If p and q are simple propositions, then is false when | CGP Edu

Maths Mathematical Logic and Boolean Algebra ( Not In Syllabus ) Hard Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 11, 2026

If p and q are simple propositions, then is false when

A

p is true and q is true

B

p is false and q is true

C

p is true and q is false

D

Both p and q are false

Text Solution

Verified by Experts

The correct answer is:

is false, when p is true and q is false.

Since q , r are false ∴ ∴ is false.

Since r is false ∴ ∴ ~ r is true.

Since is true ∴ ∴ p is true.

Previous Question Next Question

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

Negation of the proposition : If we control population growth, we prosper

Which Venn diagram represent the truth of the statement “All smokers are drinkers and all drinkers …

For the circuits shown below, the Boolean polynomial is

Let p be the proposition : Mathematics is a interesting and let q be the propositions that Mathemat…

An AND gate is the Boolean function defined by

Negation of the compound proposition : If the examination is difficult, then I shall pass if I stud…

CG

CGP Question Assistant Question Bank + AI Help

Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.

Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.