JEST

Hi Venkatesh,
I am having something for you, have a look.
Before the exam:
The meticulous study is the correct approach that can help you resolve all your doubts and attain lucid perception of various theories, concepts and their uses regarding the syllabus. Try to solve as many as mock test papers & previous years papers, especially 1-2 months before the exam, as it will give you a clear idea about the difficulty level, pattern, & how to allot the minimum time to solve a particular type of questions. This will help you know yourself, your capabilities & the field in which you are lagging. You should give at least 6 to 7 hours daily to your studies. The best way to prepare for the exam is preparing a time table and then sticking to it throughout the preparation tenure. Refer to standard books only, and prepare hand-written notes. During Exam:Always remember Time is the key to success. Learn to manage your time. Try to solve a question with maximum speed, allotting a very little time to it. Don't spend too much time on a particular question, it's better to move on and solve other questions. Try to attempt section first which you can do very fast. Don't try to attempt the questions which you don't know or don't know to solve. Keep negative marking policy always in your mind.

JEST is joint entrance screening test. It is conducted in the month of February once every year. Where can I write JEST exam? JEST exams are conducted across major cities of india, it is conducted in many cities like Ahmadabad, Aligarh, Allahabad, Bangalore, Mumbai, Nagpur, Pune, Raipur, etc. Eligibility for JEST:
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M.Sc/ME/M.Tech/MCA and related disciplines, interested in maths aspect with computer science will be considered for Ph.D programme.
-Talented B.Sc/BE/B.Tech graduates are eligible for Master's degree.
JEST is the exam via which students are selected for interview, JEST is conducted for Ph.D and integrated Ph.D programs for physics and computer science every year.
-GATE score cannot be used instead of written exam of JEST but it is used for shortlisting candidates for direct interview for Ph.D programs.

Neil Menon's answer provides satisfactory details, and I don't differ when it comes to Classical Mechanics and Quantum Mechanics, but have a point to add about Special Relativity (classical):
I would say that to really appreciate Special Relativity, one needs to read Introduction to Special Relativity by Robert Resnick a very thin book, with 4 chapters and many excellent examples and exercises once in life. I would suggest try to solve each and every problem, know the book from cover to cover. D. J. Griffiths Introduction to Electrodynamics also delves into Relativity in the last chapter, dealing with the very useful 4-vector formulation, unlike Resnick, in his usual elegant and simple style: it might also be very useful as far as problem-solving is concerned.