JAM

To SEE that go to official IIT JAM portal, then SEE the list of admitting institutions and courses offered by them.

Every year various IITS and participating institutions conduct IIT jam exam for various papers.
Every candidate has a option to opt for maximum two papers depending upon the shedule. THE papers one chose must be in different shifts. However it is completely optional to choose two paper.
Most of the students chooses only paper.
So yes you can take only Ph.

Whatever mentioned in brochure is correct. Please only follow IIT JAM official Boucher only.

Yes, you can give the IIT JAM exam. All what anyone needs to give IIT JAM exam is to have Bachelor's degree or in the final year.

Although low but, yes with that much of rank there is a possibility that you will get IIT, otherwise try for a good NIT.

Your rank should be under 30.

EMT DJ Griffiths
Thermal Physics Garg Bansal and Gosh
Classical Mechanics Klepner and Kolenkow
Madhya Pradesh HK dass
Quantum mechanics Arthur Beiser.

Please check the last year's cutoff so that you can get best idea for your admission.

If you are among top 5 student of Your department/College then you can apply in IIT Gandhinagar on the basis of merit. Search IIT Gandhinagar early admit programme, there you will get information. Also IIT mandi offers admission without jam.

Your whole six semester marks will be considered.