Logical Deduction

Two statements are given followed by three conclusions numbered I, II and III. 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.

No door is a lock.

Conclusions

I. Some locks are doors.

II. Some locks are keys.

III. No key is a door.