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For how many integer values of n between 1 and 1000 inclusive does the decimal representation of n/1375 + n/3 terminate?

 Jul 30, 2021
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For how many integer values of n between 1 and 1000 inclusive does the decimal representation of n/1375 + n/3 terminate?

 

n ==33 , 66 , 99 , 132 , 165 , 198 , 231 , 264 , 297 , 330 , 363 , 396 , 429 , 462 , 495 , 528 , 561 , 594 , 627 , 660 , 693 , 726 , 759 , 792 , 825 , 858 , 891 , 924 , 957 , 990 , Total =  30 such values of n.

 

Note: They are ALL multiples of 33

 Jul 30, 2021

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