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 cricketers are sportspersons.
Some players are sportspersons.
Conclusions:
I. No cricketer is a player.
II. Some cricketers are players.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Either conclusion I or II follows
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No cricketer is a player → Possible (As some players are sportspersons, some of them may intersect with players.)
II. Some cricketers are players → Possible As some players are sportspersons, some of them may not intersect with players.)
In this case, only one conclusion can be true.