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

I Cover What Is Real And Hide What Is True

I cover what is real and hide what is true,
But sometimes I bring out the courage in you.

What am I?

A mask. It makes people look different, but can make you feel more powerful than you normally do.

Makeup also works.

Posted in Riddles

Three Eyes But One Leg

I have three eyes but only one leg.
I still close one even if you beg.

What am I?

A traffic light. It has three “eyes” (the red, orange and green lights) and the leg is the pole holding it up. Many people beg the light to stay green as they’re approaching.

Posted in Riddles

A Creature, Part Man

This creature, part man and part tree,
hates the termite as much as the flea.
His tracks do not match,
and his limbs may detach,
but he’s not a strange creature to see.

What is it?

A man with a wooden leg.

Posted in Riddles

Fill in the Blank and Discover the Event

Fill in the missing words to make a phrase with both the left and right hand sides. For instance, if you were given GRAPE __________ FLY, the missing word could be FRUIT, making GRAPEFRUIT and FRUIT FLY.

1. TOP __________ AGENT
2. PROXY __________ OF NO CONFIDENCE
3. SECOND-HAND __________ DETECTOR
4. THE SACK OF __________ APPLE
5. ST. LOUIS __________ SIN

Once you have the words, what event does it represent?

1. SECRET
2. VOTE
3. SMOKE
4. ROME
5. CARDINAL

The event is a Papal conclave, when a new Pope is chosen.

Posted in Brain Teasers

A Trail of Silver

If you carried my burden, you would be crushed.
Though not rich, I leave a trail of silver.

What am I?

A snail. They carry their homes on their back, and a house would crush a person (even the tiny houses). And the trail of silver is a bit of a stretch, but it’s the slimy, gooey substance snails leave behind them.

Posted in Riddles
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Falls But Never Breaks

What falls but never breaks and breaks but never falls?

Night and day.

Posted in Riddles

Soldiers Line Up Spaced With Pride

Soldiers line up, spaced with pride,
Two long rows lined side by side,
One sole unit can decide,
If the rows will unite or divide.

What am I?

A zipper.

Posted in Riddles
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In the Sky But Also the Ground

I am in the sky but also in the ground. When you study me, no matter how long, I will always end with an f. I may be in your yard but not in your house. What am I?

A leaf.

Posted in Riddles

Eat Flush To

Eat flush to my nose tree times for they buy dead by too. What is the answer?

Eat (8) flush (plus) to (2) my nose (minus) tree (3) times (times) for (4) they buy dead by (divided by) too (2).

There are two answers depending on whether you calculate as you read or calculate the entire solution at the end.
8 + 2 = 10, – 3 = 7, x 4 = 28, / 2 = 14
or
8 + 2 – 3 x 4 / 2 = 10 – 6 = 4

Posted in Brain Teasers