Hi . Since both the NITs are really good you should choose the NIT which is closer to your home i.e. MNNIT, Allahabad. NIT, Trichy even though being the best is really far away from UP. And talking about the placements, the average package for both the nits are approximately same with not much significant difference . And all the good IT companies visit both the colleges so you shouldn't worry much about it. You can check the placement stats for both the NITs below:

1) MNNIT - https://www.careers360.com/university/motilal-nehru-national-institute-of-technology-allahabad-prayagraj/placement

2) NIT Trichy-

https://www.careers360.com/university/national-institute-of-technology-tiruchirappalli/placement

If distance is not a worrying factor for you then definitely go for NIT,TRICHY. Hope this answer helped.

Hi.

Placement of choice depends on a lot of factors other than your perseverance and hard work such as university reputation, culture of university, location and overall learning environment beyond classroom.

Being said that, placement statistics are as follow:

MMNIT

Civil

Average: 6.54 LPA

Highest: 17.3 LPA

IT

Average: 12.97 LPA

Highest: 36 LPA

NIT TRICHY

There are no official segregation of branchwise placements provided by an official source which you can check HERE. (https://www.nitt.edu/home/academics/departments/ece/placements/)

However, overall estimation is as follows:

Highest Package -  42 LPA

Average - 4.5 LPA

95% for Students in chemical engineering were placed.

Because of the uncertainty of your question which asks what are your chances of applying for Circuital Branch being in a Non-Circuital branch. Which is a difficult task to do. However I can recommend you to take admission in best know NIT i.e. NIT Trichy and work hard to get a branch upgrade in a Circuital branch or if that does not occur, things will boil down to your efforts and out of the way study methods which will enable you to compete with IT and CSE Students in placement.

I wish you BEST OF LUCK.