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

The number of natural numbers lying in between the squares of  238 and 239 , 800 and 801 respectively are _______________________ .

Right Option : D
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Question : 2

Find the number of natural numbers lying in between the squares of 124 and 125.Also find the number of natural numbers lying in between the squares of 134 and 135.

Right Option : C
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Question : 3

Let the number of natural numbers in between the square of 14 and 15 is p.Again let the number of natural numbers in between the squares of 17 and 18  is q.Find the sum of p and q .

Right Option : C
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Explanation
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