At 9 : 38 A.M. through how many degrees the hour hand of a clock moved since noon the previous day ?
A. 323°
B. 612°
C. 646°
D. 649°
Answer: Option D
Solution(By Examveda Team)
Time from 12 noon to 9 : 38 A.M.= 12 hours + 9 hours 38 minutes
= 21 hours 38 minutes
$$\eqalign{ & {\text{ = 21}}\frac{{38}}{{60}}{\text{ hours}} \cr & {\text{ = 21}}\frac{{19}}{{30}}{\text{ hours}} \cr & {\text{ = }}\frac{{649}}{{30}}{\text{hours}} \cr} $$
Angle traced by the hour hand in 12 hours = 360°
Angle traced by the minute hand in
$$\eqalign{ & \Leftrightarrow \frac{{649}}{{30}}{\text{hours}} \cr & = {\left( {\frac{{360}}{{12}} \times \frac{{649}}{{30}}} \right)^ \circ } \cr & = {649^ \circ } \cr} $$
Related Questions on Clock
The reflex angle between the hands of a clock at 10.25 is:
A. 180º
B. $${\text{192}}{\frac{1}{2}^ \circ }$$
C. 195º
D. $${\text{197}}{\frac{1}{2}^ \circ }$$
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
A. 145º
B. 150º
C. 155º
D. 160º
A. $$59\frac{7}{{12}}$$ min. past 3
B. 4 p.m.
C. $$58\frac{7}{{11}}$$ min. past 3
D. $$2\frac{3}{{11}}$$ min. past 4
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