Hi aspirant, For MSc- Phd you need to give GRE exam and any one from TOEFL or IELTS.  You need to make a list of the Universities that have the programme that you are interested in pursuing. Once you sort down the colleges, you need to check for their deadlines. In the US most of the programmes start from September. All thr institutes do not have the same deadline. So it is important to check for individual deadlines. It is also important to check the eligibility criteria. It is different from institute to institute. 

You haven't mentioned for which course you want to take up M.Sc - Ph.D and the country you are interested in. So this is general information. Ideally you should start preparing atleast 15 months before the admission. You need to make a list of the Universities that have the programme that you are interested in pursuing. Once you sort down the colleges, you need to check for their deadlines. In the US most of the programmes start from September. All thr institutes do not have the same deadline. So it is important to check for individual deadlines. It is also important to check the eligibility criteria. It is different from institute to institute. Youbshould take standardised entry level tests like GMAT, GRE, TOEFL, IELTS, MCAT, LSAT and others. Then comes the screening process. Once your application is approved, you need to apply for student visa and educational loan if required.