# IIT Kanpur

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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
0
I think answer should be C.
1
i think option C is correct because p->q is equivalent to (NOT p) or q.

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

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