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The negation of the proposition ''If 2 p...

The negation of the proposition ''If 2 prime, then 3 is odd'' is

A

2 is prime and 3 is not odd

B

2 is prime and 3 is odd

C

2 is not prime and 3 is odd

D

if 2 is not prime, then 3 is odd

Text Solution

Verified by Experts

The correct Answer is:
A
Let p : 2 is prime and q : 3 is odd
Then, given statement becomes `p to q`
Negation of `p to q` is `~(p to q)-= p ^^ ~ q`
`therefore` 2 is prime and 3 is not odd.
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