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When 2007 bars of soap are packed into N boxes of equal size, where N is an integer strictly between 200 and 300, there are 5 bars remaining.  Find N.

 Nov 22, 2019
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a=1; b=2007;c= b% a; if( c==5, goto4, goto5);printa," ",; a++;if(a<1000, goto2, 0)

 

Solutions =7  11  13  14  22  26  77  91  143  154  182  286  

 

All above solutions leave a remainder of 5, but only one is between 200 and 300.

 

Therefore, the answer =286 Boxes.

 Nov 22, 2019

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