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Hello,
It's very nice to hear from you that you are interested in doing your post graduation M.Tech in mechanical engineering. A student needs to do graduation in engineering before he can think of doing post-graduation. These days many of the institutions controlled by the government accept GATE scores for giving admissions for postgraduate courses. There are many Deemed-to-be universities which are functioning in India and almost every one of them conducts its own entrance exam for giving admission to the students for post graduation in engineering. You perhaps need to decide as to where you want to do your post graduation and then definitely everyone will be able to help you to know what exactly is the procedure. Best wishes to you.

No, it is not compulsory for you to have Maths in order to study B.Com and MBA at LPU. The eligibility criteria for both the programme are as follows:
B.Com:
Pass with 50% aggregate marks in 10+2 (with English or equivalent, subject to qualifying LPU NEST. For a candidate, who has not studied English as a subject, the condition of English may be waived off provided the candidate in his qualifying exam has studied in English medium. (5% relaxation to North-East states and Sikkim candidates/ Defence Personnel and their Dependents/ Wards of Kashmir Migrants)
MBA:
Pass with 55% aggregate marks in Bachelors degree (any discipline) or equivalent, subject to qualifying LPU NEST or CAT or MAT or XAT or NMAT or CMAT and Interview. Or Completed Company Secretary CS from Institute of Company Secretaries of India (ICSI) or Completed Chartered Accountancy CA from Institute of Chartered Accountants of India (ICAI) or Completed Cost & Management Accountancy (CMA) from Institute of Cost Accountants of India (ICAI). .