The four suits in a deck of standard playing cards
The Spade is a gardener’s tool.
The Diamond is the hardest gem to break. “Little Girl and Queen” is a Mother Goose rhyme, in which the Queen gave the girl a large diamond for picking the Queen some roses.
The Heart bonds with the mind to form love. Absence makes the heart grow fonder.
The Club, or Clover, is three dots connected around a stem.
The moon. The moon has a long association with being crazy (lunar being the basis for a lunatic). It shines at night, when you go to bed. The moon’s gravity creates the ocean tides and when the moon is different colors it can mean bad weather is on its way.
What is it that speaks without any words? And can be loudly and distinctly heard? Will drive away friend, and foe alike. And is enough to make a stolid man’s face alight?
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.
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.
This is becomes a self-referential paradox. Both A and D would be correct if there were four unique answers, but since A and D are the same answer, the chance that you would choose a correct answer is 50%, which makes B correct. But if there’s only one correct answer, the odds of choosing the correct one at random goes back to 25%. And around and round you go.
The 17 items in your shopping cart weigh 8 pounds. But when your daughter puts in a ball, poster board and yo-yo the shopping cart weighs less. How is that possible?
Two men are standing on one side of a bridge and two women are approaching them. One of the men says, “Here comes my wife and daughter” to which the second man replies, “Here comes my wife and daughter”. If they have not married the same woman and the women aren’t pregnant, how is this true?