Johan511
Old Schooler
Answer to Lockers
The key to this is realizing that some numbers have different numbers of factors. Prime numbers, for example, have only two factors, so, if they start closed, 1 opens them, and then the number itself closes it. You'll notice that every single number between 1 and 1000 has an even number of factors, except those numbers which are multiples of the same number (i.e. 3 x 3, 4 x 4, etc.). Looking at 16, its factors are 1, 2, 4, 8, and 16. 1 x 16 = 16, 2 x 8 = 16, and 4 x 4 = 16. But 4 only goes through the lockers once! These numbers are also known as square numbers.
The answer answer to your question Flatlander Fox is NOTHING
and here is the next riddle.
Prisoners
There are three convicts in a room, each one sentenced to life imprisonment. The judge says that he will set one free, if he can guess the color hat he is wearing. The bailiff brings in 5 hats, 3 of which are black, and the other two are white. Blindfolding the prisoners, he puts one hat on each prisoner's head, positioning them such that a prisoner can't see what color cap he's got on, and removes the extra two from the room. He then takes off the prisoners' blindfolds. Each prisoner can see only the color hat that his two companions are wearing, and not his own. After 10 minutes, one of the prisoners stands up and says, "I've got it!" What color hat does he and the other two convincts have on?
------------------
<IMG SRC="http://www.overgrow.com/edge/images/smilies/alien.gif" border=0>
[This message has been edited by Johan511 (edited July 06, 2001).]
The key to this is realizing that some numbers have different numbers of factors. Prime numbers, for example, have only two factors, so, if they start closed, 1 opens them, and then the number itself closes it. You'll notice that every single number between 1 and 1000 has an even number of factors, except those numbers which are multiples of the same number (i.e. 3 x 3, 4 x 4, etc.). Looking at 16, its factors are 1, 2, 4, 8, and 16. 1 x 16 = 16, 2 x 8 = 16, and 4 x 4 = 16. But 4 only goes through the lockers once! These numbers are also known as square numbers.
The answer answer to your question Flatlander Fox is NOTHING
and here is the next riddle.
Prisoners
There are three convicts in a room, each one sentenced to life imprisonment. The judge says that he will set one free, if he can guess the color hat he is wearing. The bailiff brings in 5 hats, 3 of which are black, and the other two are white. Blindfolding the prisoners, he puts one hat on each prisoner's head, positioning them such that a prisoner can't see what color cap he's got on, and removes the extra two from the room. He then takes off the prisoners' blindfolds. Each prisoner can see only the color hat that his two companions are wearing, and not his own. After 10 minutes, one of the prisoners stands up and says, "I've got it!" What color hat does he and the other two convincts have on?
------------------
<IMG SRC="http://www.overgrow.com/edge/images/smilies/alien.gif" border=0>
[This message has been edited by Johan511 (edited July 06, 2001).]
