A) \[90{}^\circ \]
B) \[91.5{}^\circ \]
C) \[97.5{}^\circ \]
D) \[94.5{}^\circ \]
Correct Answer: C
Solution :
Angle traced by hour hand in \[12\,h=360{}^\circ \] Angle traced by hour hand in \[\frac{25}{4}h\] \[={{\left( \frac{360}{12}\times \frac{25}{4} \right)}^{{}^\circ }}=187.5{}^\circ \] Angle traced by minute hand in 60 min \[=360{}^\circ \] Angle traced by it in 15 min \[={{\left( \frac{360}{60}\times 15 \right)}^{\circ }}=90\] Required angle \[=(187.5{}^\circ -90{}^\circ )=97.5{}^\circ \]
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