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

Ted and The Vicious Dog

Ted was lost while driving around the country and saw a house. He parked under a nearby tree and started toward the house. As soon as he got out of his car a huge dog lunged at him from the opposite side of the tree. Fortunately the dog was chained and Ted managed to stay out of reach. Finding no one home at the house, Ted returned to his car, but as he approached the dog lunged at him again. The chain was so long the snarling animal could reach both car doors. How did Ted escape the dog and get back into his car?

Ted moved slowly around the tree keeping just out of the dog’s reach. The animal followed, winding its chain around the tree until it was too short to reach Ted’s car

Posted in Brain Teasers

Two Scruffy Dogs

Two scruffy dogs were walking down the street. The first dog turned to the other and said, “Do you realize that if one of your fleas jumped onto me we would have the same number of fleas?” The second replied, “Yes, but if one of your fleas jumped onto me I would have five times as many fleas as you.” How many fleas are on each dog to begin with?

2 and 4

Posted in Brain Teasers

Least Sleepy Month

In what month do people sleep the least?

February, because there are fewer days.

Posted in Brain Teasers

Kneel In The Kayak

Kneel in the kayak grasping the boat, but don’t wrench the bullion or scowl at the chart. Behind the taped and sealed planter is a benevolent collier. The foxglove is in the bath.

Name the 19 creatures in the above sentence.

1. Eel
2. Yak
3. Asp
4. Boa
5. Wren
6. Bull
7. Lion
8. Cow
9. Owl
10. Hart
11. Hind
12. Ape
13. Seal
14. Ant
15. Vole
16. Collie
17. Fox
18. Ox
19. Bat

Posted in Brain Teasers

Look In My Face

Look in my face and I am someone,
Look in my back I am no one.

What am I?

A mirror. The face of a mirror shows your face, but the back of a mirror shows nothing but dust and cardboard (depending on the type of mirror).

Posted in Riddles
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Brothers And Sisters Of Leopold

If Leopold had one more sister he would have twice as many sisters as brothers.
If he had one more brother he would have the same number of each.

How many brothers and sisters does Leopold have?

Three sisters and two brothers.

Posted in Brain Teasers

Important Rebus

What does this represent?

IMPORTANT = IMPORTANT

Equally important.

Posted in Riddles
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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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Not Many People Understand Me

My first three letters stores things. Not many people understand me. What am I?

Binary. Bin is a storage container and binary just 1s and 0s.

Posted in Riddles
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