Hey Priyadarshini,

According to previous year trends, the last year cutoffs rank for CSE was 4,000 to 5,000.

You are eligible to take admission in the college you are desired.

And also every year the number of students keep on fluctuating due to the other options and competition in the Engineering field. 

KIIT University, formerly Kalinga Institute of Industrial Technology is one of the best Premier engineering institutes in the Eastern Zone of India, it is ranked as 45th best Engg. university in India biting various top-tier universities/colleges. 

So, keep hope.

All the best!