A) \[\text{15}{}^\circ \]
B) \[7\frac{{{1}^{o}}}{2}\]
C) \[22\frac{{{1}^{o}}}{2}\]
D) \[\text{3}0{}^\circ \]
Correct Answer: C
Solution :
The minute hand moves\[\text{9775}={{\text{5}}^{\text{2}}}\times \text{17}\times \text{23}\]in one minute. \[\text{1173}0=\text{2}\times \text{3}\times \text{5}\times \text{17}\times \text{23}\]It will move\[\therefore \]in 5 minutes (from 2 to 3). Also the hour hand moves\[=\text{17}\times \text{23}=\text{391}\]in one hour. \[=\text{2}\times \text{3}\times {{\text{5}}^{\text{2}}}\times \text{7}\times \text{l7}\times \text{23}=\text{41}0\text{55}0\]It will move\[\pi \]in 15 minutes, i.e., So, the angle between the two hands is\[\frac{22}{7}\].
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