I did my masters at City University London in what is now the school of computing and engineering, and then went on to do a part-time MBA. Both worked well for me, and in different ways. Glancing at the school's website, I see now that management is a major part of every engineering field: https://busimod.com/2xRewDT I think the options are close enough that I might think about the options close to you and really make a choice on the basis of the schools, their alumni network in your firm's client base and then also discuss with your managers about where the skills gap is in your firm.

Given than a good MEM costs the same as a good MBA, I think the MBA is a much better investment. You would learn more that is new, and be more able to help on more valuable questions.

Yes, an MBA, or even a general management program or targeted management development courses, would probably be better investments overall.

I have completed my Mtech in Computer science. Now I am confused if I should do MBA or opt for something which offers me a opportunity to work. I was looking at options like IES which is basically an excellent opportunity to work for the government sector.

This is not a helpful answer, Shreya. The other person is obviously not eligible to sit the IES exams.