Princeton

Princeton University courses popular among international students are Social Sciences, Engineering, Computer and Information Sciences and Support Services, Biological and Biomedical Sciences, Public Administration, Physical Sciences, History, Foreign Languages, Literature, Linguistics, English, and so on. Princeton University is also distinctively recognised for its research activities and commitment to undergraduate teaching. Some of the popular undergraduate majors among international students are Computer Science, Public Policy Analysis, Biochemistry, and Ecology. 

https://www.shiksha.com/tags/princeton-university-tdp-358252
Please check it here.

Hello Ayush,
For a definition please check here:
https://en.wikipedia.org/wiki/Ivy_League
Ivy
Leagues represent excellence, irrespective of the nationality you have to excel in your academics and be an all-rounder. You must have the potential to give back to the society. Apart from these traits, you must take the SAT or ACT to be considered for admissions. I will advice you to check the university websites, go through the admission requirements and mould your profile. Please visit the wiki link above.

You need a CGPA of 4 and higher to apply to ivy leagues. Your overall profile that includes co-curricular, sports, community services, etc. should also be impressive.

Take a sample test on any of the free test sites and check your level. if you need preparation, you may join any of the classes mentioned by you to score high.

Hi, LORs are generally from counselors, teachers, supervisors and managers ( if you are working), it has to be someone who knows your skills and competencies, if the students you are talking about worked with you or are in a position of recommending you, they might but generally its s no.

Hi
The only similarity is that both contain Quantitative aptitude and English but the level of GRE is as per the international standard so it might not give you the same practice. You may try some sample papers of ssc cgl and see.

Hi Sauvik,
It's hard to compare, both TPR and Manhattan are quite popular. One way to find out is by visiting the centers and find out the statistics. Try to get in touch with ex and current students. Compare the study materials and the schedule, most importantly are the instructors certified? Diagnostic tests are important, enquire how realistic are the mock tests with the actual tests. Finally it's upto an individual how he deals with competitive tests no matter what. So choose the center as per your suitability.
Hope this helped. Please feel free to revert for any clarification.

Hi Mini, Princeton is the No.1 national university in USA and is recognized for its commitment towards teaching. One of the top 10 for Computer Science, getting into Princeton is not easy as it is one of the Ivy Leagues and candidates with exceptional grades and extra curricular are admitted.
Noteworthy to mention that famous personalities including Alan Turing, Alonzo Church and John von Neumann were among the residents at Princeton ( computer science department).
Hope you now have a feel of what is it like to study Computer Science at Princeton.
Good Luck.