How many daughters does D have?

**Statements:**
(I) B and F are sisters of A.
(II) C is the brother of A and F.
(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:

Question

How many daughters does D have?

**Statements:**  
(I) B and F are sisters of A.  
(II) C is the brother of A and F.  
(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:

Accepted Answer

1. **Analyze each statement individually**:  
   - **Statement I**: B and F are sisters of A.  
     This provides information about siblings but does not specify how many daughters D has.  
     **Not sufficient**.  
   - **Statement II**: C is the brother of A and F.  
     This adds information about a sibling relationship but does not clarify the number of daughters D has.  
     **Not sufficient**.  
   - **Statement III**: C and E are sons of D.  
     This specifies that D has two sons but does not provide information about daughters.  
     **Not sufficient**.

2. **Combine the statements**:  
   Even when combining all three statements, we know that D has two sons (C and E) and some siblings (B, F, A), but there is no clear information about how many daughters D has.

3. **Conclusion**:  
   The data provided in all three statements together is insufficient to determine how many daughters D has.

Thus, the correct answer is **(d) All the statements together are not sufficient**.

Answer

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