"Teaching vs. research" as a global false dichotomy will be the focus of this study. A modest but very universal evidence is revealing itself in world university rankings in every year. It is not deniable that university rankings are not well taken by intellectuals. They contempt the ranking criteria for being inappropriate and irrelevant for the social, moral, and academic values prevalent at universities. They severely criticize the exploitation of competitive, market driven potentials of universities. So many eminent scholars display their sense of humour by labelling these ranking ritual as "University Olympics" or as "horse race". It is obvious that such a contest propagates the profitable positions of high rank universities. Fortunately, egalitarian values still reign supreme in higher education. However, equality does not necessitate justice. Justice requires discrimination when needed. It is impossible to ignore the existence of collegial hierarchy. The diversity is a reality among the universities in every country. Neither the students nor the researchers are all alike. Their uneven aptitudes and proficiencies result with ordered categories. These and many other facts compel the ranking culture to endure despite the opposing criticisms mentioned before. As a matter of fact, it is impossible to omit the inter-institutional differences. Instead of resisting the comparative information one can exploit it for the common concern or at least to reinforce the curiosity. Times Higher Education (THE) World University Ranking summarizes annual performances of prominent universities all around the world since 2012. Ranking criteria involves Teaching, Research, Citations International Outlook, and Industrial Income with differential weights. The purpose of this study is to display the correlations between the variables used as criteria to rank the world universities for 2018. It has been hypothesized that Pearson product moment correlations would have been significantly high and positive. Moreover, the correlation between Teaching and Research will be the highest one among all the other paired criteria in every different context.