Solutions
The logic follows here is:
The angle between the hour hand and the minute hand can be calculated as:
FORMULA :
Angle = | (60H - 11M) / 2 |
Where M = Minutes and H = Hours
Here, the angle formula is in mod value therefore two angles are calculated from it.
One is the main angle and another is the reflex angle which can be calculated by subtracting the main angle from 360°.
Depending on the options we need to choose accordingly.
Calculation :
Given time: 6 : 10
By using the above formula:
Angle = | (60H - 11M) / 2 |
Here, H = 6 and M = 10
Therefore,
Angle = | (60 × 6 - 11 × 10) / 2 |
= | (360 - 110) / 2 |
= | (250)/2 |
= | 125 |
= 125°
The reflex angle can be calculated as;
= 360° - 125° = 235°
Thus, the angle between the hour hand and the minute hand of a clock at 6 :10 is '125°'.
Hence, the correct answer is "125°".