I don't think there is a point in sitting for the councelling if you haven't cleared the cutoff. The cutoffs haven't been released yet and you need to make this decision once they are released. Also you need to have above 75 marks in top 5 subjects in 10+2 examinations to be eligible for counselling.The cutoffs for past year are
ream/Program
Average score for BITS Pilani
Average score for BITS Goa
Average score for BITS Hyderabad
Bachelors of Engineering (BE)
270 to 338
260 to 390
257 to 306
B. Pharm
213 to 220
-
177 to 185
Masters of Science (MSc)
259 to 315
252 to 282
254 to 283
If you also have the Jee mains exam then you can predict colleges you can get with this link
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Good luck
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