Based on your son's All India Rank (AIR) of 44,197 and EWS rank of 6,151, admission to NIT Andhra Pradesh is possible under the Home State quota. In the 2024 admissions, the closing ranks for various branches were as follows:

• Civil Engineering : 51,738

• Chemical Engineering : 51,854

• Biotechnology : 57,705

• Mechanical Engineering : 68,081

• Electrical and Electronics Engineering : 37,297

• Electronics and Communication Engineering : 24,588

• Computer Science and Engineering : 14,707

Given these figures, your son may have a chance in branches like Civil, Chemical, or Biotechnology Engineering.

Likely NITs and Branches:

1. NIT Warangal (NITW) – Mechanical, Civil, or Electrical Engineering might be a good option. The closing rank for EWS category in some branches could go up to around 9,000-10,000.

2. NIT Andhra Pradesh (NITAP) – Computer Science, Mechanical, or Electrical branches could be an option for EWS category with closing ranks near 6,000-8,000.

3. NIT Tiruchirappalli (NITT) – With EWS, branches like Civil or Mechanical could be possible, depending on the closing ranks for each year.

4. NIT Calicut (NITC) – Some branches like Civil, Mechanical, or Electrical could be available, depending on the year's cut-off.