Mathematical Reasoning

JEE Main Mathematics · 24 questions · not in the 2024+ syllabus

All questions, latest first

• Negation of p ∧(q ∧ ∼(p ∧ q)) is202315 April, Shift 1 · Q20
• The statement (p ∧(∼ q)) ((∼ p) ∧ q) ((∼ p) ∧(∼ q)) is equivalent to ____202313 April, Shift 2 · Q20
• The negation of the statement ((A ∧(B C)) ⇒(A B)) ⇒ A is202313 April, Shift 1 · Q20
• Among the two statements (S 1):(p ⇒ q) ∧(p ∧(∼ q)) is a contradiction and (S 2):(p ∧ q) ((∼ p) ∧ q) (p ∧(∼ q)) ((∼ p) ∧(∼ q)) is…202312 April, Shift 1 · Q20
• The converse of ((∼ p) ∧ q) ⇒ r is202311 April, Shift 2 · Q20
• The number of ordered triplets of the truth values of p, q and r such that the truth value of the statement (p q) ∧(p r) ⇒(q r)…202311 April, Shift 1 · Q23
• The statement ∼[p (∼(p ∧ q))] is equivalent to202310 April, Shift 2 · Q20
• The negation of the statement (p q) ∧(q (∼ r)) is202310 April, Shift 1 · Q20
• The negation of (p ∧(∼ q)) (∼ p) is equivalent to20238 April, Shift 2 · Q20
• Negation of (p ⇒ q) ⇒(q ⇒ p) is20238 April, Shift 1 · Q20
• Among the statements (S1): (p ⇒ q) ((∼ p) ∧ q) is a tautology (S2): (q ⇒ p) ⇒((∼ p) ∧ q) is a contradiction20236 April, Shift 2 · Q20
• Statement (P ⇒ Q) ∧(R ⇒ Q) is logically equivalent to20236 April, Shift 1 · Q20
• Which of the following statements is a tautology?20231 February, Shift 2 · Q80
• The negation of the expression q ((∼ q) ∧ p) is equivalent to20231 February, Shift 1 · Q80
• The number of values of r ∈{p, q, ∼ p, ∼ q} for which ((p ∧ q) ⇒(r q)) ∧((p ∧ r) ⇒ q) is a tautology, is:202331 January, Shift 2 · Q80
• (S 1)(p ⇒ q) (p ∧(∼ q)) is a tautology (S2) ((∼ p) ⇒(∼ q)) ∧((∼ p) q) is a contradiction. Then202331 January, Shift 1 · Q80
• Consider the following statements: P: I have fever Q: I will not take medicine R: I will take rest. The statement "If I have…202330 January, Shift 2 · Q80
• Among the statements: (S1) ((p q) ⇒ r) ⇔(p ⇒ r) (S2) ((p q) ⇒ r) ⇔((p ⇒ r) (q ⇒ r))202330 January, Shift 1 · Q80
• The statement B ⇒((∼ A) B) is equivalent to:202329 January, Shift 2 · Q80
• 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…202329 January, Shift 1 · Q78
• Let Δ, ∇ ∈{∧, } be such that (p → q) Δ(p ∇ q) is a tautology. Then202325 January, Shift 2 · Q80
• The statement (p ∧(∼ q)) ⇒(p ⇒(∼ q)) is202325 January, Shift 1 · Q80
• Let p and q be two statements. Then ∼(p ∧(p ⇒ ∼ q)) is equivalent to202324 January, Shift 2 · Q80
• The compound statement (∼(P ∧ Q)) ((∼ P) ∧ Q) ⇒((∼ P) ∧(∼ Q)) is equivalent to202324 January, Shift 1 · Q80