wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Mark the correct answer in each of the following:
If p is negation of q, then (p q) v (q p) is a
(a) tautology
(b) contradiction
(c) contingency
(d) none of these

Open in App
Solution

Given ~p = q
Then, (p ⇒ q) ∨ (q ⇒ p)
is (p ⇒ ~p) ∨ (~p ⇒ p)
i.e. both the possibility of occurrence is observed.
Hence, statement is a tautology statement.

Hence, the correct answer is option A.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Mathematical Statements
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon