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Question: Answered & Verified by Expert
If $p: 25$ is an odd prime number.
$q: 14$ is a composite number and
$r: 64$ is a perfect square number.
Then which of the following statement pattern is true?
MathematicsMathematical ReasoningMHT CETMHT CET 2022 (10 Aug Shift 2)
Options:
  • A $\sim(q \wedge r) \vee p$
  • B $(p \wedge q) \vee r$
  • C $(p \vee q) \wedge(\sim r)$
  • D $\sim p \vee(q \wedge r)$
Solution:
2780 Upvotes Verified Answer
The correct answer is: $\sim p \vee(q \wedge r)$
Here, $P \equiv \mathrm{F}, q \equiv \mathrm{T}, r \equiv \mathrm{T}$
$\Rightarrow \sim p \vee(q \wedge r)$ is true

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