Hello,
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Yes,you are eligible to give a CAT exam with backlogs.
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It is said to answer the question asking,"are you in final year" to Yes.
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See that even with backlog you will be having minimum of 50% grade.
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And for best suggestion score more then 98% so that you will be selected for top IIM.
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If you have even passed CAT then be prepared for interview.They will be surely asking about your backlogs.
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So Best of luck

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