Dear aspirant,
As you have mentioned that you have scored 164/240 in the manipal entrance examination and you want to know your rank so there is no official data regarding marks vs rank but I would predict it according to my knowledge.
Your predicted rank would be somewhat around 1k. So in this rank you would definitely get cse core or any specialization branch available at manipal. But note this predicted rank can vary a bit because of the following conditions-
1- Difficulty level of the paper
2-Number of candidates appearing in that examination.
3-Number of vacant seats available
4-Previous years cut off
For more information you can check out the link given below-
https://engineering.careers360.com/articles/met-cutoff
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