The Disjunctive task refers to a task or project that is completed when a single solution, decision, or recommendation is adopted by the group.
It is a group task in which performance depends on how well the most talented member does, one example is a group of people trying to solve a difficult team building puzzle.
Other /More definition:
Disjunctive task refers to a group task in which performance depends on how well the most talented member does, example, a group of teenagers trying to solve a difficult word puzzle; tasks or activities where the performance of a group is based on the performance of its most talented member. Disjunctive task is also defined as a task or project that is completed when a single solution, decision, or recommendation is adopted by the group.