Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some keys are chains.
All chains are locks.
No lock is a rock.
Conclusions:
(I) No rock is a key.
(II) At least some keys are locks.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Only conclusion II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No rock is a key → False (It is possible, but no definite conclusion can be drawn.)
II. At least some keys are locks → True (As some keys are chains and all chains are locks, so, at least some keys are locks is also true.)
Hence, Only conclusion II follows is the correct answer.