My father passed away in 1981 without leaving a will. Can his daughter claim equal rights to the family house? If so, can she ask her brothers to move out and force them to sell or divide the property?

Yes, as your father died intestate (without a will), you and your brothers inherit his property equally under the Hindu Succession Act. However, forcing your brothers to move out or sell the property is a complex legal process, requiring a court order based on compelling reasons, such as financial hardship or inability to co-own the property peacefully.