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hello there
yes you have a chance of getting into an iim in the country as for getting into an iim you need to have a really good CAT score .and your class 10th and 12 th marks does not matters much ( although it cannot be said it does not matter at all ) .due to your low score you have a slight disadvantage than other candidates .but you seems to be dedicated for iims you can definitely get into any .
https://bschool.careers360.com/articles/cat-eligibility-criteria
best wishes
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