Solve this following


For the statements $\mathrm{p}$ and $\mathrm{q}$, consider the following compound statements :

(a) $(\sim \mathrm{q} \wedge(\mathrm{p} \rightarrow \mathrm{q})) \rightarrow \sim \mathrm{p}$

(b) $((\mathrm{p} \vee \mathrm{q}) \wedge \sim \mathrm{p}) \rightarrow \mathrm{q}$

Then which of the following statements is correct?


  1. (a) and (b) both are not tautologies.

  2. (a) and (b) both are tautologies.

  3. (a) is a tautology but not (b).

  4. (b) is a tautology but not (a).

Correct Option: , 2



Both are tautologies


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