How many students in a class play football ? Statements : I. Only boys play…
2024
How many students in a class play football ?
Statements :
I. Only boys play football.
II. There are forty boys and thirty girls in the class.
- A.
I alone is sufficient while II alone is not sufficient
- B.
II alone is sufficient while I alone is not sufficient
- C.
Either I or II is sufficient
- D.
Neither I nor II is sufficient
Attempted by 27 students.
Show answer & explanation
Correct answer: D
Key insight: restricting who can play (only boys) does not give how many actually play.
Using the statement that only boys play football: this does not specify how many boys play. The number of football players could be any integer from 0 up to the total number of boys, so the exact count is not determined.
Using the statement that there are forty boys and thirty girls: these are class counts but do not indicate which students play football, so the number of football players is not determined.
Using both statements together: combining them only restricts football players to be among the forty boys, so the number of football players could still be any integer from 0 to 40. Thus the exact number remains undetermined.
Therefore, neither statement alone (and even both together) is sufficient to determine how many students in the class play football.