Q63 / 120 · VITEEE 2008 · Mathematics

Let $\mathrm{P}, \mathrm{Q}, \mathrm{R}$ and $\mathrm{S}$ be statements and suppose that $\mathrm{P} \rightarrow \mathrm{Q} \rightarrow \mathrm{R} \rightarrow \mathrm{P}$. if $\sim \mathrm{S} \rightarrow \mathrm{R}$, then

  • A
    $\mathrm{S} \rightarrow \sim \mathrm{Q}$,
  • Correct answer
    B
    $\sim Q \rightarrow S$
  • C
    $\sim \mathrm{S} \rightarrow \sim \mathrm{Q}$
  • D
    $Q \rightarrow \sim S$

Solution

But $\sim S \rightarrow R$ $\therefore \mathrm{Q} \rightarrow \mathrm{R}$, True $[$ As $\mathrm{P} \rightarrow \mathrm{Q} \rightarrow \mathrm{R} \rightarrow \mathrm{P}]$ Hence $\sim \mathrm{Q} \rightarrow \mathrm{S}$ is true

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

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