Data Sufficiency — Class count: How many students in the class play football? Statement I: Only boys play football. Statement II: There are 40 boys and 30 girls in the class. Decide which statements are sufficient to answer the question. Choose the correct sufficiency option.
Verbal Reasoning
Data Sufficiency
Difficulty: Easy
Choose an option
Answer
Correct Answer: Even both statements I and II together are not sufficient.
Explanation
ReasoningStatement I restricts eligibility: if a student plays, they are a boy. It does not say all boys play.Statement II gives counts of boys and girls but not how many of the boys actually play.Even together, the number who play could be anywhere from 0 to 40 ⇒ cannot determine a unique value.
Final AnswerEven both statements I and II together are not sufficient.