Question 260146: While traveling, you meet a man with a task for you: " Take a certain amount of diamonds out of this bag of 500. This number, when divided by any natural number 2 through 7, always generates a whole number if you take away 1 diamond before dividing. Bring me this number and they are all yours"
You reach in... and pull out a number of diamonds, but doesnt produce a whole number when you take away one diamond then divide by 4. This number meets the other conditions from the problem.
2pt: How many diamonds do you have to pull to get all the diamonds
2pt: How many diamonds did you pull out?
Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Hints:
Part 1) Simply find the LCM of 2, 3, 4, 5, 6, 7 and add one to that result.
Part 2) In this case, find the LCM of 2, 3, 5, 6, 7 and add one to that result.
Answer by richwmiller(17219)  (Show Source):
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