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From 100 to 200, how many numbers are divided by 5 but not by 5 and 7?

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1 Answer

18. 
Between 100 and 200, only 105, 140, and 175 are divisible by 5 and 7. 

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Basically this boils down to the first common multiple of 5 and 7 being 35, so we're eliminating multiples of 35 from between 100 and 200. Every other multiple of 5 passes the test. 
 
Hope that helps, 
Will

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