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

Correct answer

C. True if qq is true

Step-by-step solution

Clearly, if qq is true, 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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