Hello,
It is difficult to predict the exact rank with the given score because the rank dependent on various factors such as total number of candidates appeared for MET, highest score this year, tie breakers etc. You may secure a a rank above 13000. The actual rank that you would secure may vary. To know the actual rank you need to wait until the rank list is published by the authorities. The rank list is expected to be published in the fourth week of June 2021 tentatively. Considering the previous year cut off you have chances of getting seat in the
The cut off rank tends to change, it may increase or decrease depending on the total number of candidates appeared, difficulty level of examination and total number of seats available etc.
To check the previous year cut off click on the link below
https://engineering.careers360.com/articles/met-cutoff
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