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GATE Overflow Test Series | Discrete Mathematics | Test 1 | Question: 27

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Consider a propositional language where

  • $p$ means "Bonny is happy",
  • $q$ means "Bonny plays a music",
  • $r$ means "Seema is happy".

The propositional formula for the sentence:

"if Bonny is happy and plays a music then Seema isn’t happy" is?

(Mark all the appropriate choices)

  1. $p \wedge q \rightarrow \neg r$
  2. $p \vee q \rightarrow \neg r$
  3. $\neg p \vee \neg q \vee \neg r$
  4. $p \vee q \rightarrow  r$
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$p \wedge q \rightarrow \neg r$ is the formal representation of the sentence given.
It can also be represented as  $\neg p \vee \neg q \vee \neg r$.
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