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Archive for September, 2010

Compass Correlation

Posted by Random Guy under Tom (17 Responds)

You have two pairs of compasses. One is set to length A, and the other is set to length B. The compasses cannot be adjusted. How do you determine the ratio of length A to length B using only a straight edge and a pencil?

Impossible Cipher

Posted by rajesh under Tom (10 Responds)

Here is one for some of you to try.

Another Series to Complete…

Posted by Karl Sharman under Tom (4 Responds)

2D
2D3A
2D3A
3D1A
2D3A
3D3A
2D1A
4D3A
3D3A
6D2A
Want to tell me the next few number/letter combos in the sequence?

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Loaded Dice

Posted by Karl Sharman under Tom (5 Responds)

You have a single six sided die with one integer on each side. The integers are random positive numbers and do not repeat.
When the die is rolled, it is placed against a wall, which means 4 sides are visible, the front, the top and the two sides, and the bottom and back are hidden from [...]

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A Weekend of Questions in 1 Post – Go Wild ;-)

Posted by Karl Sharman under Tom (15 Responds)

1. The answer to this question is almost in the question itself! You have a ham sandwich with melted cheese on toast. With a single, perfect slice traveling along a two-dimensional plane, is it always possible to divide the sandwich so that the two halves have equal parts ham, cheese and toast? You may not assume [...]

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Laying a Cable…

Posted by Karl Sharman under Tom (27 Responds)

You are an internet technician. You have a job to do where the cabling has already been laid, so you head to the site expecting an easy job. Unfortunately, it seems this network cable runs underwater from one island to another nearby island. The second problem is that the cable consists of ten individually shielded [...]

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Dancing on Ice

Posted by Karl Sharman under Tom (26 Responds)

Two skaters start skating at the same time from the same point.
Eketahuna skates at 5m/s, and prescribes an exact square, 25 meters by 25 meters. He starts travelling north.
Chris starts skating south at 6m/s, prescribing a rectangle with sides 40 meters by 25 meters.
The two skaters skating in rectangles have one 25m side (the [...]

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Black or White 2

Posted by Chris under MathsChallenge (7 Responds)

The following problem was suggested by slavy.
Consider a similar situation to the recently posted “Black or White”, but let us have N captured men tied to stakes, so that the first one can see all the others, the second one can see all the others, but the first one and so on. The last one [...]

Monty Hall – Bigger, Better, Badder!

Posted by Karl Sharman under Tom (14 Responds)

This game is an extension of the old Monty Hall game.
There are four boxes on the stage, each with a stack of brand new £10 notes inside. Before the game starts, you don’t know how much money is in each, or even what the range of values is. You do know that no two boxes [...]

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Chris can’t swim

Posted by Knightmare under Tom (13 Responds)

Chris posted his “Black or White” problem and laughed his evil laugh,thinking it would stump everyone and keep them guessing for days.His plan is foiled when BearSprite gives the right answer after a whole hour and 11 min.
Chris (angry and wanting payback) is chasing Bear thru the woods but can’t catch him as they both [...]

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