Daniel J Smith Custom TMUA Set A Paper 2 · Question 13

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Daniel J Smith Custom TMUA Set A Paper 2 · Q13

Paper 2Logic & proof

Let $P$ and $Q$ be statements

Suppose exactly one of (if $P$ then $Q$ ) and (if $Q$ then $P$ ) is true

Suppose further that ( $P$ or $Q$ ) is true

Which statement must be true?

P

and

Q

) is true

BExactly one of

P

and

Q

is true

CBoth

P

and

Q

are false

D(if

\neg P

then

\neg Q

) is true

P

if and only if

Q

) is true

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