Number Between Square Numbers


 
 
Concept Explanation
 

Number Between Square Numbers

Suppose there are two square numbers n2 and (n+1)2, then total numbers between these two squares are given by 2n.

Let’s say 42 and 52 are two squares.

42 = 16 and 52 = 25

We need to find the numbers present between 16 and 25

Here, n = 4

Therefore, total numbers between 16 and 25  = 24 = 2 x 4 = 8

Let us check  the numbers between 16 and 25 = 17, 18, 19, 20, 21, 22, 23, 24

As we can see, the numbers between 16 and 25 are 8. Therefore, the formula given above is applicable to all the squares.

Numbers Between large n^2 and large (n+1)^2  = 2n, where n is any natural number

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Find the number of natural numbers lying in between the squares of 21 and 22.

Right Option : A
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Explanation
Question : 2

Find the number of natural numbers lying in between the squares of 50 and 51, and also find the number of natural numbers lying in between the squares of 56 and 57.

Right Option : B
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Explanation
Question : 3

Find the number of natural numbers lying in between the squares of 100 and 101.

Right Option : B
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Explanation
 
 


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