The answer to the question is that the watch gained 120 minutes in a day. Explanation: The watch's hands meet every hour, which means that instead of the usual 12 meetings in 12 hours for a normal watch, it meets every hour on the planet Naeem. On Earth, in 12 hours, there are 11 such meetings (at 0, 1, 2, ... 10, 11). Thus, on Earth, the minute hand traverses 360° – so every hour is equal to 30° gained over one hour of the clock face. On planet Naeem, however, to meet every hour means the minute hand must traverse a full 360° in every hour. Therefore, for the hands to meet, the minute hand effectively gains more relative angular speed compared to the Earth. Calculating this: 1. The minute hand on Earth moves at 6° per minute and takes 60 minutes to traverse 360°. 2. On Naeem, the watch gains 30° extra every hour (due to moving from 360° back to 0°), which translates into: \[ \text{Gains in 60 minutes} = 30° \] \[ \text{Total gains in one day (24 hours)} = 24 \times 30 = 720° \] This corresponds to: \[ \text{Total minutes gained} = \frac{720°}{6° \text{ per minute}} = 120 \text{ minutes} \] Thus, the watch gained 120 minutes in an Earth day, leading to option b) being the correct answer .