Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Mathematical Reasoning/
Question 420006
JEE Mathematics · Hard

Mathematical Reasoning: JEE Main MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
JEE MainHardQuestion 420006

Question

Which of the following is a tautology?
  1. A
    (p ∧ q) → p
    Correct
  2. B
    p → (p ∧ q)
  3. C
    p ∧ (p → q) → ¬q
  4. D
    (p ∨ q) ∧ ¬p

Correct answer

(p ∧ q) → p

Explanation

(p ∧ q) → p: If p AND q are true, then p must be true — this is always valid (tautology). The truth of the conjunction implies the truth of each conjunct.

Review Mathematical Reasoning notesStart timed chapter practice