I would begin by saying that there is no as such fixed cutoff score of BITSAT. The last year cutoff(BITSAT 2016) can be seen by clicking at the link given below.
At Pilani Campus cutoff was 240 (B.Pharma)
At Goa Campus cutoff was 297 (Biological Sciences)
At Hyderabad Campus cutoff was 224 (B.Pharma)
This year the cutoffs went a bit low and they went up to 200–220. But looking at these scores the students should not become complacent as BITSAT cutoff score vary every year and are thus not fixed.
I would end by saying that students should give their best while preparing for BITSAT and should solve previous year papers as this exam is totally different from other competitive exams. I feel that students should aim for a score of 300 plus as this might guarantee them admission seeing the last 3–4 years cutof