Three 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 pencils are erasers.
All sharpeners are erasers.
All compasses are sharpeners.
Conclusions:
I. All compasses are erasers.
II. Some compasses are pencils.
III. Some erasers are compass.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusions I and III follow
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All compasses are erasers → True (As all compasses are sharpeners and all sharpeners are erasers)
II. Some compasses are pencils → False (As it is not given that pencils and sharpeners have a relation)
III. Some erasers are compass → True (As all compasses are erasers, some erasers will be compasses)