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Deepti was walking with her husband Rajiv. They met a Woman Milli. Deepti introduced Milli to Rajiv and said "Her brother's father is the only son of my grandfather. "How is Deepti related to Milli?
Milli's brother's father is the only son of Deepti's grandfather.
Milli's brother's father means Milli's father, and the father is only son of Deepti's grandfather.
Thus Milli, her brother and Deepti will have same father.
Hence Milli and Deepti are sisters.
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