What about these sentences?
1- Are you good at organising people?
2- Do you enjoy working in a team?
3- What do you do when your ideas don't work?
4- Do you listen to other people's advice/suggestions?
5- What do you do when you have too much work?
6- What time do you normally start work?
- He asked me whether I was/am good at organizing people.
2- He asked me whether I enjoyed/enjoy working in a team.
3- He asked me what I did/do when my ideas didn't/don't work.
4- He asked me whether I listened/listen to other people's advice/suggestions.
5- He wanted to know what I did/do when I had/have too much work.
6- He wanted to know what time I normally started/start work.
Why the present here is possible as mentioned by Amy?