Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Mathematical Reasoning/
Question 420002
JEE Mathematics · Easy

Mathematical Reasoning: Logical connectives MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
Logical connectivesEasyQuestion 420002

Question

The truth table for p → q (implication) shows it is FALSE only when:
  1. A
    p is TRUE and q is FALSE
    Correct
  2. B
    p is FALSE and q is TRUE
  3. C
    Both are FALSE
  4. D
    Both are TRUE

Correct answer

p is TRUE and q is FALSE

Explanation

p → q (if p then q) is FALSE only in the case where the hypothesis (p) is TRUE but the conclusion (q) is FALSE. In all other cases it is TRUE.

Review Mathematical Reasoning notesStart timed chapter practice