tmua.fyi Paper 2 Challenge 1 · Question 15

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tmua.fyi Paper 2 Challenge 1 · Q15

Paper 2Logic & proof

Consider the statement: “For all integers $a,b,c$ : if $a$ divides $bc$ then $a$ divides $b$ or $a$ divides $c$ .” This statement is:

Atrue

Bfalse, and

a=4,b=2,c=2

is a counterexample

Cfalse, and

a=5,b=2,c=3

is a counterexample

Dfalse, and

a=3,b=2,c=6

is a counterexample

Etrue, because it holds whenever

a

is prime

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