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

The Old Man’s Book

Milton shuffled slowly along the shelves browsing books. He finally walked up to the counter and handed the girl a book. She looked at the inside cover and told him it would be $3.75. Milton handed her the money and walked away without the book. The girl watched him leave empty-handed but didn’t try to stop him. Why?

Milton was a forgetful and naughty fellow. He was summoning his courage to approach the counter to return his overdue book. The kindly lass at the counter saw the book was 15 days overdue and had accrued the egregious late fee of $3.75 (25 cents a day). Lesson learned, Milton never returned a book late again.

Posted in Brain Teasers

Can’t Be Touched, Can Be Felt

It can’t be touched, but can be felt.
It can’t be opened, but can be gone into.
Those who seek it always find it under something,
yet it moves from place to place.

Shade. You can’t touch shade, but you can feel its coolness. You can’t open shade but you can go into it. If you’re looking for shade it always has to be underneath something to block the light and shade moves as the light does.

Written by Sef Daystrom

Posted in Riddles

One Tooth To Bite

One tooth to bite,
He’s the forest’s foe.
One tooth to fight,
As all Norse know.

What is it?

An axe.

Posted in Riddles

Coffee

What does this represent?

COF FEE

Coffee break. The word coffee is broken into two pieces.

Posted in Brain Teasers
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An Eye In A Blue Face

An eye in a blue face
Saw an eye in a green face.
‘That eye is like this eye’
Said the first eye,
But in a low, not high place.

The sun shining on daisies.

Posted in Riddles

Loses Its Head Every Morning

What loses its head every morning only to get it back every night?

A pillow.

Posted in Riddles

Thin, Bold, Sick And Cold

One thin, one bold,
One sick, one cold.
The earth we span,
To prey upon man.

Who are we?

The Four Horsemen of the Apocalypse.

Posted in Riddles

Balance Twelve Eggs

Suppose you have twelve eggs and a balance scale. All of the eggs are identical except for one whose only difference is its weight. Using the scale only three times, determine which egg is the odd egg out and whether it is heavier or lighter than the other eggs.

Weigh four against four. If they’re equal, weigh three of them against three you haven’t weighed. If they balance too, weigh the last remaining egg against any of the others to see if it is lighter or heavier. If the three suspects are heavier, weigh one of them against another and the one that goes down is it. If they balance the remaining suspect is heavy. Use the same process if they’re lighter. If the initial four vs four don’t balance, weigh two heavy eggs and a light egg against one heavy egg, one light one and a known normal egg. If they balance weigh the remaining two light eggs against each other. If they balance the unweighed heavy egg is the odd one out. If the side with two heavy eggs goes down weigh them against each other. If they balance it is the light egg on the other side. If the other side goes down it is either because of one heavy egg on that side or because the one light egg on the other side is lighter than the rest. Weigh one of them against a known normal egg to determine which is true.

Posted in Brain Teasers

Stan’s Birthday

Phil asks his friend Stan when his birthday is. Stan replies that he was 32 the day before yesterday and next year he’ll be 35. When is his birthday and how is this possible?

Today is Jan 1st and his birthday is on December 31st. He was 32, then turned 33 on Dec 31st, and this year on Dec 31st he’ll turn 34, so next year he’ll be 35.

Posted in Brain Teasers