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How many integers between 1 and 1200 are NOT multiples of any of the numbers 2, 3 or 5?

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Clubs

Age 11 to 14 Short Challenge Level:

At Kaynem Daly High School, the Maths Club has 15 members and the Science Club has 12.

If a total of 13 students belong to only one of the two clubs, how many belong to both clubs?


This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.