Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

If S (p, q, r) = (~ p) ∨ [~ (q ∧ r)] is a compound statement, then S (~ p, ~ q, ~ r) is

1) ~ S (p, q, r)

2) S (p, q, r)

3) p ∨ (q ∧ r)

4) p ∨ (q ∨ r)

5) S (p, q, ~ r)

Solution: (4) p ∨ (q ∨ r)

S (p, q, r) = (~ p) ∨ [~ (q ∧ r)]

⇒ S (~ p, ~ q, ~ r) = ~ (~ p) ∨ [~ (~ q ∧ ~ r)]

= p ∨ [~ (~ q) ∨ ~ (~ r)]

= p ∨ (q ∨ r)

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