What is the Five Digit Number?

What 5-digit number satisfies the following requirements?

1. No zeroes
2. First two digits are the same
3. Fourth digit is twice the first
4. Last digit is twice the third
5. Sum of all digits is 18

33264.

There are several ways of solving this. One way is to represent each spot with a letter, A – E.

Then you have these equations:

A = B
D = 2 * A
E = 2 * C
A + B + C + D + E = 18

By simplifying, you get:

4 * A + 3 * C = 18

Plug in values for A and C to find that A = 3 C = 2.

Posted in Brain Teasers

TOWN Rebus

What does this represent?

T
O
W
N

Downtown.

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Two Identical Women

Two women apply for a job. They are identical and have the same mother, father and birthday. The interviewer asks, “Are you twins?” to which they honestly reply, “No”.

How is this possible?

They are triplets.

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What Three Digit Number

What 3 digit number has a tens digit that is 5 more than the ones digit and a hundreds digit that is 8 less than the tens digit?

194

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One Three Five

What word comes next?

one three five four ______

Four. Each word is the number of letters in the previous word. And since four has four letters, it would continue with four forever after.

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Snakes and Mice

On a remote (imaginary) island, there are 11 snakes and a single mouse. As you’d expect, snakes eat the mice. But contrary to what you’d expect, when a snake eats a mouse, it turns into one.

The snakes live by only two rules:

1. Don’t get eaten.
2. Eat mice as long as rule #1 isn’t violated.

How many snakes and mice will there be left on the island?

10 snakes, 1 mouse.

If there were only a single snake and mouse, the snake could eat the mouse, then turn into one, leaving a single mouse.

If there were two snakes and a single mouse, rule 2 would keep either of the snakes from eating the mouse to avoid being eaten themselves.

With three snakes and one mouse, one of the snakes could eat a mouse and be safe as a mouse thanks to rule 2.

This pattern continues. With an even number of snakes, nothing happens. With an odd number of snakes, one snake can eat the mouse.

Thus, with 11 snakes, one snake would eat the mouse, turn into one and leave 10 snakes and 1 mouse.

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Thirty White Horses On A Red Hill

Thirty white horses on a red hill,
first champ, then stamp, and then stand still

Your teeth.

Posted in Riddles

Twice As Many Women As Children

At a party of thirty-five people there are twice as many women as children and twice as many children as men. How many of each are there?

20 women, 10 children and 5 men.

To figure it out, let m be the number of men and you get this equation:

4m + 2m + m = 35
7m = 35
m = 35 ÷ 7
m = 5

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Door Body and Knot

A door, a body, and a knot can be this.

Double. Double doors, a stunt double (for an actor) and a double knot. And there’s also the double rainbow :)

By Sef Daystrom

Posted in Brain Teasers

I Always Send You In The Right Direction

I always send you in the right direction,
I’m arrayed in black and white,
Ignore me and lose my protection,
No more than two words are in sight.

What am I?

one-way

A one way street sign. It tells you the correct way to go, is black and white (in the United States), going the wrong way can get you a citation and the sign only has two words on it.

Posted in Riddles