Which of the following statements is logically equivalent to the statement - "No plants are murderers"?

The correct answer is No murderers are plants.
Key Points

The contrapositive of a statement is formed by negating both the subject and predicate of the original statement and then reversing their order. The contrapositive of a statement is logically equivalent to the original statement.

The statement "No plants are murderers" is "No murderers are plants."

• This is logically equivalent to the original statement because if it were true that there were some plants that were murderers, then it would also be true that there were some murderers that were plants.
• Likewise, if it were true that there were some murderers that were not plants, then it would also be true that there were some plants that were not murderers.

"No plants are non-murderers" -

• This statement is not logically equivalent to the original statement "No plants are murderers."
• It is a negative statement that claims that there are no plants that are also non-murderers, but it does not necessarily imply anything about the relationship between plants and murderers.

"No murderers are plants" -

• This statement is the contrapositive of the original statement "No plants are murderers."
• It is logically equivalent to the original statement and claims that there are no murderers that are also plants.

"All non-murderers are non-plants" -

• This statement is not logically equivalent to the original statement "No plants are murderers."
• It is a positive statement that claims that all non-murderers are also non-plants, but it does not necessarily imply anything about the relationship between plants and murderers.

"Some non-murderers are not non-plants" -

• This statement is a double negative that is difficult to understand and does not convey a clear meaning.
• It is not logically equivalent to the original statement "No plants are murderers.