This study endeavors to explore the aggressive and self-injurious behaviors of intellectually challenged adults Case study method has been adopted and BASIC-MR (Part-B) was used for collection of relevant data from the subjects. Results show that female client shows more aggressive behaviors and male client shows more self-injurious behaviors. Results of the data has been analyzed and presented on the basis of international research studies. A strong theoretical discussion has been done on the basis of established research worker’s views. Further in-depth qualitative and quantitative research with a strong theoretical discussion is recommended.