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)
It is not mentioned whether all the boys or a proportion of them play football.This Question Belongs to Competitive Reasoning >> Data Sufficiency
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Comments ( 1 )
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
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.