Every whole number from 1 to 30 is written in the correct place of the diagram (a few are filled in). How many of the numbers lie outside all three circles?

Question

Accepted Answer

8. A number lies outside all circles if it is odd and not a multiple of 3 or 5: 1, 7, 11, 13, 17, 19, 23, 29, that is 8 numbers. Forgetting 1 gives 7; 22 is the count inside the circles.

Every whole number from 1 to 30 is written in the correct place of the diagram (a few are filled in). How many of the numbers lie outside all three circles?

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