TMUA 2019 Paper 2 Q5 — Worked Solution

P2·Number Theory & Divisibility, Logic & Quantifiers·6.0Official · 2019 · Q5

necessary-sufficientdivisibility

Consider the following statement about the positive integers

a

b

and

n

(∗)

ab

is divisible by

n

The condition 'either $a$ or $b$ is divisible by $n$ ' is:

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