TMUA 2021 Paper 2 Q4 — Worked Solution

P2·Number Theory & Divisibility, Logic & Quantifiers·5.5Official · 2021 · Q4

counterexamplefactorsfor-all-statement

Consider the following claim about positive integers

a

b

and

c

:if $a$ is a factor of $b c$ , then $a$ is a factor of $b$ or $a$ is a factor of $c$ Which of the following provide(s) a counterexample to this claim?

a = 5, b = 10, c = 20

a = 8, b = 4, c = 4

III

a = 6, b = 7, c = 12

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TMUA 2021 Paper 2 Question 4

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