All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad (saw) is His slave and Messenger. If your mother needs to be cared for and she might be harmed if this care is not provided for her, then it is an obligation to provide her with this care. This obligation does not fall on one particular child, but on all the children. Therefore, you are obliged to care for your mother in the same way all your brothers and sisters are obliged to do so. However, if your brothers and sisters do not take care of your mother in a way to assure that she would not be harmed, then it is an obligation on you to stay with her.Nonetheless, if you are able to provide her with a trustworthy maid who is able to fulfil her needs as required, then you are not obliged to stay with her. In case it is not possible to provide her with a maid, then you are obliged to stay with your mother and be kind to her, and Allaah may recompense you with something better than studies. If we presume that there is no hindrance for you to go to study, and if going requires travelling then you are not permitted to travel except with a Mahram (i.e. a person whom one is permanently prohibited from marrying due to suckling, marital, or blood relations); for more benefit please refer to Fatwa 83795. Allaah Knows best. (Source: islam_web) Classified in Etiquettes, Morals, Thikr and Du'aa' > Etiquettes Related to Dealing with Others