration – Let ABCD be a rectangle inscribed in a circle

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?

a) 25, 10

b) 24, 12

c) 25, 9

d) 24, 10

Answer: d) 24, 10

Solution:

As ABCD is a rectangle angles A,B,C and D will be 90°. Thus AC will be diameter of circle of length 13*2 = 26

So length , width and 26 will form a Pythagorean triplet . From given options ,

only option d) 24, 10 satisfy this condition as
10^2+24^2=26^2

Other posts related to Quantitative Aptitude – Modern Maths

Permutation and Combination – Fundamental Principle of Counting
Permutation and Combination – Distribution of Objects
How to find Rank of a Word in Dictionary (With or Without Repetition)
Set Theory- Maximum and Minimum Values
How to solve questions based on At least n in Set Theory for CAT Exam?
Sequence and Series Problems and Concepts for CAT 2017 Exam Preparation
Basic Probability Concepts for CAT Preparation

Online Coaching Course for CAT Exam Preparation

a) 750+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video

Know More about Online CAT Course

Leave a Reply

Your email address will not be published. Required fields are marked *