A) \[45{}^\circ \]
B) \[37\frac{1}{2}{}^\circ \]
C) \[47\frac{1}{2}{}^\circ \]
D) \[46{}^\circ \]
E) None of these
Correct Answer: C
Solution :
Explanation Option [c] is correct. Angle traced by the hour hand in 12 hours \[=360{}^\circ \] Angle traced by it in 3 hrs 25 min. i.e. \[\frac{41}{12}hrs.={{\left( \frac{360}{12}\times \frac{41}{12} \right)}^{{}^\circ }}=102\frac{1{}^\circ }{2}\] Angle traced by min hand in 25 min. \[=\left( \frac{360}{60}\times 25 \right){}^\circ =150{}^\circ \] Required angle \[=\left( 150{}^\circ -102\frac{1{}^\circ }{2} \right)=47\frac{1{}^\circ }{2}\]
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