Let's analyze the statement step-by-step: Statement:
Pointing to a woman, Abhijit said, "Her granddaughter is the only daughter of my brother."

Breaking it down:

1. "Her granddaughter" means the woman has a granddaughter.
2. "The only daughter of my brother" means Abhijit's brother has only one daughter.
3. Since the granddaughter of the woman is the only daughter of Abhijit's brother, it means:
   • The granddaughter of the woman = the daughter of Abhijit's brother.
4. Therefore:
   • The woman’s granddaughter = Abhijit’s niece (daughter of his brother).
5. If the woman’s granddaughter is Abhijit’s niece, then:
   • The woman must be the mother of Abhijit’s brother (because the woman’s granddaughter is the daughter of Abhijit’s brother).
6. So, the woman is the mother of Abhijit's brother , which means:
   • The woman is Abhijit's mother.

Final answer:

The woman is Abhijit's mother.