peewee wrote:when they all get together in the courtyard they just ask each other if they have all been in the room or not, if some say they havent been in then thats the answer, if they all say they have been in then thats the answer
s@int wrote:xy - y = x5 - y4 - y3 = 20; x>0, y>0. thats my mathematical solution anyway
The prisoners should decide that whoever is the first prisoner to enter the room after their huddle is the leader (as 'elected' by the guards).
He turns on the light, and is the only person allowed to turn on the light.
Each and every other prisoner turns off the light if and only if the light is already on and if they have not already done so.
When the leader turns on the light for the 100th time (this includes the first one), time to be free! Of course, as the leader has to return to the room 100 times, it could take over 27 years...
the only problem with my solution is it would take 27 years
dawson99 wrote:peewee wrote:when they all get together in the courtyard they just ask each other if they have all been in the room or not, if some say they havent been in then thats the answer, if they all say they have been in then thats the answer
no, the point is that they have to meet in the courtyard before they start going in the room.
s@int wrote:Wheres Dward when you need him ?
stmichael wrote:Today's batch is a maths lesson:![]()
A teacher says: I'm thinking of two natural numbers bigger than 1. Try to guess what they are.
The first student knows their product and the other one knows their sum.
First: I do not know the sum.
Second: I knew that. The sum is less than 14.
First: I knew that. However, now I know the numbers.
Second: And so do I.
What were the numbers?
The day before yesterday I was 25 and the next year I will be 28. (This is true only one day in a year.) When was I born?
What mathematical symbol can be put between 5 and 9, to get a number bigger than 5 and smaller than 9?
Can you use all 9 numerals - 1, 2, 3, 4, 5, 6, 7, 8 a 9 - above and below a fraction symbol in a random order, to create a fraction equalling 1/3 (one third)?
What 5-digit number has the following features? If we put numeral 1 at the beginning, we get a number three times smaller, than if we gave the numeral 1 behind this number.
In the following "equation" 101 - 102 = 1 move one numeral, in order to rectify it.
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