Clap Your Hands
Logic puzzles require you to think. You will have to be logical in your reasoning.
There is a special auditorium that holds 100 people. It is not full. Each person claps seven times after a performance. Every time ten claps are heard, the man in the front twitches. Every third twitch, one of the actors hops. Every two hops, a person in the crowd cheers. Every four cheers, the actors bow. If they only bowed once, what is the least amount of people that can be in the auditorium?
BONUS! How many bows will the actors do if the auditorium is full?
HintJust try going through the whole process backwards.
BONUS! Try doing the process forward. (Remember you can't have a fraction of a twitch or a clap, ect.)
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Answer
One bow = 4 cheers.
4 cheers = 8 hops.
8 hops = 24 twitches.
24 twitches = 240 claps.
240/7 = 32.28
Since you can't have a fraction of a person, there must have been at least 33 people.
BONUS!
100 people = 700 claps.
700 claps = 70 twitches.
70 twitches = 23 hops. (You can't have .3 of a hop)
23 hops = 11 cheers. (You can't have half of a cheer)
11 cheers = 2 bows. (You can't have threequarters of a bow)
At most, they will bow twice.
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Comments
mathgirl
May 26, 2011
 Pretty good.... though is not something I would rack my brain over, it was pretty easy. 
Mathgeek007
May 26, 2011
 Well, seeing 33.27, they would think three, which is incorrect, so... 
dalfamnest
May 27, 2011
 I suggest that the answer is given is incorrect, and that this is actually a much more tricky question!
33 people = 231 claps
... thus 23 twitches
... and seven hops
... making three cheers
... and we are still waiting for the first bow!
This will be an very good teaser when it is corrected! 
dalfamnest
May 27, 2011
 Oops  forget most of that ... the error is in your final calculation! 240/7 = 34.28, so the answer is 35. Not so difficult, as long as people remember to round UP instead of to the nearest whole number.
I good question for the classroom  thanks! 
jhosek
May 27, 2011
 I agree the answer should be 35. 
princess2007
Jun 02, 2011
 yup the answer is 35!! and really fun teaser. 
Kronos
Jun 20, 2011
 35 is what I came up with. And shouldn't this be under math and not logic? 
cwjakesteel
Jun 22, 2011
 @Kronos
It's too easy to be put under math. It's more logic because you have to think about how you have to come up with the answer.
It was easy, but fun. The correct answer is indeed 35. 
Mathgeek007
Jun 23, 2011
 Woah... Where'd I get 33? Probably a typo. 
Vengeance101
Aug 26, 2011
 Damn Canaidans adn their typos... 
Mathgeek007
Aug 26, 2011
 
zembobo
Nov 17, 2011
 Fun and I think it's catagorized just fine. I got 35 and u make me nervous when I looked at the answer posted :) I got the bonus too!! 
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