There is no better branch between EE at DTU and ICE at NSIT. It's all about preferences and inclinations. To help you make an informed decision let's talk about both the branches individually

EE at DTU

• EE at DTU is core electrical engineering wherein you are taught concepts related to power, grids, electrical machines, etc.
•  For placements, core companies like BHEL and companies in the energy field visit the campus. 

ICE at NSIT

• This branch has Control Engineering concepts along with electrical, electronics, and computer engineering.ICE has very light coursework and it's easy to maintain a good CGPA. 
• You also get enough time for your passions and extracurriculars.
• IT giants like Facebook, Google, etc. Don't allow ICE students to sit for placements. 
• Core companies that recruit students of this branch include Qualcomm, Texas Instruments, and others. 
• Non-tech companies like BCG, Bain, and JPMC allow all students to sit for placements.
• NSIT has a larger batch size and thus the competition here is less than DTU for placements but it still it cannot match the brand value of DTU.

In all, both DTU and NSIT have similar opportunities and placements so with the right mindset you can do well at both colleges. 

Both IIT Delhi and BITS Pilani are esteemed institutions with dynamic programs in electrical engineering and computer science, respectively. However, the decision of which program to choose depends on your personal interests and career goals. But one can consider the following points while make the decision 

• Placements: The placement scenario is quite similar in both the institutes' byte CSE being the most in-demand branch sought better placements with the average package this year being, INR 30.37 LPA. Additionally, you can get coding jobs more easily as a CS student than EE.
• Brand: This is where your IIT tag comes into play. It has a better brand value than BITS thus making it easier to apply abroad for higher education.
• Education: Both the quality of education and rigor is higher at IIT Delhi than BITS.
• Workload: BITS Pilani has less academic workload making it possible to seek much more than studies. The laid-back ambiance gives you opportunities to explore your interests apart from academics.
• Fees: BITS Pilani has much higher fees around INR 4.84 lakh- INR 19.94 lakh for the CS program whereas IIT Delhi has lower fees around INR 8.00 Lakh.
• Location: IIT Delhi enjoys the locational advantage of being surrounded with markets, multiplexes, and malls which is not possible due to the remote location of BITS Pilani.

 BITS is somewhere near the level of IIT Delhi but its overall campus and opportunities are yet to reach its level.

It’s best to compare both the branches based on the most common aspects such as

• Curriculum: The curriculum of both Electrical Engineering and Electrical Engineering (Power and Automation) covers a lot of common topics. The core courses of one may be available as either core courses or elective courses for the other, and vice versa. Only around 5 distinguishing courses are offered.
• Job opportunities: As far as core placements are concerned, the opportunities offered by both branches are quite different. Some companies might prefer students of one branch over the other. The non-core job roles offered are very similar in both branches.
• Competition: Electrical Engineering has better-ranking students than Electrical (Power and Automation). Thus the former has better competition than the latter. Someone who is among the top 10 in Electrical is among the top 2-3 in Electrical Power and Automation.

IIT Delhi Electrical Engineering offers slightly more opportunities in terms of peer quality and placements than the other.

If you are interested in the Mechanical branch, you should definitely go for DTU Mechanical. DTU has one of the best Mechanical departments in the country. There are many tech teams and societies for the branch. Tech teams such as Defianz Racing, AUV DTU, UAS DTU, etc. even participated in competitions of international levels and won. 

The placement records are also good for the branch. Many PSUs frequently visit the campus placement to recruit students. The highlights of DTU Mechanical Engineering placements show the average package to be INR 7 LPA. ONGC, Mahindra, etc. are among the top recruiting companies. 

Unless you are considering IIT Delhi because of its location advantage, IIT Madras is the best option. No one ever leaves IIT Madras disappointed. Another factor people consider is the environment provided by the Institute. Most North Indians consider the culture at IIT Madras way different and thus end up losing focus and motivation. If you are affected by such elements, choose the Institute you think will have a culture and people similar to your tastes.

Many North Indians are settling well in IIT Madras and ending up in the top 5% of the batch. So what matters is that the Institute you are choosing should provide the kind of environment that motivates you to learn and excel.

You will face tremendous competition and thus you will have to stay focussed and motivated to do well in that kind of environment. It is extremely necessary to choose the right environment for you as you will be spending 4 years of your life there.

Thus if a certain Institute, for instance, IIT Madras has more facilities than IIT Delhi but you stay among average students in IIT Madras but among the top 5% in IIT Delhi, then the right option for you is IIT Delhi.