Question:

What are the ages of X and Y?
Statement A
A. The difference in their ages is $6$.
Statement B
B. The product of their ages is divisible by $6$.

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In data sufficiency, if multiple integer pairs fit all given conditions, the question cannot be answered.
Updated On: Aug 5, 2025
  • The question can be answered by one of the statements alone but not by the other.
  • The question can be answered by using either statement alone.
  • The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
  • The question cannot be answered even by using both statements together.
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The Correct Option is D

Solution and Explanation

Statement A gives only the age difference, not enough to find individual ages. Statement B gives a divisibility condition, but infinitely many pairs satisfy it. Even combined, multiple pairs of ages satisfy both conditions, so ages cannot be uniquely determined.
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