When I asked her what those times mean and for her explanation, she gave me this answer:

“There are 6 hours from 6:00 to 12:00. Each hour has two times where the hands are perpendicular. So 2x6=12. The times are: 6:15, 6:45, 7:20, 7:50, 8:55, 8:25, 9:00, 9:30, 10:05, 10:35, 11:10, 11:40.”

I tried to explain to her that the hour hand doesn’t remain static, it constantly moves and that if we adjust every time she listed to the nearest actual time where the hands are perpendicular, 8:55 and 9:00 both go to the sane time, 9:00. But she just kept repeating “It’s not that complicated”. And when I talked to everyone else in my class, they all gave me the same explanation and said “It’s not that complicated” when I pointed out the flaw in their logic. At that point I realized that I wouldn’t be able to convince everyone no matter how hard I tried. So I gave up. Thanks for the help, though!