Decorating With Tiles

You are decorating for spring and you’ve found a bargain. A huge box of beautifully decorated tiles, enough to provide a border in two rooms. You really can’t figure out how to arrange them. If you set a border of two tiles all around, there’s one left over. If you set three tiles all around or four or five or six there’s still one tile left over. Finally you try a block of seven tiles for each corner and you come out even. What is the smallest number of tiles you could have to get this result?

301. This is the smallest number that even divides by 7, but when divided by 2, 3, 4, 5, and 6 gives you one left over.

Posted in Brain Teasers

Something Dark Inside

Comes as wooden as a tree,
Covered in paint, don’t you see,
Makes you laugh, or run and hide,
For it has something dark inside.

A pencil. It’s wooden, is covered in paint and the output of a pencil in the form of writing or art can make you laugh or cry. And graphite is the dark part inside.

Posted in Riddles

My Tines

My tines are long.
My tines are short.
My tines end ere
My first report.

What am I?

A lightning bolt.

Posted in Riddles

I See Much But Change Little

I see much but change little,
I am firm, irresolute,
Powerful but gentle,
I can rip apart mountains,
Yet be moved by gentle stirrings,
I am valued and wasted,
I am life itself,
And I give life to others.

What am I?

A tree. A tall one can see long distances but don’t change much. They are strong and powerful, and the roots of a tree can slowly tear apart a mountain. The gentle stirrings of the wind can blow their branches and leaves. Trees are valuable as they provide wood and paper, but they are also wasted. And lastly, trees, like all plants, provide us with life-giving oxygen.

Posted in Riddles

Ex-Spouse’s Former Daughter-In-Law

What do you call your ex-spouse’s former daughter-in-law’s first husband’s daughter?

You can call them whatever you want, but they have no familial relationship to you.

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:

  Current Future Past
Princess x 2z (x+y)/2
Prince y x z

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.

x y z
1 -1 0 d
-1 0 2 d
.5 .5 -1 d

It reduced to:

x y z
1 0 0 4d
0 1 0 3d
0 0 1 5d/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

Princess Prince
4 3
8 6
16 12
24 18
32 24
40 30
48 36
56 42
64 48
72 54
80 60

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

Posted in Brain Teasers

Even Seven

How can you make seven even?

Remove the letter “s”, turning it into the word “even”.

Posted in Brain Teasers

Moved Like the Tide

Dear Brother,
In the past, men believed
that it moved like the tide.
Till its movement desists,
we will always be this.

Blood.

By Sef Daystrom

Posted in Riddles

Petals Around the Rose

Here are five rolls of dice, with their score.

Roll #1 – Score: 6

Roll #2 – Score: 4

Roll #3 – Score: 4

Roll #4 – Score: 8

Roll #5: 0

This is what you know:

1. The name of this game is significant (Petals Around the Rose)
2. The answer is always even

How is the score determined?

The solution is to count the dots (petals) surrounding the center dot (the rose).

Only odd numbers have a center dot, so even numbers (2, 4 and 6) are worth zero.

1 doesn’t have any surrounding dots, so it too is worth zero.

The three has two dots surrounding the center, so it’s worth two.

A five has four petals around the rose making it worth four.

Posted in Brain Teasers

Graphical Rebus Three

What does this rebus represent?

Rebus

Can You Feel The Love Tonight?

Posted in Riddles
Tagged with