Hiii aspirant..

Both IIEST Shibpur and MNIT Jaipur are very good colleges but if we compare these two then surely IIEST have an upper hand.

It is one of the oldest engineering Institute of India and if we considered MHRD ranking then and IIEST have a better ranking.

The placement cell is also active and their average placement is better comparatively at IIEST and the college also support the students in research field. Other than this being one of the oldest Institute of India the Alumni network of the college is very broad which even helps the college for attracting many MNCs for placements.

Thus I would say you to go for IIEst instead of MNIT Jaipur and and coming to department computer science is the most popular field of Engineering and so it is better comparatively.

Hope it helps. 

Best of luck.