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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.

Difficulty: Easy

Statement I alone is sufficient, but Statement II alone is not sufficient.
Statement II alone is sufficient, but Statement I alone is not sufficient.
Both statements I and II together are sufficient, but neither alone is sufficient.
Either statement I or statement II alone is sufficient.
Even both statements I and II together are not sufficient.

Correct Answer: Even both statements I and II together are not sufficient.

Explanation:

Reasoning
Statement 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 Answer
Even both statements I and II together are not sufficient.

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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.

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