Hello, for your information I want to say that IIEST has there own exam with the name NEST. If this is marks JEE and you are looking for IIEST then first apply fo NEST. appear for the test which is comparatively easier than JEE mains. 

Hello,

Since you didnot mentioned your caste and home state, if you belongs to BC category and having home state reservation then you need about 30 to 35k rank,
If you are general category and from other state you may have low chances to get into it
Most probably I think you have normal or lower chances to get into it

ALL THE BEST!!!

Hello
Yeah I can help you
Actually according to this college the JEE mains score should be atleast 150 marks above but try it out please write the April JEE mains session also
Now I will provide the link from careers360

https://dqxeclau.top/university/indian-institute-of-engineering-science-and-technology-shibpur/cut-off

Best regards

IIEST Shibpur

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