Hello yash, 

• Indian Institute of Technology, Kharagpur.
• Indian Institute of Technology, Madras.
• Indian Institute of Technology, Kanpur.
• Indian Institute of Technology (BHU), Varanasi.
• Motilal Nehru National Institute of Technology, Allahabad.

These are the best colleges for Btech. 

These are the exams which you can go for-

• JEE MAIN. 
• JEE Advanced. 
• BITSAT. 
• VITEEE. 
• WBJEE. 
• MHTCET. 
• KCET. 
• AP EAMCET.

The following colleges have the best placements