Question 3
How many moments in a day (from 00:00 to 23:59) will the hour and the minute hands of an analog clock (12 hours system) form an angle of $15k$ degrees, where $k$ is an integer so that $0\le k<24$? (The diagram shown is one moment at 04:30, having an angle of $15^\circ\times3=45^\circ$)
