Let’s check out to see if the set of odd natural number divisible by 2 is a null set or not.

Steps:

List out natural numbers divisible by 2

List of natural numbers are 1, 2, 3, 4, 5,6…… so on

Now Odd natural numbers = 1, 3, 5, 7, 9, 11, …

We know that odd numbers cannot be divided by 2 to these are excluded

∴ The set of odd natural numbers will not have any number which can be divided by 2

∴ the Set of odd natural numbers divisible by 2 will be an empty Set or a null Set

### FAQ

### The Set of odd natural numbers divisible by 2 will not be a null set.

False

### Give an example of a set of even natural numbers

Even natural number example

{2,4,6,8,10…..)

### What are natural numbers?

Natural numbers are positive integers or non-negative numbers

e.g **1, 2, 3, 4, 5, 6……….. ∞**

### Which of the following are examples of the null set?

(a)Set of odd natural numbers divisible by 2

(b)Set of even prime numbers

Answer is (a)