Both the Institutes, Indian Institute of Technology Bombay or Indian Institute of Science (IISc) are best for higher studies in India.

I am telling you the ranking of these University.

Indian Institute of Technology Bombay

The Indian Institute of Technology Bombay is a public engineering institution located in Powai, Mumbai, India.

Internationally, IIT Bombay was ranked 179 in the QS World University Rankings for 2018.

It was also ranked 35 in Asia and 13 among BRICS nations in 2016 by the same institute.

The Times Higher Education World University Rankings ranked it 351-400 globally 42 in ASIA and 26 among BRICS & Emerging Economies University Rankings 2017.

In India, Careers360 ranked IIT Bombay second among all universities in 2017 and has given it the top rating "AAAAA" among engineering colleges in 2017.

It was ranked second among engineering colleges in 2017 by both Outlook India.

The National Institutional Ranking Framework ranked it second among engineering colleges in 2017 and third overall.

Indian Institute of Science

Indian Institute of Science (IISc) is a public university for research and higher education in science, engineering, design, and management.

IISc was ranked 201-250 in the world by the Times Higher Education World University Rankings in 2016-2017, the top university in India, as well as 27 in Asia and 14 among BRICS & Emerging Economies University Rankings in 2017

The QS World University Rankings of 2018 ranked IISc 190 in the world.

The same institute ranked it 33 in Asia and 6 among BRICS nations in 2016.

The Academic Ranking of World Universities ranked it 301-400 in the world, the only university in India to be ranked by this ranking.

It was ranked top university in India by Careers360 ranking of 2017 as well as the National Institutional Ranking Framework university ranking and overall ranking for 2017.