Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:
All keys are locks.
All locks are handles.

Conclusions:
I. All locks are keys.
II. All handles are keys.

A

Only conclusion I follows

B

Only conclusion II follows

C

Neither conclusion I nor II follows

D

Both conclusions I and II follow