Hello austin fernz 

Under MHTCET, For chemical engineering - ICT MUmbai (Hands Down!!)

For CSE as you have mentioned:

1) VJTI, Mumbai

Veermata Jijabai Technological Institute (VJTI) is an engineering college located in Mumbai, Maharashtra, India, and one of the oldest engineering colleges in Asia. Founded in 1887 and formerly known as the Victoria Jubilee Technical Institute, it adopted its present name on January 26, 1997.[1] VJTI is an academically and administratively autonomous institute, however it is affiliated to the University of Mumbai.The institute is financially supported by the Government of Maharashtra.

After being awarded academic and administrative autonomy in 2004, VJTI became operational under the administration of a Board of Governors.[2] VJTI is also the Central Technical Institute of Maharashtra State. The institute trains students in engineering and technology at the certificate,[3] diploma, degree, post-graduate and doctoral levels.

2) KJ Soumya, Mumbai

K. J. Somaiya Institute of Management Studies and Research (KJ SIMSR) is an autonomous business school located in Somaiya Vidyavihar, Mumbai. It was established in 1981 as a part of the K.J. Somaiya Trust and Somaiya Vidyavihar. K.J. SIMSR was granted the status of autonomous institute by UGC in May 2013.

For More detailed information about the above two colleges then visit:

https://www.careers360.com/colleges/kj-somaiya-institute-of-management-studies-and-research-mumbai

https://www.careers360.com/colleges/veermata-jijabai-technological-institute-mumbai