Hi

As per previous year cutoffs at IIEST (under Female Pool and Home State Quota), you have to secure a rank well within 17k to get Computer Science and Engineering at IIEST Shibpur. For other branches like Information Technology and Electronics and Telecommunication Engineering, they close by 26k and 19k respectively. 

Electrical Engineering by 25k, 

Mechanical Engineering by 32k, 

Aerospace Engineering by 29k, 

Civil Engineering by 43k, 

Metallurgy and Materials Engineering by 46k,

Mining Engineering by 41k.

Marks differs every year, which depends on the difficulty of the question paper and number of students.

Best of Luck.

Hope this helps.

Cheers!