Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let
and
are two mathematical operators. If p
(p
q) is not a tautology, then
and
can be
Text Solution
Verified by ExpertsThe correct answer is:
B
=> and A respectively
is false only if p is false and (p
q) is false which is never possible simultaneously. Hence,
is a tautology
is false only if p is true and (p
g) is false which is never possible simultaneously. Hence,
is a tautology
is false only if p is true &
is false which is possible when p is true &q is false. Hence,
is not a tautology
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.
Similar Questions
Explore conceptually related problems
The logically equivalent proposition of p q is
The negation of is
The contrapositive of the statement "If two triangles are identical, then they are similar" is
If p (~ p q) is false, then the truth values of p and q are respectively
If p: A man is happy and q: A man is rich are two statements, then the statement, "If a man is not …
If p (q r) is False, then the truth values of p, g, r are respectively (where T is True and F is …
and
respectively
and
respectively
and
respectively