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How many minimum diamonds they steal?

+1 vote

There are seven thieves, They steal diamonds from a diamond merchant and run away in jungle. While running, night sets in and they decide to rest in the jungle When everybody’s sleeping, two of the best friends get up and decide to distribute the diamonds among themselves and run away. So they start distributing but find that one diamond was extra. So they decide to wake up 3rd one and divide the diamonds again …..only to their surprise they still find one diamond extra. So they decide to wake up fourth one. Again one diamond is spare. 5th woken up……still one extra. 6th still one extra. Now they wake up 7th and diamonds are distributed equally.

How many minimum diamonds they steal?

posted May 1, 2014 by Mishthy Mukherjee

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1 Answer

+1 vote

The number of diamonds should be divisible by 7 , and should leave remainder 1, when divided by 2,3,4,5,6.
LCM of 2,3,4,5,6= 60
=> the number can be written as 60k+1 which is divisible by 7
=> By trial and error we get n=5, therefore the number is 301

answer May 2, 2014 by Priyaa Trippayar Sahasranaman

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