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Question: Answered & Verified by Expert
If p,q and r are three logical statements then the truth value of the statement p∧~q∨q→r, where p is true, is
MathematicsMathematical ReasoningJEE Main
Options:
  • A True if q is true
  • B False if q is true
  • C True if q is false
  • D False if q is false
Solution:
2790 Upvotes Verified Answer
The correct answer is: True if q is false
Clearly, if q is False, p is True, then p∧~q is True
Hence, p∧~q∨q→r is True irrespective of r

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