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
E. Both I and II are sufficient
Answer: Option D
Solution (By Examveda Team)
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.
This Question Belongs to Competitive Reasoning >> Data Sufficiency
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Comments (2)
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
E. Both I and II are sufficient
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
E. Both I and II are sufficient
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
E. Both I and II are sufficient
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
E. Both I and II are sufficient
Only boys play football and there are 40 boys thus among 70 students, only 40 students play football hence option E is accurate.
I. Only boys play football.
This statement implies that the number of students who play football is equal to the number of boys in the class.
II. There are forty boys and thirty girls in the class.
This statement provides the total number of boys in the class, which is forty.
Combining both statements:
Since only boys play football according to statement I, the number of students who play football is equal to the number of boys in the class, which is forty.
So, both statements together are sufficient to answer the question.
The correct answer is:
E. Both I and II are sufficient.