In the following questions below are given some statements followed by some Conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the Conclusions and then decide which of the given Conclusion logically follows the given statements.
  Statements:
Some black are red. Some red are cups. Some cups are plates.
Conclusions :
I. All black are cups.
II. Some black are plates.
III. No black are plates.

Options

A. Both I and II
B. Only III
C. All Conclusions follow
D. None follows

Explanation

All the three Premises are Particular Affirmative (I-type). No Conclusion follows from the two Particular Premises.
Conclusion II and Conclusion III form Complementary Pair. Therefore, either Conclusion II or Conclusion III follows.