Exam

Admission to MCA is not given without any entrance exam. You can check out some private colleges like Amity or Sikkim Manipal. They might have separate admission process.
Government colleges will give admission only if you have given entrance.

Admission into IIM Bangalore is pretty much at its last stage. As CAT results were announced in January and it's April going on, so the admission are about to get over and your GMAT exam will be June. By the time, you will appear for GMAT test the institute will roll its new batch.

Hi Rashi,
If you wish to pursue UPSC after your graduation, then in your graduation you can go with B.Sc. In maths, chemistry or physics depending on your interest. All you need to do is start preparation along with your graduation degree and opt the subject in which you are pursuing graduation. Apar

Hi Niranjan,
JEE exam is conducted in the year 2019. In month of January and April, the first level that is JEE Mains was conducted and in the month of May second level that is JEE advance would be conducted. In the year 2020 exam for next session candidates would be conducted.
Good luck.

Hello! CAT a premier MBA entrance exam, is held every year in November by the IIMs all over India. It consists of questions on topics like English, Maths, and Logical Reasoning.

National Testing Agency has opened the JEE Main form Correction facility for all the successfully registered candidates of both January and April sessions from March 11 to 15, 2019. It is a one-time facility for making corrections in any field of the application form except the preferred exam center

I don't think PIM-MAT papers are available as I tried to search them too. But you can download PIM-MAT sample paper. It is available on RAPIM website.

Hi Ishika,
There is no entrance exam for B.Sc.

Dear,
For direct admission purpose, you need have to contact with their admission department. No college will tell you that they are taking direct admission in any course. So, it's better to make a contact with admission department.