Hi tarunindia,
you state that you want to start as soon as possible. This can also mean that you also have a preference to finish the master's programm rather sooner than later.
If this is the case, you may want to have a further look at WHU Master's programme: The exchange semester (which is mandatory at HHL) is actually facultatory/voluntary at WHU (under certain conditions!, e.g. you have >= 300 ECTS with your Bachelor and Master degree combined). You would then do the 90-credits track (compared to the 120-credits track)
www.whu.edu/en/programs/master-of-science-programs/master-in-management/program/This means that if you start in September 2016, you are finished with your Master's degree in January 2018. Theoretically, you could start working already full-time in June 2017 as classes and exames are ending before that. However, you would need to write your Master's thesis in parallel to working full-time which can be really tough (my opinion: possible for a regular 9-to-5 job, but over-difficult while doing something like investmentbanking/consulting).
While I would generally recommend to do an exchange term, in case you already have had international exposure, it is of less importance from my pont of view.
For client-facing job profiles (e.g. consulting) I would like to emphasize the importance of the local language (i.e. German in German-speaking countries). When it comes to applying, it is advisable to beat a certain GPA-threshold (which varies from employer to employer), but lack of language ability can be a killer.