"It is an absolutely illogical statement least expected from him," the family told newspersons in Ballia.
"We had immense respect for Asaram Bapu and also have many books related to him, but as soon as we get back to Delhi we would put them on fire," the brother of the deceased said, terming the statement as "very cheap and downgrade".
"Godman or saints can never say anything of this sort... It only exposes his mentality," the family said.
Asaram Bapu had, on Tuesday, said that the rape and murder would not have happened if the victim had called the rapist-killers her brothers.
Referring to the growing incidents of rape, the family said that strict laws were necessary to check the crime against women and also for changing the attitude of the people.
The father of the paramedical student said that the family had great hopes that she would recover when she was being taken to Singapore for treatment.
Meanwhile, the district administration is preparing for the "terahi" (ritual related to death) of the girl on January 12.
ASP Ashok Tripathi said that though there is no confirmation of VVIPs attending the function, the district magistrate has started preparations in case any of the VVIPs decide to attend it.
A helipad is also being prepared in the village.