Engineering

MGM College for Computer Science and IT in Navi Mumbai is better. Because its faculty is good with proper rules & regulations.

You should check both the criteria. They grade colleges according to the infrastructure, student-faculty ratio, number of Ph.D. faculty members and check if the institution is of international standards or not. Everything that's required to be a good choice for students.

http://www.bmsce.in/department/placement/list-companies-visited-campus-during-the-last-3-years
You can refer this link for the asked question.

College of Engineering, Pune is the best one for B.Tech and other options are VIT, MIT, PICT and DY Patil as the best colleges for pursuing engineering from Pune.

You have a greater probability of getting into the computer science department of BMSCE for the rank you have obtained.
All the best.

Have you done a diploma course? Because diploma people enter laterally.

Eligibility for M.Tech-
A minimum CPI of 6.0 or 55% of marks in the qualifying degree/Diploma as indicated below:
Note: All regular category candidates (except those having B.Tech/BDes degrees from an IIT with a minimum CPI of 7.0).

If you want to make a career in Ethical Hacking, then you should definitely go for Computer Engineering or Computer Science. It's not necessary that if you don't have a degree related to IT field you won't be able learn Hacking. Even a 12th Pass student can learn Ethical Hacking course. Ethical Hack

Both the courses has different direction and different scope on future. You can't compare engineering with a B.Sc courses. Both the courses has its own merits.
Gender never decides the courses. It is your interest in which side you can do better. Choose that side.
I suggest you to go with Engineerin

Hey,
GUJCET will continue to be from next year. But, this is a political decision. If there is more pressure, then your state may shift to JEE Mains, as the preferred exam. But, you will have to wait for admission process of next year to begin for this.
Study hard and understand the topic.