Q.By giving a counter example, show that the following statement is false.
If n is an odd integer, then n is prime.

A counter-example is a single specific situation in which a statement fails to hold, and producing just one such situation is enough to prove the statement false, however plausible or widely believed it might otherwise appear. The technique is used specifically to DISPROVE a statement — for instance, the claim "If n is an odd integer, then n is prime" is shown false by the single counter-example n = 9, which is odd but not prime; no further argument is required once a genuine counter-example has been found. It is essential to keep the logic of counter-examples asymmetric: while one counter-example is sufficient to disprove a statement, no number of supporting examples — …