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

Canaries in the Cage

I am the owner of a pet store. If I put in one canary per cage, I have one bird too many. If I put in two canaries per cage, I have one cage too many. How many cages and canaries do I have?

Four canaries and three cages.

If you put one canary in each cage, you have an extra bird without a cage. However, if you put two canaries in each cage then you have two canaries in the first cage, two canaries in the second cage and an extra cage.

Posted in Brain Teasers

What Goes Up And Down But Doesn’t Move?

What goes up and down but doesn’t move?

A staircase. They go up and down, but you’re the one moving.

Posted in Riddles

The Quirky Fruit Stand

At a quirky fruit stand, an orange costs 18 cents, a pineapple costs 27 cents and a grape costs 15 cents. Using the same logic, how much does a mango cost?

A mango costs 15 cents. The logic is 3 cents per letter.

Posted in Brain Teasers

Take Off My Clothes, Puts Its On

When I take off my clothes, it puts on its clothes.
When I put on my clothes, it takes off its clothes.

A clothes hanger.

Posted in Riddles

An Abandoned Aquarium

There is an abandoned aquarium in an empty house. The aquarium has three large fish and three small fish. But after a week, one large fish and two small fish die.

How many remain in the aquarium?

Six, since no one is there to remove the 3 dead fish.

Posted in Brain Teasers

O T T F F

What letter comes next?

O T T F F S S

E (one, two, three, four, five, six, seven eight)

Posted in Brain Teasers
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Turn Nine Into Six

Here is the Roman numeral for nine: IX

By adding only one line or symbol, how can you turn it into six?

SIX.

Posted in Brain Teasers

Which Is The Odd Word Out?

Which of the following words is the odd one out?

Chocolate
Biscuit
Lemonade
Jelly
Cake

Lemonade. It’s the only drink in the list.

Posted in Brain Teasers

I’m Located In the Middle of Nowhere

I am located in the middle of nowhere. What am I?

The letter ‘h’. It is the middle letter of the word ‘nowhere’

Posted in Riddles