eleven times
If you start at 12:05, the minute hand passes the hour hand once between 1:00 and 2:00, once between 2:00 and 3:00, and so on through the 10:00 hour. After 10:54, the next time the minute hand passes the hour hand is 12:00.
It could be four times per day: 9 AM, 9 PM, 3 AM, and 3 PM. Note: The question as stated is false and would likely cause controversy if it was on an important exam. The question should be "If the minute hand is pointing to the twelve and the hour hand is perpendicular to the minute hand, what times could it be?"
Oh, dude, you're hitting me with the clock riddles now? Alright, let's see... The hour hand moves 30 degrees every hour, so it'll be at 90 degrees four times between 9am and 3pm. The minute hand will be at 90 degrees once every hour, so that's five times total. So, like, five times in total, I guess.
24
23 times
It should be 12 times if you assume that the hour & minute hand line up exactly on top of each other, which would make an angle of zero. Which in a 12 hour period would occur at following times: Noon or Midnight 1:05 2:10 3:15 4:20 5:25 6:30 7:35 8:40 9:45 10:50 11:55
The minute hand will cross over the hour hand once every hour. So in 12 hours, the answer is 12 times.
Disregarding the second hand (for a few seconds), the hour and minute hands overlap (point in the same direction) 22 times in a 24 hour period. It happens once after every hour except the 12 o'clock hour. After 12 o'clock, the next occurance is after 1 o'clock. The fractions of a minute required for these overlaps do not always coincide with the number of seconds that the second hand would have to register in order for the second hand to 'join' the hour and minute hands. The only times that all three hands are perfectly overlapping (pointing in the same direction) is at 12 midnight and 12 noon. So the second minute and hour hands are in the exact same place only twice during every 24 hour period. The hour and minute hands join each other every 65.454545 minutes, or 32.727272 degrees. The minute hand advances 163.636363 degrees each time the hour and minute hands overlap.
22 times
24 times
twice an hour, at the 15 minute mark and 45 minute mark.
360 times
44 times in 24 hours.(Considering the hour- and minute-hands only.)
The hour and minute hands are in a straight line opposite each other at 6 o`clock, and at 10 other times during any 12-hour period, for a total of 22 times a day.They also overlap 22 times a day, at 20 times other than at 12 o'clock.(see related question)
22 times
The hour and minute hands of a clock lie in a straight line 22 times a day. This occurs when the two hands are either aligned together or directly opposite each other. Since this alignment happens 11 times in a 12-hour period, it totals to 22 occurrences over a full 24-hour day.
alot
In a 12 hour period, 12:00:00am to 11:59:59am, the hands cross exactly 11 times. Why not 12? The hands do not cross in the 11th hour. The minute hand makes 12 rotations and the hour hand 1, in the same direction; 12 minus 1 equals 11. This means there are 11 intervals in the 12 hours. Since both hands are moving at a constant speed the intervals must be equal. The answer is 12/11th's of an hour. 12 / 11 = 1 hour and 60*1/11 minutes = 1 hour 5 minutes and 60*5/11 seconds = 1 hour 5 minutes 27 seconds and 3/11 fractions of a second or = 1:05:27.2727... Sanity check: Do the hands cross just after 5 minutes past 1 o'clock? Yes.