3:15pm
Logic puzzles require you to think. You will have to be logical in your reasoning.
Once more, Mad Ade is waiting for the local Kebab shop to open.
He glances at his clock and notices the time is 3:15pm. Out of sheer boredom Mad Ade works out the angle between the minute and hour hand.
What was the angle between the hour and the minute hands at 3:15pm?
Answer
7.5 degrees
At 3:15, the minute hand will be perfectly horizontal pointing towards 3, whereas the hour hand will be moving towards 4. Also, the hour hand must have covered 1/4 of angle between 3 and 4.
The angle between two adjacent digits is 360/12 = 30 degrees.
Hence, 1/4 of it is 7.5 degrees.
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Comments
dewtell
Aug 08, 2002
 Shouldn't this be under Math, not Logic?

madade
Aug 08, 2002
 it fits both. 
sillywilly
Aug 08, 2002
 Either 7.5 or 352.5 (I was hoping for 352.5, actually), and I fail to see the logic in this puzzle. A fun problem to solve for its simplicity. 
CheeseyGeezar
Aug 09, 2002
 Gosh, me being stupid, i thought there wouldn't be any angle because they would be diretly on line! Am I Stupid or What? 
madade
Aug 09, 2002
 don't worry about it Cheesy, most people do, that was one of the main premises of the teaser. 
turnadlumpquist
Aug 12, 2002
 The answer is zero degrees. 
turnadlumpquist
Aug 12, 2002
 I realize I am mistaken. I have my logic. However, I fail to see how the answer works... 
madade
Aug 12, 2002
 At 30 the hour hand would be on the 3, or at 0 degrees in a standard cartesian coordinate system. The minute hand is at 12, or 90 degrees. The hour hand moves onetwelfth of 360 degrees, or 30 degrees, every hour. Therefore, in fifteen minutes (1/4 hour) it moves 7.5 degrees. In the same time, the minute hand moves to the 3, which is 0 degrees. So the angle between the two hands is 7.5 degrees 
brainjenning
Aug 13, 2002
 Yippeee!
One with no kebabs and I think madeade can actually do this one! 
Drunky
Aug 13, 2002
 the answer isnt zero cuz as the minutes pass the hour hand will slowly move towards the other hour. it wont just make a huge jump to the other hour every 59 minutes and 59 seconds 
trymah
Aug 16, 2002
 it should be under math, and it was too easy for a 2¼ difficulty rating. 
curly
Aug 20, 2002
 I bet you acctually sat there and worked it out didn't you.These kind of teasers,are just no fun,its just like doing maths homework all over again 
dumbell
Aug 24, 2002
 I agree with those who state that this should be under math. If MAD ADE still thinks logic could he please explain why logic. 
sakirski
Oct 10, 2002
 The reason this is in Logic (IMHO) is that the actual math involved in this puzzle is trivial. Getting to the math and figuring out the approach, how to solve this, and why it needs solving in the first place (of the first glance the angle ia 0), now that is all logic 
dsquared
Nov 17, 2002
 I agree with sakirski. The math is trivial once you get past the fact that it will not be zero degress, but the zero degrees part of it is probably the biggest hurdle. AGTMA... Another Great Teaser MadAde. 
jonnyonline
Jan 22, 2003
 madade claims to have a proof showing how to trisect a 60 degree angle with a straight edge and compass 
Rowsdower
Dec 03, 2003
 Excellent teaser! I was a bit slow on the uptake even with the answer, but my mini mental paradigm shift was fun! 
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