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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Mathematical Reasoning

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

If p, q and r are three logical statements then the truth value of...

If p,qandrp, q and r are three logical statements then the truth value of the statement \left(p ∧ q\right)∨(q→r)∨ \left(q \to r\right), where pp is true, is

Options

  1. ATrue if qq is true
  2. BFalse if qq is true
  3. CTrue if qq is false
  4. DFalse if qq is false

Correct answer

C. True if qq is false

Step-by-step solution

Clearly, if qq is False, pp is True, then \left(p ∧ q\right)isTrue<br/>Hence,(p∧q)is True<br />Hence, \left(p ∧ q\right)∨ \left(q \to r\right)isTrueirrespectiveofis True irrespective ofr
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