Hello, You need to have either GMAT/CAT/XAT/CMAT score to apply in Great lakes. Since your academic profile qualifies you for application but the competition can be unpredictable without your Management test score. Abroad universities requires a GMAT score and a language test score like TOEFL . Usually a higher CGPA of 7 or 8 is required by the top schools but you can still apply for some of the universities based on your language and GMAT score if you have scored in the top percentile then you have a chance in good universities. You can gain practical experience and improve your profile. To know more about the eligibility exams you can use these links

https://studyabroad.careers360.com/exams/toefl

https://www.careers360.com/exams/gmat

Best wishes.