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Mathematical Olympiad in Senior High School
Solution: 6, 12, 18, ..., 294, * * 49 are divisible by 6, and their sum = 6+12+18+...+294 = (294+6.

In the multiple of 6, it is a multiple of 8, which is actually a common multiple of 6 and 8. Those below 300 are: 24, 48, 72, ..., 288, * *12. Their sum = 24+48+72+...+288 = (24+288) x12/2 =/.

Therefore, in a positive integer less than 300, the sum of numbers divisible by 6 but not by 8 =7350- 1872=5478.