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Once upon a time there was a man who sold eggs for his livelyhood. One day he was going to sell those eggs and suddenly collide to a drunkardand all eggs were smashed.So he complaint to head of village and he asked him how many eggs were there.In response man replied,"I never count them but i know that when eggs were grouped in pairs 1 egg left behind. Simlarly for triplets ,2 were left behind and for four ,3 were left behind.For five,4 were left behind and for six ,5 were left behind. But when grouped in seven ,no egg is left behind. Also my egg basket cannot hold more than 150 eggs." So can you help him finding the number of eggs?

 Jul 4, 2020
 #1
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No I can't help him find the number of eggs. He needs to do it himself.

 Jul 4, 2020
 #2
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it is an odd number   because dividing by 2   leaves 1

  it is a multiple of 3   + 2

 

and an even multiple of 7            7   14   21   28   35    42    49    56    63    70   77    84   91   98    105    112    119   126   133   140  147  

 

 

     so for the above rules I have written so far     35   77   119      fit the bill so far

                      divide by 4 to find which leaves 3 remainder :   119

 Jul 4, 2020

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