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Question: Answered & Verified by Expert

If the truth value of the Boolean expression ((pq)(qr)(~r))(pq) is false, then the truth values of the statements p, q, r respectively can be:

MathematicsMathematical ReasoningJEE MainJEE Main 2021 (26 Aug Shift 1)
Options:
  • A FTF
  • B TFF
  • C TFT
  • D FFT
Solution:
2723 Upvotes Verified Answer
The correct answer is: TFF
pqrpqqr~r(pq)(qr)~rpq((pq)(qr)~r)pq T TTTTFFTTTTFTFTFTTTFTTTFFFTTFFTTTTFFFTTTTFFFTFTFTFTFFTFFTFTFFFTFFFFTTFFT

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