$($a$)$ Using truth table method, show that the hypotheses $"$If Subas is more successful than Sriram, then Subas has worked harder to deserve success." and "Subas has not worked harder than Sriram." imply the conclusion "Subas is not more successful than Sriram."

$\%$

$($b$)$ Show that the hypotheses $"(qvvr)s","pq"$ and $"p"(3$mply $"s."\%$

$(3$ marks$)$