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

Counting Your Presents

According the song “The Twelve Days of Christmas”, how many total gifts were received?

364. Here’s the explanation.

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Six Faces But No Arms

I have six faces but no arms, and twenty one eyes but I can’t see.

What am I?

A die. There six sides (or faces) and twenty one pips.

Posted in Riddles
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A Problem In Many People’s Lives

I am a problem in many people’s lives. At times (even more than once) I’m useful. The older I grow, the less useful I become. Who am I?

Credit or debt. Debt is a problem in many people’s lives, but in order to go to school or make a large purchase, it can be useful. As your debt grows older, it’s more unpleasant than useful.

Posted in Riddles

I Always Tell the Truth

You see me quite often,
But don’t really care.
If you pass by me,
You’ll often stop and stare.

I can’t speak or see,
But don’t think me uncouth,
Because no matter what,
I always tell the truth.

What am I?

A mirror.

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A Sunday Morning Murder

A man was killed on Sunday morning. His wife found the body and called the police. The police arrived and questioned the chef, maid, butler, and gardener. Their alibis were:

Chef – making breakfast
Maid – getting mail
Butler – setting table
Gardener – watering plants

The police immediately arrested the criminal. Who was it and how did they know?

The maid. Mail isn’t delivered on Sunday.

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XQQQME

What is this phrase? XQQQME

Excuse me. Literally, x + q’s + me.

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Captain Mark

Captain Mark is the captain of the ship. The captain of the ship is Captain Mark. The ship has plenty of space.

What is the name of the ship?

The Space Shuttle Endeavour, captained by Mark Kelly.

I received this by email from someone who didn’t know the answer. Thanks to Devon for helping with this answer.

Posted in Riddles

Two Days After

What is two days after the day after the day before yesterday?

Tomorrow.

The day before yesterday is two days ago.

The day after the day before yesterday (2 days ago) is yesterday.

And two days after yesterday is tomorrow.

Posted in Brain Teasers

Going the Wrong Way on a One-Way Street

Noreen doesn’t have a driver’s license and goes the wrong way on a one-way street, then turns left at a corner with a “No left turns” sign. A policeman sees her but does nothing. Why?

She was walking.

Posted in Brain Teasers