Police had detained the two youth after the woman had alleged that one of them raped her in a moving car while the other along with his friend was present at the time of assault.
However, during investigations, their mobile phone location at the time specified by the victim were found to be somewhere else. Police also found discrepancies in the victims statement.
A police official said that they are contemplating taking legal course to withdraw the FIR in the case.
The incident had come to the light when locals found the woman crying near Anand Vihar Bus Terminal here last evening.
"She was taken to local police station where she claimed that her friend raped her in a moving car in front of two other men. As per the woman, they also thrashed her when she tried to resist," a police official had said.
The victim had told the police that she had come to meet her friend as he promised her of a job in some factory.