Statements
I. All children are students.
II. All students are players.
Conclusions
I. All students are children.
II. All children are players.
Which of the conclusions follow from the given statements?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Only II follows
“All X are Y” puts the whole circle of X inside the circle of Y. Both statements are of this kind, so the three circles sit one inside another: children inside students, and students inside players.
Conclusion I (All students are children) does not follow: the students circle is the bigger one, so some students may lie outside the children circle. “All children are students” cannot be turned round into “all students are children”.
Conclusion II (All children are players) follows: the children circle lies inside the students circle, which lies inside the players circle, so every child is a player.