Additional Deputy Commissioner of Police (Cybercrimes) KCS Raghu Vir said Varma had made the comments in question when his short film "God Sex and Truth" released.
The director is also accused of posting "obscene" pictures related to the film on social media.
"We asked him to come again next Friday. He cooperated well with us during the questioning today. Investigation is going on," Raghu Vir told PTI.
Varma came to the Central Crime Station around noon and left around 4 in the afternoon.
Police have registered a case against Varma under section 67 of the Information Technology Act (publishing or transmitting obscene material in electronic form) and under relevant sections of the Indian Penal Code for indecent representation of women, Raghu Vir said.
Disclaimer: No Business Standard Journalist was involved in creation of this content