Given below are three statements followed by three conclusions I, II and III. Considering the given statements to be true even if they seem to be at variance with commonly known facts, decide which conclusion(s) logically follows from the statements.

Statement:

All apples are bananas.

All grapes are bananas.

All bananas are plums.

Conclusion:

I. All apples are plums.

II. All grapes are plums.

III. Some grapes are bananas.