The problems associated with the predictive validity of general intelligence and non-academic (social and emotional) intelligence remain relevant and controversial. In order to test the hypothesis that the complementarity of intelligence types can determine academic success and the formation of universal competencies among university students, we obtained (two independent samples) characteristics of general (“Progressive Matrices” by J. Raven, “The Principal Way of Grouping” by A. Lobanov), social (G. Gilford’s test) and emotional intelligence (EmIn by D. V.