Hi

No, you cannot apply in IIM Calcutta after 12th.

This is because,

To be eligible for  MBA you need to at least a graduate. So, after 12th you need to do graduation.

Yes , you will have to give entrance examination, admission is through CAT examination.

For your reference

CAT eligibility criteria is given below:

To be eligible for CAT ,

• you need a Bachelor's/graduation degree in any discipline from a recognised university.

• you must have got  at least 50 per cent marks or equivalent CGPA in your graduation . SC/ST/PH students need only at least 45 percentage in Bachelor’s Degree in any discipline to be eligible .

• Candidates who are in the final year of their graduation are also eligible for CAT examination.

• There is no age restriction to be  eligible

• It is not mandatory to have work experience to be eligible

For detailed information go through

https://bschool.careers360.com/exams/cat

Admission on the basis  percentile score in CAT, PI , academic profile like percentage of marks obtained by you in  class 10th, 12th and graduation and work experience.

In case ,

if you're interested in getting into IIMs right after 12tg then you can go for integrated programme in management offered by IIM Indore, and IIM Rohtak. Admission is through IPMAT

To be eligible for IPMAT 2021 ,

-) you should be either appearing for your 12th board examination in 2021 also have passed it in 2020 or 2019 with at least 60% marks in aggregate or 55% in case of SC/SC/PwD

-) you should be born on or after 1st August 2000 to be eligible for IP mat 2021

You can complete information about IP mat at

https://bschool.careers360.com/articles/ipmat

Thank you