1. Show that any positive odd integer is of the
69 +1 or 69 +3 or 69 + 5 where q is some integer.
[NCERT EXERCISE]
2. If n is any positive integer, then show that nº-n is
divisible by 2.
3. Show that if any positive integer is in the form 6q+5,
then it will be in the form 3q +2, where q is any integer
but its converse is not true.
4. Show that the square of an odd positive integer is of
the form 8m +1, for some whole number m.
[NCERT EXEMPLAR]
5. Show that the square of any odd integer is of the form
4q + 1, for some integer q.
[NCERT EXEMPLAR]
6. Use Euclid's division lemma to show that the square
Onur nocitive integer is either of the form 3 m or
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