This is a very open question. Men and women may do many different activities in a private room, depending on their personality, interests, relationships and environment. Here are some possible scenarios:

1. Chat and exchange: Men and women may just sit in the room and chat and exchange their lives, interests and opinions. They may share each other's stories, discuss some problems, or just chat.

2. Watching movies or TV: Men and women can watch movies or TV programs in their rooms. They may choose a movie, or choose different TV programs according to their own interests, watch them together and share their views.

3. Do housework: Men and women may do housework together in this lonely room. They may clean the room, tidy things or do laundry together.

4. Cooking together: Men and women can cook together in the kitchen. They may prepare ingredients together, cook together, or cook some simple meals together.

5. Games or recreational activities: Men and women may play some games or recreational activities in the room, such as playing cards and board games, or singing and dancing together.

Please note that these are just some possible situations, and the actual situation and activities may vary according to the situation.