what about MCE as its cuttoff is lower than EE in IES exams 

Yes if you want to take mechanical also then you can take it but you also mentioned for best placement which is currently taken by ece students that's why I told you it's your wish to opt for a branch ...so see for it..

Now iam confusing between EEE and ECE. which will be best according to my situation..  

iam confusing between EE, EEE, ECE branches. 

I will advice you to take ece since you will get better job opportunities in both software development and hardware core sectors and you will have a better edge over other students if you work hard ptopepro for four years of engineering rest it depends on you and your interest after all it's your call but bother ee and ece have a lot hardwork to do in all four years

Thank you Brother but my last question is Which branch is more tougher EE,EEE,ECE plz give the order.