September 24th
Logic
Level
1
September 24th. If this date is represented on a regular clock, then the hour hand will be between 9 and 10, and the minute hand will be on the 24th minute.
What's the obtuse angle between the 2 hands?
126
138
150
112
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
The angle between 9 and 10 of the regular clock is 360º/12 = 30º.
As the minute hand is on the 24th minute, the hour hand would have moved (24/60) of that 30º, which is 12º. This means that on 9:24, the hour hand is on the 47th minute. (The angle between each minute is 6º, so 9 x 5 + 12/6 = 47)
Now, the obtuse angle between the 2 hands is 6º(47-24) = 6º(23) = 138º