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Question: Answered & Verified by Expert
If $p \rightarrow(\sim q \vee r)$ is false, then the truth values of $p, q$ and $r$ are
MathematicsMathematical ReasoningCOMEDKCOMEDK 2012
Options:
  • A T, T, F
  • B T, F, T
  • C $\mathrm{F}, \mathrm{T}, \mathrm{T}$
  • D $\mathrm{F}, \mathrm{F}, \mathrm{T}$
Solution:
2949 Upvotes Verified Answer
The correct answer is: T, T, F
Given that, $p \rightarrow(\sim q \vee r)$ is false. $\Rightarrow(\sim q \vee r)$ is false and $p$ is true. $\Rightarrow q$ is true, $r$ is false and $p$ is true.

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