Question

For two sets \(A, B\), if \(n(A)=15\), then what is \(n(B)\)? Statements: (I) \(n(A \cup B)=30\) (II) \(n(A \cap B)=8\)

• A. Statement (I) alone is sufficient to answer the question, but (II) alone is not sufficient.
• B. Statement (II) alone is sufficient to answer the question, but (I) alone is not sufficient.
• C. Both the statements (I) and (II) are sufficient to answer the question, but neither statement alone is sufficient.
• D. Both the statements (I) and (II) together are not sufficient to answer the question and additional data are required.

Hint:

For set-based data sufficiency problems, always use the union formula and check whether all unknowns can be determined.

Answer 1

The Correct Option is C