Answer:
Let a be an odd integer and b = 4. By division algorithm,
there exists integers q and r such that
,
where
On putting r = 0, 1, 2 and 3 we get a = 4q, 4q + 1, 4q +
2 and 4q + 3
But a is an odd integer
Hence a = 4q + 1 or a = 4q + 3.
Hence the result.
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