Q94 / 180 · COMEDK 2012 · Mathematics

If $p \rightarrow(\sim q \vee r)$ is false, then the truth values of $p, q$ and $r$ are

  • Correct answer
    A
    T, T, F
  • B
    T, F, T
  • C
    $\mathrm{F}, \mathrm{T}, \mathrm{T}$
  • D
    $\mathrm{F}, \mathrm{F}, \mathrm{T}$

Solution

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.

Hence, the correct answer is option: 'A'.

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