The data relate to two experiments that use dual-task interference to provide support for multiple distinct executive functions and to establish the differential contributions of those functions in two relatively complex executive tasks – Random Generation and the Wisconsin Card Sorting Test. Each data set consists of separate data files from each participant in four conditions: a control condition without a secondary task and three conditions with different secondary tasks. See http://dx.doi.org/10.1080/17470218.2011.629053 for details of the experiments.