Kumar Ajitabh, who hails from Patna, had listed his vehicle on online marketplace Olx for sale.
Police said Ajitabh's friends suspect that he had gone out on December 18 evening around 6:30 pm to meet a prospective car buyer.
According to police, his phone is switched off. It was reportedly active onWhatsApp till about 7:10 pm that evening, they said.
Ajitabh had got through an executive MBA programme at Indian Institute of Management, Kolkata and was about to shift from the city, where he was residing with a friend since 2010.
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The car also has not yet been traced, the police said, adding they are searching for him.
Ajitabh's phone was last tracked to Gunjur on the outskirts of the city.
The engineer's family and friends have also started a social media campaign with hashtag #FindAjitabh".
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