A) \[{{45}^{\text{o}}}\]
B) \[37{{\frac{1}{2}}^{\text{o}}}\]
C) \[47{{\frac{1}{2}}^{\text{o}}}\]
D) \[{{46}^{\text{o}}}\]
Correct Answer: C
Solution :
Angle traced by the hour hand in 12 hours = \[360{}^\circ \] Angle traced by it in 3 hrs 25 min. i.e., \[\frac{41}{12}\text{hrs}\] \[={{\left( \frac{360}{12}\times \frac{41}{12} \right)}^{\text{o}}}=102{{\frac{1}{2}}^{\text{o}}}\] Angle traced by it in 25 min. \[={{\left( \frac{360}{60}\times 25 \right)}^{\text{o}}}\,={{150}^{\text{o}}}\] Required angle \[=\left( {{150}^{o}}\times 102{{\frac{1}{2}}^{\text{o}}} \right)=47{{\frac{1}{2}}^{\text{o}}}\]
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