What makes a competitive candidate for a top-notch graduate school?
Many factors go into admission to graduate school. Grades, especially in the proposed area of graduate study, are very important. The GRE counts, but often not as much as letters of recommendation from those who have taught you and better yet, from those with whom you have done research. A PhD program usually looks for research and scholarly potential. Talk to professors in the area you are interested in with whom you might want to work and see what they have to say. Admission to graduate school is based on a broader range of factors than just grades and test scores.