Mathematics · 2023
JEE Main · 25 January 2023, Shift 2 · Q80
Let Δ, ∇ ∈{∧, } be such that ( p → q ) Δ( p ∇ q ) is a tautology. Then
Let $\displaystyle \Delta, \nabla \in\{\wedge, \vee\}$ be such that $\displaystyle (\mathrm{p} \rightarrow \mathrm{q}) \Delta(\mathrm{p} \nabla \mathrm{q})$ is a tautology. Then
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \Delta=\vee, \nabla=\vee$
More from Mathematical Reasoning
- The statement ∼[p (∼(p ∧ q))] is equivalent to2023
- Which of the following statements is a tautology?2023
- 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.