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 and = 2n, where n is any natural number
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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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 | |||
View Explanation |
If the number of natural numbers in between the square of 25 and 26 is 'r' and the number of natural numbers in between the square of 15 and 16 is 't'. Then find the difference of r and t . | |||
Right Option : D | |||
View Explanation |
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