In the following questions, a few statements have been given followed by some conclusions. Consider the statements to be true and answer which of the given conclusions are correct statements:

Statement I: Some roses are sunflower.

Statement II: Some sunflower are marigold.

Statement III: All marigold are lilies.

Statement IV: No rose is tulip.

Conclusion I: Some lilies are sunflower.

Conclusion II: Some lilies are roses.

Conclusion III: Some marigold are tulip.