Pi Day Riddles! (7 Pi Each)!

1. There are 500 coffins and 500 men who need them. The undertaker asks the first man to go to every coffin and open them. Then he tells the second man to go to everyone and close it. The third one goes to every third coffin and so on. How many are open?

2. In a bicycle race, the man who came two places in front of the last man finished one ahead of the man who came fifth. How many contestants were there?

3. You have 14 brown socks, 14 blue socks and 14 black socks in your sock drawer. How many socks must you remove (without looking to be sure) to have a matched pair? 

4. Joe has ten coins totaling $1.19. From these coins, he cannot make exact change for a dollar, half-dollar, quarter, dime, or nickel.

5. There are 12 kids in a classroom. 6 kids are wearing socks and 4 are wearing shoes. 3 kids are wearing both. How many are bare feet?

2. six

3. four

5. five

4. four pennies, one quarter, one half dollar, four dimes

1.22

2.6

3.4

4.4 pennies, 1 quarter, 1 half dollar, and 4 dimes.

5.7

Just solved 1. (answer 22) but he beat me to it.

I am curious @Chessisfunforme, what was your method for solving number 1?

I'm asking because it seems fairly difficult to solve, especially in such a short time, so I am curious how you accomplished it. (I can share my method).

5. 5

(12-6-4+3)

2. 6

(5-1+2)

3. 4

(1+1+1+1)

for 1. I am confused, what is the 3rd person doing? Is opening and closing an on-off button? Is it just closing everything? Is it opening everything?

It wasn't worded very well (no offense AA). Each person is either opening or closing the lids.. they are just switching it. The first person goes to every coffin, the second goes to every other coffin, the third goes to every third coffin, the fourth to every fourth coffin, etc. etc.

To prevent people googling answers, I like to re-write problems like these. This one could have been a row of 500 light switches, and the question is how many lights are on at the end.  I did something similar for my riddle about the poisoned skittles (which has only been partially answered still).

Okay, so then the answer is the numbers with odd factors

Perfect squares

x^2<=500

so 1. is 22

So how would you go about counting that?

ah i see.