A) \[180{}^\circ \]
B) \[192\frac{1}{2}{}^\circ \]
C) \[195{}^\circ \]
D) \[197\frac{1}{2}{}^\circ \]
E) None of these
Correct Answer: D
Solution :
Explanation Option (d) is correct. Angle traced by hour hand In \[\frac{125}{12}\,\,\,hrs\,\,\,=\,\left( \frac{360}{12}\times \frac{125}{12} \right){}^\circ \,\,=\,\,312\frac{1}{2}{}^\circ \] Angle traced by minute hand in 25 min \[=\,\,\,\left( \frac{360}{12}\times 25 \right){}^\circ \,\,=\,\,150{}^\circ \] Angle between minute and hour hand of clock at \[10:25\text{ }=\,\,\,-\left( 312\frac{1}{2}-150 \right){}^\circ =162\frac{1}{2}{}^\circ \] \[\therefore \,\,\,Reflex\text{ }angle\text{ }=\text{ }360{}^\circ -162\frac{1}{2}{}^\circ =197\frac{1}{2}\]
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