Painting a Bigger Room

A painter needed 3 days to paint a room. How long would it take him, working at the same rate, to paint a room twice as large (twice the width and twice the height)?

12 days because the walls would be four times as big as the first room.

If the walls are 10 ft x 10 ft, then each wall has 100 square feet. Adding the four walls makes 400 square feet to paint. Doubling the width and height of the walls to 20 ft x 20 ft means each wall is now 400 square feet, for a total of 1600 square feet to paint. 1600 ft is four times 400 square feet, thus if it took him 3 days to paint 400 square feet, it will take 12 days (or four times as much) to paint 1600 square feet.

Posted in Brain Teasers

A Corny Question

A merchant has 21 sacks of grain: 7 full, 7 half-full and 7 empty. He wants to divide them equally among his three sons. How can he do this, without transferring any grain between sacks, so each son has the same quantity of grain and number of sacks?

We know each son must end up with 7 sacks and 3.5 sacks of grain, since (7 sacks + 7 half sacks) / 3 = 3.5 sacks each.
There are two solutions.

Solution 1
Son 1: 3 full, 1 half-full and 3 empty.
Son 2: 3 full, 1 half-full and 3 empty.
Son 3: 1 full, 5 half-full and 1 empty.

Solution 2
Son 1: 2 full, 3 half-full and 2 empty.
Son 2: 2 full, 3 half-full and 2 empty.
Son 3: 3 full, 1 half-full and 3 empty.

Posted in Brain Teasers

A Fruity Series

What is the next letter in this fruity series?

a a a p p ?

Y.

The series consists of the letters of papaya in alphabetical order.

Posted in Brain Teasers

5 25 325 4325

Given

1 = 5
2 = 25
3 = 325
4 = 4325

What does 5 equal?

54325. Rather than being a mathematical solution, the answer is derived by prepending (putting in front of) the value on the left side of the equation with the previous answer. So for 3 you take 25, the previous answer, and put 3 in front, giving you 325. Then you put 4 in front to get 4325 and lastly, put 5 in front to get 54325.

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I Always Send You In The Right Direction

I always send you in the right direction,
I’m arrayed in black and white,
Ignore me and lose my protection,
No more than two words are in sight.

What am I?

one-way

A one way street sign. It tells you the correct way to go, is black and white (in the United States), going the wrong way can get you a citation and the sign only has two words on it.

Posted in Riddles

Speaks Without Words

What is it that speaks without any words?
And can be loudly and distinctly heard?
Will drive away friend, and foe alike.
And is enough to make a stolid man’s face alight?

Flatulence.

Posted in Riddles

Ten Men and Women

TEN = 20, 5, 14
MEN = 13, 5, 14

What do WOMEN equal using the same logic?

WOMEN = 23, 15, 13, 5, 14

The number is the letter’s position in the alphabet.

Posted in Brain Teasers

$63 Exactly

A man owed his friend $63 and repaid him the exact amount in cash without using coins or $1 bills (no online transfers, checks, credit cards or any other tricks) and without requiring change. How did he do it?

A $50 bill, a $5 bill and four $2 bills.

Posted in Brain Teasers

A NA A SA A

A NA A SA A A

What comes next in the series?

E. Each item is the first letter(s) of one of the seven continents:

1. Asia
2. North America
3. Africa
4. South America
5. Australia
6. Antarctica
7. Europe

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A Duck

There are two ducks in front of a duck, two ducks behind a duck and a duck in the middle. How many ducks are there in total?

Three. They’re all in a row, so ducks 1 and 2 are in front of duck 3, ducks 2 and 3 are behind duck 1 and duck 2 is in the middle.

Posted in Brain Teasers