Match List-I with List-II: List-IList-II (a) p→q (i) ¬(q→¬p) (b) p∨q (ii) p∧¬q (c) p∧q (iii) ¬p→q (d)…
Using \( p\to q\equiv\lnot p\lor q \): (a) \( p\to q \) matches (iv) \( \lnot p\lor q \); (b) \( p\lor q\equiv\lnot p\to q \), matching (iii); (c) \( \lnot(q\to\lnot…
Choose your answer
Match List-I with List-II:
| List-I | List-II |
|---|---|
| (a) p→q | (i) ¬(q→¬p) |
| (b) p∨q | (ii) p∧¬q |
| (c) p∧q | (iii) ¬p→q |
| (d) ¬(p→q) | (iv) ¬p∨q |
Answer and explanation
Correct answer D
Using : (a) matches (iv) ; (b) , matching (iii); (c) , matching (i); and (d) , matching (ii). Pairing with is wrong because that expression reduces to a conjunction, not a disjunction.
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UGC NET Computer Science and Applications