1.

Find all positive integers which when divided by 3 leaves remainder 2.

Answer»

All the positive integers when divided by 3 leaves remainder 2

By Euclid’s division lemma

a = bq + r, 0 ≤ r ≤ b

a = 3q + r where 0 < q < 3

a leaves remainder 2 when divided by 3

∴ The positive integers are 2, 5, 8, 11,…



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