Mathematics · 2023
JEE Main · 10 April 2023, Shift 2 · Q20
The statement ∼[p (∼(p ∧ q))] is equivalent to
The statement $\displaystyle \sim[p \vee(\sim(p \wedge q))]$ is equivalent to
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle (p \wedge q) \wedge(\sim p)$
More from Mathematical Reasoning
- Which of the following statements is a tautology?2023
- Let Δ, ∇ ∈{∧, } be such that (p → q) Δ(p ∇ q) is a tautology. Then2023
- If p, q and r are three propositions, then which of the following combination of truth values of p, q and r makes the logical expression {(p q) ∧((∼…2023
- (S 1)(p ⇒ q) (p ∧(∼ q)) is a tautology (S2) ((∼ p) ⇒(∼ q)) ∧((∼ p) q) is a contradiction. Then2023
- The statement (p ∧(∼ q)) ((∼ p) ∧ q) ((∼ p) ∧(∼ q)) is equivalent to ____2023
- Statement (P ⇒ Q) ∧(R ⇒ Q) is logically equivalent to2023
- Among the statements (S1): (p ⇒ q) ((∼ p) ∧ q) is a tautology (S2): (q ⇒ p) ⇒((∼ p) ∧ q) is a contradiction2023
- Consider the following statements: P: I have fever Q: I will not take medicine R: I will take rest. The statement "If I have fever, then I will take…2023
JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.