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When a number is divided by 3 it leaves remainder as 5. What will be the remainder when 3n + 3 are divided by 3?(a) 0(b) 3(c) 9(d) 6This question was posed to me during an interview for a job.The above asked question is from Euclid’s Division Lemma in chapter Real Numbers of Mathematics – Class 10

Answer»

Right answer is (a) 0

Explanation: LET the number be N.

If the number is divided by 3 it leaves 5 as remainder.

By EUCLID’s division lemma,

n = 3q + 5 where q is quotient

3N = 3(3q+5)

3n = 9Q + 15

3n + 3 = 9q + 18 = 3 × 3q + 3 × 6 = 3 (3q + 6)

Hence, the remainder is 0.



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