Colleges in Gujarat

First, you must have graduation from recognized university with minimum 50% and then you can apply for admission.
Admission process are as follows:
Register and Apply
Interested candidates can apply online/ offline with the required information.
Entrance Test
Eligible candidates need to appear for the Gujrat Common Entrance Test (GCET-MBA) conducted by Hemchandracharya North Gujarat University.
Counselling
Admission is through counseling based on the rank obtained in Gujrat Common Entrance Test (GCET-MBA).

There is no any government college in Gujarat for embryology. You can search Asian Specific College, which provide M.Sc in embryology.

You need to check with college officials, if they will allow you to take admission in the 2nd year. You can contact the college and get a better understanding of the same from them.
Link: https://www.aurouniversity.edu.in/contactus.aspx

Hi Sarthak,
You may read the Admission Procedure link of the said program. The evaluation criteria are mentioned.

No, you are not. IIMs consider only CAT score.

Prepare well for CAT and score decent percentile. Nothing is impossible.

High chances that you might not get a call from IIM-A even after excellent CAT score. There is only very less probability that you might get in.