The only lockers that remain open are perfect squares (1, 4, 9, 16, etc) because they are the only numbers divisible by an odd number of whole numbers; every factor other than the number's square root is paired up with another. Thus, these lockers will be "changed" an odd number of times, which means they will be left open. All the other numbers are divisible by an even number of factors and will consequently end up closed.
So the number of open lockers is the number of perfect squares less than or equal to one thousand. These numbers are one squared, two squared, three squared, four squared, and so on, up to thirty one squared. (Thirty two squared is greater than one thousand, and therefore out of range.) So the answer is thirty one.
So the number of open lockers is the number of perfect squares less than or equal to one thousand. These numbers are one squared, two squared, three squared, four squared, and so on, up to thirty one squared. (Thirty two squared is greater than one thousand, and therefore out of range.) So the answer is thirty one.
The 2 men carry a total of 24 days food, 12 days food each.
After 3 days, one of the men gives 6 days food to the other, and returns home with the 3 days food he has left.
The second man now has 15 days food left to travel 6 days to his destination, and 9 days food for the return journey.
The first student opens all the lockers. All the lockers are open
The second student goes up to the second locker and closes it. All the lockers are open except the second one.
The third student goes up to the third locker and then closes it, (as it was still open from when the first student opened it)
This carries on until the thousandth student closes the thousandth locker, leaving the first one still open.
If you have a thousand of something, only one of them is the second. Only one of them is the third. etc etc
The second student goes up to the second locker and closes it. All the lockers are open except the second one.
The third student goes up to the third locker and then closes it, (as it was still open from when the first student opened it)
This carries on until the thousandth student closes the thousandth locker, leaving the first one still open.
If you have a thousand of something, only one of them is the second. Only one of them is the third. etc etc
J
Johnmelad502
So a man can carry unlimited amounts of food then??? so in that case why did the other bloke even bother travelling for 3 days. He could have just handed over his rations at the start.
Errrrmmm No, he can carry food for 12 days only.....
Errrmmmm, because 1 man with 12 days food can't travel for 18 days.
An empty bus(apart from the driver of course 
) drives out of the depot, at the first stop two people get on,
at the second stop five people get on one gets off
at the third stop 3 get off and four get on
at the fifth stop no one gets off 2 get on
at the final sixth stop no one gets on or off
the bus drives back to the depot when examined there is not a single person on board, how?
) drives out of the depot, at the first stop two people get on,at the second stop five people get on one gets off
at the third stop 3 get off and four get on
at the fifth stop no one gets off 2 get on
at the final sixth stop no one gets on or off
the bus drives back to the depot when examined there is not a single person on board, how?
But he doesn't carry the 15 days' worth, he leaves the balance of what he doesn't need to complete the journey and return behind, to be picked up when he comes back
How bigs the barrel?
the train is 15 minutes late for starters
J
Johnmelad502
Easy, 1 hour and 15 secons, I know beacause I had to train him
D
