IIT Kanpur

Question

8. If India is a stronger team than Australia then India will lose the cricket series. Which of the following is logically equivalent:
 A. If India lose the cricket series then India is a stronger team than Australia,
B. If India is weaker team than Australia then India will win the cricket series,
C. India is a weaker team than Australia or India will lose the cricket series,
D. India is a stronger team than Australia or India will win the cricket series

Comments

I think answer should be C.

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i think option C is correct because p->q is equivalent to (NOT p) or q.

Answer 1

Let P = India is a stronger team than Australia 
Q = India will lose the cricket series
If India is a stronger team than Australia then India will lose the cricket series = P$\rightarrow$Q

P$\rightarrow$Q  $\Leftrightarrow \sim P V Q$
C is the Correct Answer.
India is a weaker team than Australia or India will lose the cricket series,