Q23
Question : 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
AnswerE.
Both I and II are sufficient
Answer: Option D
Solution
Answer: Option D
Solution:
From I: “Only boys play football” tells us that if anyone plays, they must be boys, but it does not state how many boys actually play (could be anywhere from 0 to all boys). Hence, not sufficient.
From II: “There are 40 boys and 30 girls” only gives class composition; it provides no information about who plays football. Hence, not sufficient.
Together (I + II): We know only boys can play and there are 40 boys, but we still don’t know how many of those boys actually play (could be any number from 0 to 40). Still not sufficient.
Therefore: The exact number of students who play football cannot be determined from the given statements.