Show that square of an odd positive integer can be of the form 6q + 1 or 6q + 3 for some integer q.
Refer the solution of part (2) in the given link :
https://www.meritnation.com/ask-answer/question/q-show-that-any-positive-odd-integer-is-of-the-form-4q-1-or/real-numbers/5067490
https://www.meritnation.com/ask-answer/question/q-show-that-any-positive-odd-integer-is-of-the-form-4q-1-or/real-numbers/5067490