Dear Zahid, 

It is difficult to provide the exact number. However, you can check the link of one of the toppers that is given below. It will be nice if you can check the link that is given below to get some vital tips. 

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Dear student. 

Greetings.

The syllabus for GATE mechanical engineering is as follows. You can also check it yourself by visiting this link :- https://engineering.careers360.com/articles/gate-syllabus-for-mechanical-engineering

Hi Neeraj,

Yes, you are aeligible to appear GATE through mechanical engineering even if you ahve completed BTech in Production Engineering. So you can apply for the same

Hey.

Here is a list of a few top colleges for Mechanical Engineering after All the IITs.

NIT Tiruchirappalli, Tamil Nadu 

NIT Rourkela, Odisha  

NIT Surathkal, Karnataka  

NIT Warangal, Telangana

Motilal Nehru NIT, UP

Visvesvaraya NIT, Maharashtra  

NIT Calicut, Kerala 

Sardar Vallabhbhai NIT, Gujarat

BITS Pilani

Delhi Technological University

BITS

Admission to MIT Chennai is on basis of TNEA exam scores. 

Students can also apply with TANCET exam scores for PG Courses only although. 

Based on counselling careied by TNEA authority admissions is based on cutoff trends. 

Cutoffs shared below. 

https://www.careers360.com/colleges/madras-institute-of-technology-chennai/cut-off

Hie,

Yes, you can pursue a bachelors degree in mathematics on the fulfilment of eligibility criteria as specified by the college you want to take admission in. But then you need to drop engineering because you can not pursue two regular degree courses at the same time.

All the Best!

Yes definitely all Diploma students can take admission in Btech degree course and are guven lateral entry directly into second year engineering based on aggregate diploma marks or through entrance exam. 

Eligibility criteria is different although for all  Colleges. 

Highest package offered in Mechanical engineering stream till date is 16lpa in INR by Maruti Suzuki. 

Average package is 4lpa woth 80%placements on average past 3years.

Companies visiting are Daikin, Hero, Hinda, Jindal Steel, Hitachi.

Highest International package was 19lpa INR in Dubai Location by Daikin. 

You can apply for BA programme but each college has different procedure & eligibility so if you specify the particular college in which you want to take the admission then i can help you better.

Good Luck!