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MHT CET · Maths · Mathematical Reasoning

Which of the following statement pattern is a tautology?

  1. A pqq
  2. B pqp
  3. C pqq
  4. D pqp
Verified Solution

Answer & Solution

Correct Answer

(B) pqp

Step-by-step Solution

Detailed explanation

Option a,pqq
=pqq
=pq
It is not a tautology since if p is true and q is false then pq is false.
Option b,p=qp
=pqp
=ppq
TqppT
It is a tautology since if q is true or false then Tq must be true.
Similarly, check other options.