A) if 2 is not prime, then 3 is not odd
B) 2 is prime and 3 is. not odd
C) 2 is not prime and 3 is odd
D) if 2 is not prime, then 3 is odd
Correct Answer: B
Solution :
Let \[p=2\] is prime \[q=3\] is odd \[p\to q=2\] is prime, then 3 is odd. Negation of \[p\to q\] is \[\tilde{\ }(p\to q)\] \[\Rightarrow \] \[p\wedge \tilde{\ }q\] \[\Rightarrow \] 2 is prime and 3 is not odd.
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