Log in to add a comment

## Answers

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

The question is not rightly formed.... It should be

any integer when divided by 4 gives a quotient q, and a reminder which is either 0, 1, or 2 or 3...

so N = 4q or 4 q +1 or 4 q+2 or 4 q+3 for a nonnegative integer q.

4 q and 4 q + 2 are even numbers. it is quite obvious.

hence any odd positive integer is of the form 4q +1 or 4 q +3

equivalently also we can say N is of the form: 4 q - 1 or 4q - 3

*.. Also***any odd positive integer***q should be a positive integer of 0.*any integer when divided by 4 gives a quotient q, and a reminder which is either 0, 1, or 2 or 3...

so N = 4q or 4 q +1 or 4 q+2 or 4 q+3 for a nonnegative integer q.

4 q and 4 q + 2 are even numbers. it is quite obvious.

hence any odd positive integer is of the form 4q +1 or 4 q +3

equivalently also we can say N is of the form: 4 q - 1 or 4q - 3