-BSc(Hons.) in Mechanical Engineering with 2.41/4.00 GPA
-A graduate course in quantum mechanics
-Coursera certification in QM and QC course
-7th in national math olympiad
-and self study

-no really, lots of self study
-a good personal statement explaining a lot of stuff and 2 good recommendations letters
-lots of good extracurriculars, including some magazine articles about theoretical physics and science related activites though not really related to physics
Should I apply or is there no point in applying at all? Would a good GRE (General) help very much?
I'm hoping to sit for GRE and TOEFL which requires, at least for me, quite a financial investment. So I am asking to see if I should even bother.