i have done my BA through distance mode and my total marks count to 60.58%, my result shows completed.m i eligible for admission in IIM

yes why not?

First of All to get IIM Your CAT percentile Must be More than 95. And a Good Work Experience And Most Important Thing Your Academic performance in 10th , 12th And in Graduation. And in Which Stream You have Done Graduation. As BA is just a Graduate Degree nothing else this is Also With Distance Mode