### Brain Teasers

# Clap Your Hands

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?

BONUS! How many bows will the actors do if the auditorium is full?

### Hint

Just 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.)

### Answer

One bow = 4 cheers.4 cheers = 8 hops.

8 hops = 24 twitches.

24 twitches = 240 claps.

240/7 = 34.28

Since you can't have a fraction of a person, there must have been at least 35 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 three-quarters of a bow)

At most, they will bow twice.

Hide Hint Show Hint Hide Answer Show Answer

## What Next?

View a Similar Brain Teaser...

If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.

### Solve a Puzzle

## Comments

Pretty good.... though is not something I would rack my brain over, it was pretty easy.

Well, seeing 33.27, they would think three, which is incorrect, so...

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!

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!

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!

I good question for the classroom - thanks!

I agree the answer should be 35.

yup the answer is 35!! and really fun teaser.

35 is what I came up with. And shouldn't this be under math and not logic?

@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.

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.

Woah... Where'd I get 33? Probably a typo.

Damn Canaidans adn their typos...

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!!

To post a comment, please create an account and sign in.

## Follow Braingle!