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 \[25\text{ }min\,\,=\,\,\left( \frac{360}{12}\times 25 \right)\,\,=\,\,150{}^\circ \,\,\] Angle between minute and hour hand of clock at \[10:25= -{{\left( 312\frac{1}{2}-150 \right)}^{{}^\circ }}\,\,=\,\,162\,\,{{\frac{1}{2}}^{{}^\circ }}\] \[\therefore \,\,\, Reflex angle = 360{}^\circ - 162{{\frac{1}{2}}^{{}^\circ }}\,\,=\,\,197\,\frac{1}{2}\]
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