Question: How many students in a class play football? Statements: I. No girls…
2026
Question: How many students in a class play football?
Statements:
I. No girls in the class 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, even together
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Correct answer: D
Answer: Neither statement alone nor the two statements together are sufficient to determine how many students play football.
Statement I: No girls in the class play football. This only tells us that any football player must be a boy, but it does not state how many boys actually play football. So statement I alone is insufficient.
Statement II: There are forty boys and thirty girls in the class. This gives the gender count but says nothing about football participation. So statement II alone is insufficient.
Combined: We know there are 40 boys and that no girls play football, but we still do not know how many boys play football. The answer could be any number from 0 to 40. Hence, even both statements together are insufficient.