How many daughters does D have?
Statement (I) : B and F are sisters of A.
Statement (II) : C is the brother of A and F.
Statement (III) : C and E are sons of D.
Choose the correct option to decide whether the data provided in the statements are sufficient to answer the question:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → All the statements together are not sufficient
To count D’s daughters we need to know who D’s children are and the gender of each. The statements are read one after another:
Statement (I): A, B and F are siblings, and B and F are female (sisters). A’s gender is not given.
Statement (II): C is the brother of A and F, so C is male and belongs to the same set of siblings: A, B, C and F.
Statement (III): C and E are sons of D. Since C is D’s child, his siblings A, B and F are D’s children too, and E is another son.
All three statements together make D the parent of A, B, C, E and F, with B and F daughters and C and E sons. But A’s gender is never given, so D has either two or three daughters, and the number cannot be fixed.
