Guidance regarding Mathematical Physics

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junkicide
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Hello all,
I've done an MSc in Physics alongwith a BE in Electronics Engg, graduating in 2014. My scores are quite poor (GPA: 6.23/10), but I am interested in doctoral studies in Mathematical Physics. I wrote exams for PhD admissions here in India for this year but did not fare well enough for an admit at any of the good institutes.
I do not want to spend another year just studying the material again and am hence looking to further my knowledge and better my profile to apply to institutions abroad.
I've tried approaching professors here for informal guidance but they seem not too keen to take students who aren't enrolled anywhere.
I am also doing relevant MOOCs as and when they are being offered.
Are there any other things you suggest I could do to better my profile so I can apply to doctoral programs abroad in about a year?
 
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Admissions here are primarily based on the exam scores of these entrance exams, they evaluate your profile only after that. So if you don't make the cut-off for these exams you are not even considered.
The reason I was thinking of applying overseas was that they have a more holistic view of their candidates, not simply based on one metric.
Also, my MSc+BE dual degree is from one of the reputed institutes here.