Karnataka began the proceedings in an aggressive manner with Amos giving the lead in the 11th minute at the Mohun Bagan ground in their 3-0 drubbing over Goa.
Prakash Majumdar made it 2-0 in the 30th minute as the last year's champions enjoyed a comfortable lead at halftime.
Karnataka defence held on without giving their Goan opponents any chance as Nagraj made it 3-0 in the second minute of the injury time.
Uttarakhand registered a 2-1 win over Meghalaya in another match of the quarterfinal league at the Yuba Bharati Krirangan.
Harish (11th) and Manoj (18th) gave Uttarakhand a flying start before Meghalaya pulled one back through M Dennis in the 68th minute.