A bench, headed by Justice Dipak Misra, also said that its earlier order that had vacated high courts' stay orders on government's permission will continue till April 22, the next date of hearing.
The high courts had stayed that government's notification that amended the Central Motor Vehicles Rules, 1989, for allowing quadricycles under a new vehicle category will not come into force till they decide the pleas.
The notification had also enabled the government to specify separate standards for the new category.
The court was hearing the plea of the Centre seeking transfer of petitions from high courts at Delhi, Karnataka, Andhra Pradesh and Telangana, Madras, Patna and Gujarat, to the apex court.
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Some persons and regional auto component manufacturers had moved the high courts against the government's notification allowing quadricycles.
Earlier, the Supreme Court had stayed the high courts' orders, making the government notification operational again.
The government notification allowed quadricycles from October 2014.