JEE Main 2018MathematicsMathematical ReasoningEasyMCQ

JEE Main 2018 — Mathematical Reasoning Question with Solution

JEE Main 2018 (16 Apr Online)

Question

If p→~p∨~q is false, then the truth values of p and q are, respectively

Choose an option

Show full solutionCorrect option: B
Correct answer
BT, T

Step-by-step explanation

p→q has truth value false only when p is true & q is false. Hence, truth value of p is true.

Now, ~p∨~q is false only when ~p & ~q both are false.

Hence, p and q are both true.

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Mathematical Reasoning chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2018, covering the Mathematical Reasoning chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.