Quantitative Aptitude – Number System – If the sum of squares of two numbers

Quantitative Aptitude – Modern Maths - Sequence and Series – If the sum of squares of two numbers

Slot -2 – Quantitative Aptitude – Number System – If the sum of squares of two numbers is 97

If the sum of squares of two numbers is 97, then which one of the following cannot be their product?

a) −32

b) 16

c) 48

d) 64

Answer: d) 64

Solution: let numbers are a and b.

Given, a^2+b^2=97
Using A.M.≥G.M

(a^2+b^2)/2 ≥ (a^2 b^2 )^(1/2)=ab
ab ≤ 97/2 = 48.5

Thus product of numbers can not be greater than 48.5
Option d) 64 is correct

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 2019 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Your email address will not be published.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 *