How many pearls

@matrixx (254)
April 24, 2007 7:00am CST
I think last one of this series have been tough, so i am giving an easier one. Let's assume that a King had 7 sons. upon recieving a gift of sack of pearls from neighboring country, king gave it to eldest son. but when the second eldest protested, king decided to distribute the pearls equally between them. when divided, 1 pearl remained undecided. there came the thrid prince and dividing the pearls among three still yielded 1 pearl undecided. same was the case when the pearls were tried to be divided among 4,5 and 6 princes that there still remained one pearl which couldn't be distributed. but when 7th prince came. pearls were perfectly divisible, so king divided them equally among 7 princes. How many pearls were there in the sack?
2 responses
• Sri Lanka
24 Apr 07
This is how I arrived at the answer. Find the numbers that can be divided by 1 to 6. It is 1 x 2 x 3 x 4 x 5 x 6 leaving out the numbers that can divide another number in the group. So we have 60, 120, 180, 240, 300, 360 etc as the series of numbers. Then we can add one and see which of those can be divided by 7. The first result we get is 301.
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@matrixx (254)
25 Apr 07
Great effort josephperera! you got it right too:-)
@kamran12 (5556)
• Pakistan
24 Apr 07
after developing the logic in your first question, it's not difficult now for me:-) . there will be 301 pearls in the sack to satisfy your conditions. am i right!? and please don't ask for explanation as i have already explained it in other post.
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@kamran12 (5556)
• Pakistan
24 Apr 07
thanks for the best response matrixx:-)
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