
Find the perfect square numbers between
A. 10 and 20
B. 50 and 60
C. 80 and 90
Answer
495.6k+ views
1 likes
Hint: We know that 100 is the square of 10 which means all the squares of the numbers from 1 to 10 lie between 1 to 100, use this property to solve this question without any trouble.
Complete step by step solution:
Let us list the squares of all the numbers from 1 to 10 beforehand
Now let us see how many of these numbers lie between 10 and 20. Clearly 16 is the only number that lies between 10 and 20 and which is the square of 4 and hence the count of perfect squares between 10 and 20 is 1.
Now let us see how many of these numbers lie between 50 and 60 clearly we can observe that no numbers are present in between 50 and 60 which satisfies our condition though the closest are 49 and 64 but they don't belong to the given range, we are looking for and hence the count of perfect squares between 50 and 60 is 0.
Now let us see how many of these numbers lie between 80 and 90. Clearly only 81 lies between the numbers 80 and 90, which is a perfect square of 9 and hence the count of perfect squares between 80 and 90 is 1.
Note:
We can also do this question by examining each number in the intervals and checking the square root of 30 numbers but we can clearly understand that it will be a long method and chances of making mistakes is also high.
Complete step by step solution:
Let us list the squares of all the numbers from 1 to 10 beforehand
Now let us see how many of these numbers lie between 10 and 20. Clearly 16 is the only number that lies between 10 and 20 and which is the square of 4 and hence the count of perfect squares between 10 and 20 is 1.
Now let us see how many of these numbers lie between 50 and 60 clearly we can observe that no numbers are present in between 50 and 60 which satisfies our condition though the closest are 49 and 64 but they don't belong to the given range, we are looking for and hence the count of perfect squares between 50 and 60 is 0.
Now let us see how many of these numbers lie between 80 and 90. Clearly only 81 lies between the numbers 80 and 90, which is a perfect square of 9 and hence the count of perfect squares between 80 and 90 is 1.
Note:
We can also do this question by examining each number in the intervals and checking the square root of 30 numbers but we can clearly understand that it will be a long method and chances of making mistakes is also high.
Latest Vedantu courses for you
Grade 9 | CBSE | SCHOOL | English
Vedantu 9 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹37,300 per year
Recently Updated Pages
Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Chemistry: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Trending doubts
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

How many ounces are in 500 mL class 8 maths CBSE

How many ten lakhs are in one crore-class-8-maths-CBSE

Name the states through which the Tropic of Cancer class 8 social science CBSE

Explain land use pattern in India and why has the land class 8 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE
