Indian Institute of Technology, BHU, Varanasi

I think NIT electrical will give you more exposure. NIT-Trichy always hit its 100% record in all most all UG courses. IIT-BHU has its brand name just like other IITs. It's completely up to you to decide now.

No, once you have taken admission in any of the IITs, you can't take JEE Advanced again.

Hello Sooraj,The admission in IIT is through entrance exam called JEE Advanced. But only those who score certain marks in JEE Mains are allowed to register for JEE Advanced. Also JEE Mains exam is already over. So now you can think of applying only next year.

You need to have 75% marks in JEE Mains.

The cut off rank and marks vary each year as it depends on the number of applicants and the difficulty of the question paper. Your AIR shall be below 4500 to get a seat for mechanical engineering in IIT BHU, Varanasi.

IIT-BHU is a better option.

Pharmaceutical Engineering is growing with development. It may not be that much alluring though. You can surely join IIT BHU Pharmaceutical Engineering. But make your mind, that you have to go in the non-core sector if required.

It's a tough one. If you want to join the core sector after engineering, go for IET Lucknow. And if you are okay with joining a non-core job, it may be anything like consulting or coding. Then, join IIT BHU. IIT gives the exposure and experience.

Taking a drop or not is solely your decision. Are you ready to study for one more year? It takes dedication, vigor, and motivation. The last thing is hard to keep. Students lose motivation after some months and end up performing bad. If you are sturdy headed, go for a drop. Personally, I would recommend joining the college.