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