How many natural numbers lie between 18² and 19²
a. 30
b. 37
c. 35
d. 36

Solution:

We have to find the number of natural numbers that lie between 18² and 19².

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

Here, n = 18

n + 1 = 19

So, number of natural numbers between 18² and 19² = 2(18) 

= 36

Therefore, the required value is 36.

✦ Try This: How many natural numbers lie between 15² and 16²? 

We have to find the number of natural numbers that lie between 15² and 16².

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

Here, n = 15

n + 1 = 16

So, number of natural numbers between 15² and 16² = 2(15) 

= 30

Therefore, the required value is 30

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Sample Problem 3

How many natural numbers lie between 18² and 19²? a. 30, b. 37, c. 35, d. 36

Summary:

36 natural numbers lie between 18² and 19².

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