My younger sister has enrolled in the CSE program at NIT and it has excellent facilities for the program. The brand name of NIT and IIT is still more popular for some of the engineering aspirants because they lack awareness. Even my sister thought so before admissions, but NIT ranks #16 on the NIRF Engineering scale, IIIT A ranks #103, and IITs are usually in the top 5 in the same. 

Furthermore, your decision may change based on the following-

• The location of IIIT Allahabad is a factor contributing to its low popularity. It is located in a small village area called Jhalwa. There are no recreational facilities around and the only eating outlets are MacDonald's and Dominoes, which harm in the long run.
• The placement statistics of IIIT A show that it has a good 96% placement rate, but not many top companies come to visit because of the location. Networking is not an issue, but an institute in a developed area would have easy accessibility, lectures by renowned faculty, spots of refreshment; which are not present here.
• The hostels are not very good and those who reside in them, face difficulties related to social outings.
• Another fact of importance is that this institute has only two departments: Information Technology and Electronics and Communication.

You can see below, the comparatives of the institutes:

As you may see, IIIT A and NITs have excellent placement rates. The faculty will be more brilliant at IITs but students are dissatisfied even there. So you can see for yourself according to location, placement scenario, and brand name if that matters.

Due to normalization, the minimum marks required vary from 65 to 72. But, the minimum GATE score that you must try to score lies between 725 to 750 marks. Here is the cutoff for 2021.

Please take note that your admission to the institution does not wholly depend on your GATE score. In fact, a good GATE score only makes you eligible for getting shortlisted and getting a call letter for further rounds which constitute group discussion (GD) and personal interview (PI).

Before releasing the final merit list, different weights are assigned to your past academic records- 10th, 12th and undergraduate percentage, your GATE score, and your performance in the GD and PI round, and then, all these scores will be added up and an aggregate will be taken out. Thus, making it to college does not solely depend on your GATE score.

Apart from your hard work, determination, and perseverance, nothing guarantees you admission to this premier institution.

According to one of my friend's opinions, if you belong to the state Punjab and have completed your studies till class 12 there then you can take a chance for a counseling round. 

But if not there are very less chances with a JEE Mains rank of 47,000 and it seems difficult mostly to the students belonging to the general category. 

The recent cut-off has been indicated below that can give you a reference regarding the JEE Mains rank:

From the above table you can clearly get an idea regarding the level of difficulty that a general candidate faces. 

Work hard and score a good percentile score to get admission to one of the leading universities in the country.

If you are somehow not specific on what branch, then a rank up to 22,000 (other states) can be expected to safely accomplish a branch at IIEST, Shibpur. You require to obtain marks of about 150 - 160 in JEE Mains for that.

For home-state students, the closing cutoff is usually around 30000 in general. 

Cutoff: 

The recent cutoff trends at the institute are tabulated below.

My cousin’s JEE-Main score was 142, and the normalized score was 175. Since there is no normalization nowadays, a suggestion would be to work hard for the score. 

And, a score anywhere between 180 would give you a position in the stream of your choice, you can be confident about that. Hope this gave you an idea about the score required to take admission at IIEST Shibpur.