How many sisters does K have? I. M is the sister of K. II. K's mother has three children.

Data in statement I alone sufficient
Data in statement II alone sufficient
Both together necessary
Both together not sufficient

Correct answer: Both together necessary

Solution

Statement I tells us only that M is K's sister, so K has at least one sister, but not how many. Statement II says K's mother has three children, but it does not specify their genders. Together, they still do not uniquely determine the number of sisters unless the family composition is inferred from both statements, so both are needed.

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