Question

questions is in picture

Answer 1

Hello friend

Here goes your answer

I'll show it by Euclid's division lemma

a=bq+r

Let b=4

So r can take the values 0,1,2,3

When r=0

a=4q+0

Here it is divisible by 2 so it is an even number

When r=1

a=4q+1

This is an odd number

When r=2

a=4q+2

It is divisible by 2 so it is an even number

When r=3

a=4q+3

It is an odd number

So all the positive odd numbers are of the form 4q+1 or 4q+3