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Question

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A. \[{2^2} = 5\]and I do not get first class

B. \[{2^2} = 5\]or I do not get first class

C. \[{2^2} \ne 5\] or I get first class

D. None of these

Answer

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Let's break the statement into two parts- first one is A and second one is B.

A: \[{2^2} = 5\]

B: I get 1st class

Here is the mathematical representation of above if and then statement

\[(A \to B)\] And

Contrapositive statement of it is \[(B \to A)\]

If I do not get first class, then \[{2^2} \ne 5\]

\[{2^2} \ne 5\] or I get first class.

Hence option (C) is correct.