How many multiple of 3 and 5 between 250 and 300, inclusive

Due wrote:How many multiple of 3 and 5 between 250 and 300, inclusive

26,27,28,29?

Unfortunately, that question seems to be unclear anyhow if the question was

"How many multiples of 3 or 5 exists between 250 and 300"


there are 17 multiples of 3 , there are 11 multiples of 50 and there are 4 multiples of 15

so total no of distinct numbers is : 17+11 -4 =24 which is not in the list

The question doesnt say distinct -in which case, the answer would be 28 - which is in the list.
On a seperate note, the way you would solve this to use the following formula.

no of consecutive terms = last term - first term/difference between each term(constant)

eg:No of multiples of 3 -

300-250/3 + 1 =17.
Note that the you count only the closest integer when you divide (300-250) by 3 and avoid the remainder.

You would use a similar approach for muliples of 5 and add both.
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