Bihar, Uttar Pradesh and West Bengal, bordering Nepal, were the worst-hit parts of India in the quake measuring 7.9 on Richter Scale.
A spokesman of Union Home Ministry said 32 people were killed in Bihar, ten in Uttar Pradesh and 2 in West Bengal.
The spokesman put the number of injured at 237.
With Prime Minister Narendra Modi himself monitoring the situation and issuing directives, massive rescue and relief operations were initiated on a war footing.
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The Prime Minister, who took stock of the situation at a high-level meeting here, directed immediate dispatch of rescue and relief teams, including medical staff, to the affected areas.
He also spoke to Uttar Pradesh Chief Minister Akhilesh Yadav, Bihar Chief Minister Nitish Kumar, West Bengal Chief Minister Mamata Banerjee, Sikkim Chief Minister Pawan Kumar Chamling and Madhya Pradesh Chief Minister Shivraj Singh Chouhan.
The central government's Crisis Management Committee, headed by Cabinet Secretary Ajit Seth, is holding regular meetings to keep a watch on the situation.
"Our focus is on rescue operations. The damage assessment will follow in some time," he said.
Rijiju said rescue and relief teams have been sent to Patna, Supaul, Muzaffarpur, Darbhanga, Gopalganj in Bihar and Gorakhpur in Uttar Pradesh.
Rijiju said that additional personnel of National Disaster Response Force have been sent to quake-hit Bihar, Uttar Pradesh and West Bengal.
He said paramilitary personnel were also put on alert so that they could be deployed at a short notice," he said.
Rijiju said a total of 460 NDRF personnel have been dispatched to Nepal along with all rescue gears to help the local administration in rescue operations.