Question 277968
How many integers between 1 and 101 are multiples of either 3 or 5 but multiples of both?
<pre>
You must have botched the problem, because to be both a multiple of 3
and 5, it must be divisible by 5*3 or 15.  There are only 6 of these
between 1 and 101 

1. 15
2. 30
3. 45
4. 60
5. 75
6. 90

I thought maybe you had left out NOT, making the problem

How many integers between 1 and 101 are multiples of either 3 or 5 but NOT multiples of both?

However, that turns out to be 41, and that's not listed either.


1. 3
2. 5
3. 6
4. 9
5. 10
6. 12
7. 18
8. 20
9. 21
10. 24
11. 25
12. 27
13. 33
14. 35
15. 36
16. 39
17. 40
18. 42
19. 48
20. 50
21. 51
22. 54
23. 55
24. 57
25. 63
26. 65
27. 66
28. 69
29. 70
30. 72
31. 78
32. 80
33. 81
34. 84
35. 85
36. 87
37. 93
38. 95
39. 96
40. 99
41. 100

Re-post and this time be very careful to type exactly
what you are asked to find.

Edwin</pre>