Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If p and q are two statements, then p 
~ (p 
~ q) is equivalent to
A
p 
g
g
B
p
C
D
~p 
q
q
Text Solution
Verified by ExpertsThe correct answer is:
B
p
As we know that p 
q 
~ p 
q
Hence p 
~ (~p 
~ q) 
p 
~ (~p 
~g)
as we know that ~ (p 
q) 
~p 
~q
Hence p V~(~ p 
~q) 
p 
(p 
q)
Therefore p 
(p 
g) 
p
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 …