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Question: Answered & Verified by Expert
The negation of the expression q∨((~q)∧p) is equivalent to
MathematicsMathematical ReasoningJEE MainJEE Main 2023 (01 Feb Shift 1)
Options:
  • A (~p)∧(~q)
  • B p∧(~q)
  • C (~p)∨(~q)
  • D (~p)∨q
Solution:
2296 Upvotes Verified Answer
The correct answer is: (~p)∧(~q)

The negation of q∨((~q)∧p) is

~(q∨((~q)∧p))

≡~q∧~((~q)∧p)

≡~q∧(q∨~p)

≡(~q∧q)∨(~q∧~p)

≡(~q∧~p)

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