How many natural numbers lie between 5² and 6²?
a. 9
b. 10
c. 11
d. 12

Solution:

We have to find the number of natural numbers that lie between 5² and 6².

Number of natural numbers lying between n² and (n+1)² = (n+1)² - n² - 1 = 2n

Here, n = 5

n + 1 = 6

So, number of natural numbers between 5² and 6² = 2(5)

= 10

Therefore, the required value is 10.

✦ Try This: How many natural numbers lie between 6² and 7²?

We have to find the number of natural numbers that lie between 6² and 7².

Number of natural numbers lying between n² and (n+1)² = (n+1)² - n² - 1 = 2n

Here, n = 6

n + 1 = 7

So, number of natural numbers between 6² and 7² = 2(6)

= 12

Therefore, the required value is 12.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 5

How many natural numbers lie between 5² and 6²? a. 9, b. 10, c. 11, d. 12

Summary:

10 natural numbers lie between 5² and 6².

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