The correct answer is $1+2+3+4+\ldots+11=66$, since there is no qualifying minute value between $0-1$ o'clock, there is 1 such minute between 1-2 o'clock, which is 1:01, and so on. We also accepted 67 as the correct answer if the solver noted that they included the boundaries. Indeed, according to the problem statement, only the number of minutes occurring within the interval is asked for.
In a 12-hour interval (from $0^{\mathrm{h}}$ to $12^{\mathrm{h}}$), how many minutes are there when the value of the hours is greater than the value of the minutes?