The bench questioned the petitioner for not moving the high court and directly coming to the apex court.
According to the apex court website, a bench comprising Justices Surya Kant and Dipankar Datta will hear the PIL filed through lawyer Barun Kumar Sinha on July 25.
The bench noted even the high court has said in its judgement that 80 per cent of the work related to the survey has been completed.
The plea filed by Nalanda resident Akhilesh Kumar submitted that in terms of the constitutional mandate, only the Union government is empowered to conduct a census.
A bench of justices B R Gavai and Vikram Nath said there is no merit in the petitions and dismissed them with liberty to the petitioners to approach the high court concerned.
Mehta said but did not elaborate on the consequences the contentious exercise could possibly have.
A fresh petition seeking a National Investigation Agency probe into the security breach during Prime Minister Narendra Modi's visit to Punjab on January 5 was filed before the Supreme Court on Monday.
Two Hindu organisations, Hindu Sena and Hindu Front for Justice, have moved the Supreme Court seeking to intervene as parties in a pending plea in which notices have been issued to the Centre and others on allegations of hate speeches made against the Muslim community at Haridwar and New Delhi.
The SC said it had already listed the appeals before the appropriate bench in January.
SC dismisses plea against Sena-NCP-Congress alliance
Congress leadership would take a call on who would be its deputy chief minister on Tuesday.