Pointing to a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man ?

Question

Accepted Answer

To determine how the woman is related to the man, let's analyze the statement: "His mother is the only daughter of my mother."

1. **Explanation for Option 1 (Mother):**
   - The woman states that "His mother is the only daughter of my mother." This means that the man's mother is the only daughter of the woman's mother.
   - If the man's mother is the only daughter of the woman's mother, then the woman's mother has only one daughter, who is the man's mother.
   - Therefore, the woman herself must be the man's mother, as she is referring to her own mother and indicating that she is the only daughter.

2. **Explanation for why other options are incorrect:**

- **Option 2 (Grandmother):**
     - If the woman were the man's grandmother, then the man's mother would be the woman's daughter. However, the statement specifies that the man's mother is the only daughter of the woman's mother, not the woman herself. Therefore, the woman cannot be the man's grandmother.

- **Option 3 (Sister):**
     - If the woman were the man's sister, then they would share the same mother. However, the statement indicates that the man's mother is the only daughter of the woman's mother, which means the woman is the man's mother, not his sister.

- **Option 4 (Daughter):**
     - If the woman were the man's daughter, then the man's mother would be the woman's grandmother. The statement clearly indicates that the man's mother is the only daughter of the woman's mother, making it impossible for the woman to be the man's daughter.

In conclusion, the logical analysis of the statement supports that the woman is the man's mother, making Option 1 the correct answer.