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 bean bags are chairs.
All chairs are couches.
All couches are sofas.
Conclusions:
I. Some sofas are couches.
II. Some couches are bean bags.
III. All couches are bean bags.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Only conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some sofas are couches → True (As all couches are sofas, so some sofas can be couches.)
II. Some couches are bean bags → True (As all bean bags are chairs, and all chairs are couches, so, some bean bags are couches and the reverse is also true i.e. some couches are bean bags.)
III. All couches are bean bags → False (It is possible, but no definite conclusion can be drawn.)