Question

Select the option, which is the logical equivalent of the statement given below:

If Govind is a singer then he will sing a song.

1. If Govind is not a singer then he will not sing a song.
2. If Govind is a writer then he will write a story.
3. If Govind sings a song then he must be a singer.
4. If Govind does not sing a song then he must not be a singer.

Answer 1

Correct Answer - Option 4 : If Govind does not sing a song then he must not be a singer.

Given statement: If Govind is a singer then he will sing a song.

It states that if someone is a singer, then he can sing a song. Therefore, option 4 is equivalent of the statement as if you cannot sing a song, then you are not a singer because according to the given statement singing a song means you are a singer.

Hence, 'option 4' is the correct answer.