1. ## Eggs Is Eggs

1#
A farmer took a certain number of eggs to the market and sold some of them.

The next day, through the industry of his hens, the number left over had been doubled, and hesold the same number as the previous day.

On the third day the new remainder was tripled, and he sold the same number as before.

On the fourth day the remainder was quadrupled, and he sells the same as before.

On the fifth day what had been left over were quintupled, yet he sold exactly the same as on all the previous occasions and so disposed of his entire stock.

What is the smallest number of eggs hecould have taken to market the first day, and how many did he sell daily? Note that the answer is not zero.

2#
A drinks machine offers three selections - Tea, Coffee or Random (Either tea or Coffee) but the machine has been wired up wrongly so that each button does not give what it claims.

If each drink costs 50p, how much minimum money do you have to put into the machine to work out which button gives which selection?

3#
Somebody marked the six faces of a die with the numbers 1, 2 and 3 - each number twice. The die was put on a table. Four people - Alf, Bill, Carl and Dave- sat around the table so that each one was able to see only three sides of the die at a glance.

* Alf sees the number 1 and two even numbers.
* Bill and Carl can see three different numbers each.
* Dave sees number 2 twice and he can't remember the third number.

What number is face down on the table?

2. ## Re: Eggs Is Eggs

3# <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">The bottom has 3.</span hide>

Spot on!

4. ## Re: Eggs Is Eggs

2 <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">50p - Select random, it only gives 1 type of drink. If it gives tea then the button marked coffee must be the random choice as we already know it can not give only coffee. This tells us that the button labelled as tea gives coffee. You can use a similar argument if the button marked random produces coffee</span hide>

5. ## Re: Eggs Is Eggs

<P ID="edit" class=small>(Edited by Jezza on 30-Jul-05 22:49. Cos I got it wrong)</P><span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold"> 3) 1</span hide> OOPs I'm not then

6. ## Re: Eggs Is Eggs

Have a beverage on me, Tony. Your choice!

8. ## Re: Eggs Is Eggs

<table border=1><td align=center><span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Alf</span hide></td><td align=center><span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Side:
1</span hide></td><td align=center><span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Bill</span hide></td><td align=center><span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Side:
2</span hide></td><td align=center><span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Top:
2</span hide></td><td align=center><span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Side:
3</span hide></td><td align=center><span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Dave</span hide></td><td align=center><span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Side:
1</span hide></td><td align=center><span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Carl</span hide></td></table>

9. ## Re: Eggs Is Eggs

1# <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">103 eggs initially, and 60 eggs sold daily (or a multiple of each)</span hide>