Hi,

In my opinion you should go for VIT Vellore.

According to Ministry of Human Resource Development, Government of India :-

VIT is ranked at 13, while  VJTI is ranked at 84.

Following are parameters and scores given by NIRF:

1. Teaching Learning and Resources (Ranking Weightage = 0.30) These parameters are related to the core activities of any place of learning. These lay emphasis on measuring numbers and quality of faculty, library and lab resources and general facilities for development of young persons. Scores given for these parameters -VIT: 66.95 and VJTI: 32.29.
2. Research, Professional Practice & Collaborative Performance (Ranking Weightage = 0.20): Excellence in teaching and learning is closely associated with the scholarship of the faculty and students. Equally, faculty members are expected to make their knowledge and expertise available to benefit the society and industry. These parameters, therefore, attempt to measure the quantity and quality of research output as seen through international data bases, IPR generation and interface with industry and fellow professionals. Scores given for these parameters-VIT: 74.72 and VJTI: 57.85.
3. Graduation Outcomes (Ranking Weightage = 0.25): This parameter forms the ultimate test of the effectiveness of the core teaching/learning activity, and measures the student graduation rate and their success in finding appropriate placement in industry and Government or taking up higher studies. Scores given for these parameters-VIT: 77.38 and VJTI: 79.62.
4. Outreach (Ranking Weightage = 0.15): The Ranking framework lays special emphasis on representation of women and socially challenged persons in student and/or faculty populations, and also on outreach activities of the institution. Scores given for these parameters-VIT: 77.11 and VJTI: 59.06.
5. Perception (Ranking Weightage = 0.10): The ranking methodology gives a significant importance to the perception of the institution by its stakeholders. This will be accomplished through Stakeholder Surveys. Scores given for these parameters-VIT: 91and VJTI: 47.

Hence for teaching resources and services, VIT is better. For Research scope again VIT is better. For placements VJTI is bit better than VIT. Overall aggregate score given by NIRF to VIT: 74.40 and VJTI: 52.71.

Overall VIT is better, but then you can choose which college you want to go to on the basis of the parameters which matter to you the most.

Hope this helps.

All the best.