As per the placement statistics of St. Martins and Methodist CSE then St. Martins have better placement rate i.e., 91% where as in Mehodist its 25% for 2019-20.  Apart from this both the colleges are of same stature but the curriculum of Methodist a slightly better compared to St. Martins but at the end, from the job perspective and faculties I would recommend you to go for St. Martins.

St. Martins is affiliated by Jawaharlal Nehru Technological University, Hyderabad and Methodist is affiliated by Osmania University, Hyderabad .

To know more about St. Martins visit the link below:

https://www.careers360.com/colleges/st-martins-engineering-college-secunderabad

To know more about Methodist visit the link below:

https://www.careers360.com/colleges/methodist-college-of-engineering-and-technology-hyderabad

I hope this answer helps. All the very best for your future endeavors!