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:
All cartoons are boxes.
No box is a pen.
Some cartoons are locks.
Conclusions:
I. Some boxes are locks.
II. No pen is a cartoon.
III. No pen is a lock.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. Both conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some boxes are locks → True (As all cartoons are boxes and some cartoons are locks, so, some boxes are locks).
II. No pen is a cartoon → True (As all cartoons are boxes and no box is a pen, so, no pen is a cartoon).
III. No pen is a lock → False (As there is no definite relation between lock and pen).
Hence, Both conclusions I and II follow.