If the statement "No lotuses are roses" is given as false, then which of the following statements can be inferred to be true ?

The statement inferred to be true is "Some lotuses are roses".

"No lotuses are roses" is a universal negative (E), taken here as false.

The contradictory of an E proposition is the particular affirmative (I).

When a proposition is false its contradictory must be true, so "Some lotuses are roses" is true.

This rests on the contradictory relation of E and I on the square of opposition.