Seventeen casualties were reported in Bihar with 48 others injured in wall and roof collapse incidents triggered in the impact of the quake.
Six people died in East Champaran and four in Sitamarhi, two districts of Bihar adjoining Nepal, where the epicentre of the quake lay 80-km to the north-west of Kathmandu, special secretary in the disaster management department, Anirudh Kumar, told PTI.
National Disaster Response Force teams have been rushed to the districts and Chief Minister Nitish Kumar is heading back to Patna from New Delhi.
In West Bengal, where state-wide civic elections are on, three persons were killed in the temblor and at least 69 others were injured, including 43 schoolchildren.
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She tweeted that the WB government was monitoring the situation closely and urged people to stay calm.
"My prayers with the people of Nepal and across India after the massive earthquake. Hope everyone is safe. Stay calm," she said.
Sixty-nine people were injured in roof collapse incidents at three places in Malda district and a stampede-like situation ensued as people rushed out of buildings to safety, district authorities said.