# 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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