A) \[72\frac{1}{2}{}^\circ \]
B) \[67\frac{1}{2}{}^\circ \]
C) \[58\frac{1}{2}{}^\circ \]
D) \[64{}^\circ \]
E) None of these
Correct Answer: B
Solution :
Explanation Option (b) is correct. At 15 minute past 5, the minute hand is at 3 and hour hand slightly ahead of 5. Now, the angle through which hour hand shifts in \[15\,\,minute\,\,=\,\,\left( 15\times \frac{1}{2} \right){}^\circ =7\frac{1}{2}{}^\circ \] \[\therefore \] Angle at 15 minute past \[5=\left( 60+7\frac{1}{2} \right){}^\circ \,\,=\,\,67\frac{1}{2}{}^\circ \]
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