Arms and Legs But No Head

What has arms and legs but no head?

A chair.

Posted in Riddles

Where I Never Was

You saw me where I never was and where I could not be. And yet within that very place, my face you often see. What am I?

A reflection

Posted in Riddles

Has Wings But Cannot Fly

What has wings but can not fly.
Is enclosed, but can outside also lie.
Can open itself up or close itself away.
Is the place of kings and queens,
And doggerel of every means.
What is it upon which I stand,
Which can lead us to different lands?

A stage.

Posted in Riddles

Feet on the Hike

A man hiked through the woods with his dog and saw three coyotes, six wolf cubs, seven bunnies, nine squirrels and thirteen chipmunks. How many total feet were there?

Two. The man has two feet. The rest of the animals have paws.

Posted in Brain Teasers

I Sleep By Day

I sleep by day, I fly by night. I have no feathers to aid my flight. What am I?

A bat.

Posted in Riddles
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A Cabin in the Woods

In a small cabin in the woods, two men lay dead. The cabin itself is not burned, but the forest all around is burned to cinders. How did the men die?

It’s the cabin of a plane and the plane crashed.

Posted in Brain Teasers

The Ages of a Prince and Princess

A princess is as old as the prince will be when the princess is twice the age that the prince was when the princess’s age was half the sum of their present ages.

What are their ages?

This one took a while to figure out and there are numerous valid ways of finding the answer.

Here is the solution I came up with

I created the following table from the riddle:

 CurrentFuturePast
Princessx2z(x+y)/2
Princeyxz

I then created three equations, since the difference in their age will always be the same.
d = the difference in ages
x – y = d
2z – x = d
x/2 + y/2 – z = d

I then created a matrix and solved it using row reduction.

xyz
1-10d
-102d
.5.5-1d

It reduced to:

xyz
1004d
0103d
0015d/2

This means that you can pick any difference you want (an even one presumably because you want integer ages).
Princess age: 4d
Prince age: 3d

Ages that work

PrincessPrince
43
86
1612
2418
3224
4030
4836
5642
6448
7254
8060

To see other solutions check out the comments from when I posted this on my blog.

Posted in Brain Teasers

Seven Letter Word with Ten Words

There is a seven-letter word in the English language that has ten total words without rearranging any of its letters.

What is the word?

Therein

1. the
2. there
3. he
4. in
5. rein
6. her
7. here
8. ere
9. herein
10. therein

Posted in Brain Teasers

Paula and Quincy

Paula had four times the money that Quincy had, but after Paula gave Quincy $33, Quincy had 3 times as much as Paula.

How much did they each start with?

Paula had $48 and Quincy had $12.

If Q is the amount Quincy had, then 3(4Q – 33) = Q + 33

Solved, Q = 12.

Posted in Brain Teasers

Longest Word Without Repeating Letters

What is the longest word without any repeated letters?

Uncopyrightable, with 15 letters and not a single one repeated. Dermatoglyphics, the study of fingerprints, works too.

Posted in Brain Teasers