TMUA Specimen Paper 2 Q8 — Worked Solution

P2·Number Theory & Divisibility·6.0Specimen · P2 · Q8

divisibilitymultiple-of-6modular-arithmetic

Consider the following statement about the positive integer

n

(∗)

'The sum of the four consecutive integers, the smallest of which is

n

, is a multiple of 6.'

Which one of the following is true?

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