BEAVER 2023

Bike Paths (e)

Cleveria is a beaver biker. She explores the one-way paths that pass through the villages in her district. Ecah village has a vilaage stone labeled with a single letter. All the path have a distance and a direction. The distance and direction are shown on the yellow flags.

Over the course of many different trips, Cleveria leaves notes with a number on a paper placed under a stone in each village. The note represent the distance from village A to other village

Question:

What is the meaning the numbers she has left under the stones?

• the shortest distance form village A to this village through the least number of villages

• the shortest distance from village A to this village

• the shortest distance from village A to this village by taking a left turn at crossing if possible

• the shortest distance from village A to this village by taking a right turn at crossing if possible

BIRTHDAY CAKE (h)

Beaver Beatrix is throwing a birthday party and wants to buy a birthday cake. The cake shop has eight kinds of cake from which she can choose. Beatrix knows that there is one kind of cake which of the eight cakes it is.

Exactly 24 hours after eating some of this particular cake, beavers get red spots all over their bodies!

Naturally Beatrix will not buy this kind of cake for the birthday party but only has 24 hours to figure out which of the eight cake cause the allergy. Luckily some of her best friends have offered to taste the cakes

Question:

What is the minimum number of friends that Beatrix needs to ask to taste the cakes in order to definitely find out, in 24 hours, which type of cake the beavers are allergic to?

• 3

• 4

• 6

• 8

SELFISH SQUIRRELS (h)

16 squirrels live in a tree with five big holes one above the other. Each day all of the squirrels find out how many squirrels are in their hole and neighboring holes above and below it.

The next night, each squirrels secretly either stays where there are or moves to a hole above or below it, whichever currently has the lowest number of squirrels. If they are the same, the squirrels prefer their current hole to the hole above. They also prefer a high hole to a low hole.

Example:

Today there are 5, 0, 0, 4 and 7 squirrels in the holes from top to bottom as shown below. Tomorrow all 5 squirrels in the top hole will move to the hole below ( 0 neighbors is better than 4). The 7 squirrels from the bottom will move up ( 4 neighbors is better than 6) and the 4 squirrels from the hole next to the bottom will go up ( 0 neighbors is better than 3)

Question:

Here is a different situation that squirrels find themselves in 6,3,3,0,4

After how many days will all the squirrels end up together in the same hole?

• 2

• 3

• 4

• Never

SECRET MESSAGES (e)

Agents Boris and Bertha communicate using secret messages.

Boris wants to send Bertha the secret message:

MEETBILLIBEAVERET6

He writes each character in a 4 column grid from left to right and row by row starting form the top. He puts an X in an unused spaces. The result is shown in picture (on the left)

Then he creates the secret message by reading the characters from top to bottom and column by column starting from the left:

MBYVTEIBE6ELERXTLAAX

Bertha then uses the same method to reply to Boris. The secret message she send him is:

OIERKLTEILH!WBEX

Question:

What message does Bertha send back?

• OKWHERETOMEET!

• OKIWILLBETHERE!

• WILLYOUBETHERETOO?

• OKIWILLMEETHIM!

RECURSIVE PAINTING (m)

Ingrid and her friends have volunteered to help paint a floor that is 16m long by 16m wide. The instructions are printed on numbered sheets that refer to the other sheets by their number. Each sheet has a scale printed at the bottom.

The planning sheet refers to itself and both sheets have the same number. Ingrid's friend asks how this can be and she answers: " We can do it. The second sheet is important because it tells us when to stop."

Question:

What does the painted result look like?

• 
• 
• 
• 

MAGIC POTIONS (e)

Betaro Beaver has discovered five new magic potions:

*one makes ears longer

*another makes teeth longer

*another makes whiskers curly

*another turns the nose white

*the last one turns eyes white

Betaro puts each magic potion into separate beaker. He puts pure water into another beaker, so there are six beakers in total. The beakers are labeled A to F. The problem is, he forgot to record which beaker contains which magic potion!

To find out which potion is in each beaker, Betaro set up the following experiments:

Experiment 1: A beaver drinks from beakers A, B and C together - the effects are shown figure 1

Experiment 2: A beaver drinks from beakers A, D and E together - the effects are shown in figure 2

Experiment 3: A beaver drinks from beakers C, D and F together - the effects are shown figure 3

Question:

Which beaker contains pure water?

• A

• B

• C

• D

• E

FLIPPING PANCAKES (h)

Beaver Bart bakes a stack of six pancakes. Amazingly, they all have different diameters. With a spatula, Bart can turn a part of the stack or the entire stack upside down.

in the picture, you can see another stack of pancakes that you can fully or partially turn over by clicking the bottom pancake of the part of the stack you want to turn.

Question:

What is the minimum number of flips needed to arrange the stack of pancakes so that they are in order, from largest at the bottom to smallest at the top?

• 4

• 5

• 6

• 7

FIND THE THEIF(m)

Oh no! The famous Blue Diamond was stolen from the museum today: a thief has swapped it for a cheap imitation with a green color.

Facts:

There were 2000 people who visited the diamond room today. They entered one by one. Inspector Bebro must find the thief by interrogating some of these visitors. He has a list of all 2000 visitors in the order they enters the room. He will ask each person the same question: "Was the diamond green or blue when you saw it?"

Each person will answer truthfully, except fot the theif, who will say the diamond was already green.

Question:

Inspector Bebro is very clever and will use a strategy where the number of people interviewed is as small as possible. Which of the following statements can he make without lying?

• I can gurantee that i will find the thief by interrogating fewer than 20 people.

• Interrogating 20 people will not be enough (unless I am lucky) but I can certainly do the job by interrogating fewer than 200.

• This is going to be difficult job: I will need to interrogate at least 200 people, but possibly as many as 1999.

• I cannot promise anything. If I am very unlucky I might need to interrogate every single visitor.

DRAWING STARS

Stella the beaver loves to draw stars. She has devised a system for labelling her stars according to their shape. She uses two numbers:

-          A number of dots for the star.

-          A number indicating if a line from a dot is drawn to the nearest dot (the number is 1), the second closest dot (the number is 2), etc.

Question:

How would Stella label the following star?

• 9:3

• 9:4

• 10:4

• 10:5

E-MAIL SCAM (e)

Edgar is looking for a new home to live in.

He searched the internet and found a perfect apartment for a very good price.

He has sent an e-mail to Francis, who is selling the apartment, and received a quick reply:

 

Hi,

Thank you for your interest in my aparment.

Although I am not in town, I can send you the key to the apartment so you can inspect it, but I need a security deposit of $5,-000, - beforehand. To show my trustworthiness, I attach a copy of my identity card.

Cheers,

Francis

 

Edgar is unsure what to do and is asking for your help.

 Question:

What would be your best advice?

• Pay the deposit. With the ID you can always go to the police if you don’t get the deposit back.

• That is perfect. If you like the flat, you can keep the key right away.

• Don’t pay the deposit, there is a high chance that this is a mail fraud.

• Pay the deposit, go and have a look and decide later on.