Which government engineering college can I get with 38 percentile in JEE Mains in Uttar Pradesh for B.Tech?

These UP government colleges do accept JEE Main scores through UPTAC counselling, and have cut-offs in the range your rank can fit:

1. Govt. Engineering College, Azamgarh
Provides IT, Civil, Mechanical with seats through JEE Main/UPTAC

Closing ranks are generally in the 5,000–6,000 range for IT/Civil.

2