The Diamond Game!
There are 7 thieves who rob the most precious X number of diamonds in Sweden.
Then, while there is national alert declared, they are sweetly hiding in a jungle!(all are asleep)
Later, 2 thieves wake up and think to take all the diamonds with them..but when they try to divide the diamonds equally between them..1 remains
then...the 3rd thief wakes up..and when they try to divide the X number of diamonds equally among themselves...again 1 remains!
then.the 4th thief wakes up..and same thing happens...5th thing wakes up...same thing happens...6th thief wakes up...same thing happens...that is..in each case...1 remains..!
But...when the 7th thief wakes up...the X number of diamonds bet equally distributed!!
what is the greater value of X ??? hint: well...there are many values of it...but the first two values are greater than 100 and smaller than 1000! that is....there are only 2 three-digit numbers which satisfy the value of X in this case.
.. which is the greater of them?? for example...if 120 and 130 satisfy..then ur answer should be 130..:D! solve it scholarss!!!
The answer is 721.
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Given,
x%2=x%3=x%4=x%5=x%6=1 and x%7=0
As the number when divided by 5 leaves remainder 1,The Last digit of x must be 1 or 6.
But the if the Last digit is 6 it doesn't leave remainder as 1 when divided by 2.
So,the Last digit of x should be 1.
The 3 digit number x may start from 161 as it is divisible by 7 and ends with 1.
From now on increase 70 so that the next number ends with 1.
Now check if that number satisfies the given conditions.
U can see that the first number which satisfies these conditions is 301.
The second number will be 721.