Question

The statement "If $2^2=5$, then I get first class" is logically equivalent to

• 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 1

Answer: (C)

$2^2\ne 5$ or I get first class.

if $2^2=5$, then he would get first class

if he would not get $2^2=5$ then he would not get first class

that means negation of $2^2=5$

which is equal to $2^2\ne 5$

so he can either get first class or not get first class.

which means there are two ways of representing it by substituting get first class with $2^2=5$

or substituting not get first class as $2^2\ne 5$

hence two ways

$2^2\ne 5$ or I get first class.

Not get first class or $2^2=5$

on seeing the options option C is correct.