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 the relationship between the woman and the man, let's analyze the statement: "His mother is the only daughter of my mother."

1. **Explanation for Option 1 (Mother):**
   - The woman says, "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 because she is referring to her own mother as "my mother," and she is the only daughter of her mother.
   - Hence, the woman is the mother of the man, making Option 1 the correct answer.

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

- **Option 2 (Grand Mother):**
     - 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 grandmother.

- **Option 3 (Sister):**
     - If the woman were the man's sister, then the man's mother would be the woman's mother as well. However, the statement indicates that the man's mother is the only daughter of the woman's mother, which means the woman herself is that daughter, not a sister.

- **Option 4 (Daughter):**
     - If the woman were the man's daughter, it would imply that the man's mother is the woman's grandmother, which contradicts the statement that the man's mother is the only daughter of the woman's mother. Therefore, the woman cannot be the man's daughter.

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