From this year onwards,  JAMIA MILLIA ISLAMIA  will  accept jee mains rank for admission in b.tech.
When jmi was conducting their own entrance exam, cutoff for muslim categoryis around 90 and for general category is around 105. 
For Muslim Women cutoff is 75. 
This data is for the academic session 2014-15.
Prediction  : 
FOR CS : JEE RANK UNDER  35000
FOR ME : JEE RANK UNDER 45000 
FOR OTHER BRANCHES UNDER 75000
For more details check jmi website