UGC NET CSE | June 2014 | Part 2 | Question: 20

Question

Give a compound proposition involving propositions $p, q$ and $r$ that is true when exactly two of $p, q$ and $r$ are true and is false otherwise

• A. $(p\vee q \wedge \neg r) \wedge (p \wedge \neg q \wedge r) \wedge (\neg p \wedge q \wedge r)$
• B. $(p \wedge q \wedge \neg r) \wedge (p \vee q \wedge \neg r) \wedge (\neg p \wedge q \wedge r)$
• C. $(p \wedge q \wedge \neg r) \vee (p \wedge \neg q \wedge r) \wedge (\neg p \wedge q \wedge r)$
• D. $(p \wedge q \wedge \neg r) \vee (p \wedge \neg q \wedge r) \vee (\neg p \wedge q \wedge r)$

Answer 1

Answer is Option D]