Evaluating and choosing colleges based on NIRF rankings is purely illogical as the criteria these ranking bodies consider are unrelated to your degree. Rather, you should consider the facilities provided by the institute and your personal preferences. That being said, IIT Jodhpur is a great choice among the aforementioned institutes. 

• Placements: IIT Jodhpur placement scenario is like no other new IIT even giving an edge to the old IITs. IIT Jodhpur's average package is INR 17 LPA and the highest is INR 40 LPA. 
• Infrastructure: IIT Jodhpur has a well-developed and modern infrastructure among all IITs. In fact, its campus design won the award for best campus design and is one of the biggest campuses among all IITs spreading across more than 800 acres.
• Facilities: The institute boasts well-equipped labs and departments. IIT Patna has the fastest commercially available AI solution in the world, the DGX-2. 
• Batch size: The small batch size ensures more resources per student. The resources you cannot use at other IITs during your UG years can be easily accessed here. At IIT Patna students working on projects in AI and ML access the computers to conduct research.
• New branches: IIT Patna likes to keep up with the industry trends and has launched new branches like AI and Data Science, Materials Engineering, Chemical Engineering, and Civil Engineering. 
• Hostel: The hostel facilities are no less and to get single AC rooms and decent food in the mess.
• Campus life: IIT Patna organizes the biggest cultural fest in the North-Western part of India called Ignus which invites big stars. 
• Course structure: The course structure is relatively flexible and students are free to choose any interdepartmental course for electives with very very few exceptions.
• Extracurricular activities: IIT Patna targets the holistic development of its students and thus importance is given to cultural activities, dance, drama, and music clubs.

Overall, IIT Jodhpur offers all the necessary resources and opportunities to make your education here worthwhile.

Both IIT Mandi Patna and IIT Jodhpur are well-respected institutions for mechanical engineering. However, it ultimately depends on which one aligns better with your personal preferences and career goals.

IIT Mandi Patna has a strong focus on research in the areas of energy, materials, and manufacturing, whereas IIT Jodhpur has a wider approach to mechanical engineering and has ties with many leading companies across the globe.

Personally, I am more in favor of IIT Jodhpur. I have a few pieces of information regarding IIT Jodhpur Mechanical Engineering.

• IIT Jodhpur provides an opportunity to go for an industrial summer internship in the first year itself. Companies that recruit students for internships are Mahindra & Mahindra, TATA Motors, TVS, L&T, and others.
• IIT Jodhpur IIP or the Industrial Immersion Programme offers an insight into the industry and allows you to take projects of Industrial interest as your B. Tech. Project. 
• IIT Jodhpur faculty is very much research-oriented, especially in the fields of thermal, robotics, and materials and manufacturing. This gives the students an opportunity to pursue a master's or PhD after graduation under their mentorship.

Ultimately, I can only guide you and it’s you who has to make the decision. It's best to do your own research and visit the campuses to get a feel for the culture and atmosphere of each institution. This can help you make a more informed decision about which is the best fit for you.

In terms of a greater reputation and recognition across the nation, NIT Warangal is a winner. However, there are certain points about IIT jodhpur that you should consider-

1. IIT Jodhpur has had its own permanent campus for a few years now. It has newly built infrastructure, A/C rooms, sports facilities, and other amenities.
2. Since the labs are newly built, they are among the best and second best in the country with the latest technology and new instruments.
3. There is a well established student society and a strong extracurricular base.
4. The alumni are studying in Ivy League colleges like Harvard, Purdue, etc. and many are working in highly reputed MNCs like McKinsey, Google, Amazon etc.
5. Campus placements are quite promising with offers from top companies like Amazon, Microsoft, and Google, Morgan Stanley, Arcesium, Works Applications etc. Electrical and Mechanical students receive high packages from ISRO and PSUs like BPCL etc.
6. IIT Jodhpur students ace exams like GATE, UPSC, CAT, GRE, etc. The students also bring honor to the institution in Gsoc, ACM-ICPC etc. 
7. The newly designed curriculum is well-integrated with yearly industrial practice, which you get to opt into from the first year.
8. The faculty is well-learned and the professors are themselves alumni of prestigious national and international universities. They have publications in reputed conferences and encourage the students to indulge in research and get published in the second or third year.

Thus, IIT Jodhpur is as good an institution as NIT Warangal and even surpasses the latter in certain respects. I would thus suggest you to go for IIT Jodhpur.

Here are some pros of joining IIT Jodhpur-

1. It offers higher packages and more exposure than MNIT.
2. It carries the ‘IIT’ tag which will help you for your higher studies/career. 
3. An IIT offers you much more freedom to explore your interests and passions. You may end up in a non-engineering field post graduation and do wonders at it. 
4. You’ll thoroughly enjoy your four years at IIT Jodhpur with all the freedom and exposure given to you.
5. The IIT Jodhpur campus is spread across 852 acres. You’ll get a single AC hostel room.
6. Like every other college, you’ll get to choose from numerous societies and clubs like photography, quiz club, astronomy, programming, etc. 

For placements, campus life, and exposure, IIT Jodhpur is a better choice than MNIT Jaipur. But you also need to consider the branch that you are getting at each of them. 

Both IIT Patna and IIT Jodhpur are well-renowned institutions. 

My brother pursued his CSE at IIT Jodhpur. According to him, you will enjoy studying CSE at IIT Jodhpur. 

• IIT Jodhpur has a great coding culture, ICPC, and many GSoCers.
• A large number of IIT Jodhpur alumni are working for Google, Microsoft, and other big organizations.
• IIT Jodhpur alumni are even working for Google in California. Such a strong alumni base will provide you with a lot of support and information. 
• The senior-junior interaction at IIT Jodhpur is also great. The seniors are very helpful and supportive.
• There are regular coding competitions and the coding culture is great. The permanent campus is beautiful and is 852 acres in area.
• Every student is provided with single accommodation rooms.
• IIT Jodhpur holds a tech fest each year in which there are coding competitions on web development, obfuscation, etc.

Check out the CSE course details at IIT Jodhpur to draw a statistical comparison between the two.

Branch change from EE to CSE is easiest at IIT Jodhpur. Here, students who have scored a 9+ CGPA can change their branch as there are no additional criteria. If you are talking about an easier branch change from EE to CSE, it would definitely be IIT Jodhpur, as here there is a rule that if you score a CGPA of 9+ then you can change your branch to any branch of your choice.

When my friend was a student at IIT Mandi a few years ago, she told me that 10 students from the EE branch changed their branch to CSE and a total of about 18 students from other branches changed their branch to CSE, and about 10 students from different branches to EE. Surprisingly enough, the last student to change his branch to CSE had a CGPA of 8.67.

Thus, branch upgradation is easier at IIT Jodhpur than at IIT Mandi.