We know that a prime number is a number whose only factors are itself and 1. We also know that there is only one even prime number - and that is 2. Now for the puzzle, which is to find a three-digit number with the following properties:
1) Each of the three digits is a unique prime number greater than 1 and,
2) Each of those digits divides into the three-digit number with a remainder of 0.
Which 5 letter English word is still pronounced the same even if you remove
the first letter or
the middle letter or
the last lettter or
if you remove all three of these letters.
The aging king is at Death's door. But, alas, he has no heir to follow in his noble steps.
He decides a test will ensure that only the wisest subject in his kingdom will take the
throne after his eventual passing. The test is simple: he places a 100 carat ruby in a golden
chalice in the center of a 20 foot by 20 foot tapestry. The next ruler and successor to the throne
must grasp the ruby from the chalice with his bare hand without suspending from the ceiling or
stepping on the tapestry. Three days pass as nobleman after nobleman fails miserably to retrieve
the ruby from its golden perch. On the fourth day, as the kingdom nobility looked on in shock and
bewilderment, a sole young peasant boy grasped the ruby from the shimmering chalice without so much
as his shadow gracing the tapestry. Their new king was chosen. How did he do it?
John has 6 books, and poses himself with a challenge: ''If I placed each book side by side, I wonder how many different permutations I could arrange these books in...''.
Remember that if you switch any two books around on the shelf, it makes a different permutation.
A trucking contractor did not have room in his garage for 8 of his trucks. He therefore increased the size of his garage by 50 percent,
which gave him room for 8 more trucks than he owned altogether. How many trucks did he own?
30 passengers are on a bus. 19 get off at the first stop, 6 get off at the second stop and 2 get off on the third stop.
How many people are left on the bus?
I start at point X. I walk one mile south, one mile East and then one mile North and arrive back at point X. Where,
besides the North Pole, could point X be?
There is a story that a man and not a man
Saw and did not see a bird and not a bird
Perched on a branch and not a branch
And hit him and did not hit him with a rock and not a rock
(written by Plato)
This is an unusual paragraph. I'm curious as to just how quickly you can find out what is so
unusual about it. It looks so ordinary and plain that you would think nothing was wrong with it.
In fact, nothing is wrong with it! It is highly unusual though. Study it and think about it, but
you still may not find anything odd. But if you work at it a bit, you might find out.
Wednesday, Tom and Joe went to a restaurant and ate dinner. When they were done they paid for the food and left.
But Tom and Joe didn't pay for the food.
My stem's planted firmly where I am allotted.
My tail is wavy and my face is quite blotted.
I relay much emotion though flatly I'm spotted,
And I grow half my size whenever I'm dotted.
I can speak any language, yet utter no words.
I'm no seed, yet I am well known among birds.
But I do have a speech impediment:
I can say cage but not page, aged but not wage.
I can say deaf but not red, bed but not sled.
I live on a highway that's structurally sound,
Where you might see my friends accidentally bound.
It has many lanes, and also long lines.
There are lots of sharp turns, but plenty of signs.
I am played but not won, made but not spun.
The key is to measure before you've begun.
Bill was a Pilot. He was going to retire. But before he retired he wanted to do one more flight over the Atlantic
Ocean (Other people were on the plane). Bill crashed (To no surprise, he was 94) and every single person on the
plane died. The next week Charlie Marcial was interviewed on a T.V. show. He was famous because he survived Bill's
last plane crash. How is this possible?
There is a 5 gallon pail and a 3 gallon pail. You also have a hose with unlimited water. How are you going to make the 5 gallon pail have 4 gallons of water in it using
your items? (You do not know the exact measurements of a gallon.)
In a room, one cat is a mother, one cat a sister, one cat an aunt, one cat a cousin, one cat a grandma and one a granddaughter. What is the minimum number of cats in the room?
There was a green house. Inside the green house, there was a white house. Inside the white house, there was a red house.
Inside the red house, there were black babies. What Am I?
You want to go to a club but to get in you must respond correctly to what the bouncer says. The bouncer says
12 to one man and the man responds 6, he is allowed in. The bouncer says 6 to another man and the man
says 3, he too is allowed in. A third man walks up and the bouncer says 10 and the man responds 5,
but he is denied entry.
The noblemen looked on in amazement as the peasant boy, starting from one end of the long stretch
of tapestry, slowly and neatly rolled the fabric until eventually, sitting just inches away,
his bare hand grasped the fiery ruby and the boy became king!
Click to return to Riddle_5
In the first position, you can choose 1 of 6 books.
In the second position, you can choose any 1 of 5 books.
etc
So . . . 6x5x4x3x2x1 = 720 permutations
Since there are three statements it is possible that none, 1 ,2 or all 3 are true.
Since [A] is clearly true it cannot be none.
[B] cannot be true because then [B] would be the only true statement and we already know [A] is true.
Thus it cannot be only 1 that is true.
It clearly is not all 3 since we just found [B] is false.
That only leaves 2 true statements, namely [A] and [C].
Congratulations, you have just proven that 2+2=0 is True!
Both of them are liars! If the woman was lying, then there would be two Republicans.
If the man was lying, there would be two Democrats.
We are told that one is a Democrat and one a Republican and that at least one of them is lying.
Therefore, both are lying. The woman is a Republican.
Click to return to Riddle_11
40 trucks: his original garage could hold 32 trucks. By increasing the size by 50%, the new garage could then
hold 48 trucks - which is 8 more than he currently owned.
Click to return to Riddle_12
He did not have eyes, he had one eye. He saw two plums on a tree. He took one and left one, so he did not take "plums" or leave "plums".
Click to return to Riddle_14
Point X is just so far north of the South pole that after travelling the mile south, going 1 mile East takes the walker one
complete circumference of the pole. Then 1 mile north will take the walker back to point X. There are an infinite number
of points X on this line of latitude. There is another circle of points that is one mile north of the circle that is
1/2 that size where the mile East would take me on 2 complete circumerence of the pole. And so on for every fraction of an
integer eg 1/3, 1/4, 1/5 ...... infinity.
Click to return to Riddle_20
Solution 1: Touch the end of one bar (A) to the middle of the other bar (B) forming a 'T' shape. If the bars are attracted then bar A is magnetized and if they are not attracted then bar B is the magnet. This is because magnets have fields at the poles (the ends) but not in the middle. So the end would attract and middle would not.
Solution 2: Hang a rod from the ceiling and if it turns north than it is the magnetized rod.
Solution 3: Lay one rod (A) on the floor pointing North. Balance the other rod (B) on the other rod pointing it East-West, with its center on the center of rod (A). If rod (B) starts turning it is magnetized.
Only 3 minutes. She puts two pieces in the toaster, toasting one side of each. Then she flips one of them, takes one out,
and puts the completely untoasted piece into the toaster. Finally, she takes out the toasted piece and puts the two
half-toasted pieces of bread into the toaster for a minute and she's done.
It moves forward towards the front of the car, even though you are forced backwards. The helium balloon is less
dense than the air so when you accelerate the air in the car will move backwards compared to the balloon pushing
the balloon forward because the balloon is lighter.
You fill the five gallon pail up and pour it into the 3 gallon pail. The dump the 3 gallon pail out and pour what was left in the 5 gallon pail
into the 3 gallon pail so that you have 2 gallons in the 3 gallon pail. Then fill the 5 gallon pail up and pour it into the 3 gallon pail to
fill it up. Now you have 4 gallons in the 5 gallon pail.