Hello Aspirant,
It's good that you have good academic background but your 10th and 12th percentage are not required in any of the IIM institution.
The most important aspect of IIM admission is the CAT exam. A candidate needs to clear the CAT cutoff required by the specific institute to get shortlisted for appearing in various selection rounds. You need to have good scores in CAT exam as most of the IIM institute accept students having scores above 90 percent in CAT exam. So yes, the priority for admission is through CAT only.
All the best!
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