@IslaRoses, thanks for mentioning this. My Sims always talk while studying, but they usually study in the dinning room, the outdoors, or the toddler's bedroom , all of which usually don't have a radio, so I wasn't sure if they could do that or not! I also usually don't have them eat or drink for doing homework as they either do homework waiting for dinner to be made (If there aren't leftovers) or else after they have eaten. (I prefer to have them watch TV while eating to multitask! 🙌 )
I did notice in my Sim's dorm that she could listen to the radio while doing homework and studying! 🥳