Question

Select the statement, which is the logical equivalent to the given statement. “If you know the answer, then you don’t guess.”
1. If you don’t know the answer, then you guess.
2. You don’t know the answer, or you don’t guess.
3. You know the answer and you guess.
4. If you don’t guess, then you know the answer.

Answer 1

Correct Answer - Option 2 : You don’t know the answer, or you don’t guess.

Statement : “If you know the answer, then you don’t guess.”

Option 1) If you don’t know the answer, then you guess. → This is totally converse of statement given so will not be logically statement.   

Option 2) You don’t know the answer, or you don’t guess. → This statement will be logically correct

Option 3) You know the answer, and you guess. → As per the statement it is given about when you donot guess nothing.    

Option 4) If you don’t guess, then you know the answer. → This is totally converse of statement given so will not be logically statement.   

Hence, Option 2 is correct answer.