At 8 : 30, the hour hand and the minute hand of clock form an angle of = ?
A. $${\text{8}}{{\text{0}}^ \circ }$$
B. $${\text{7}}{{\text{5}}^ \circ }$$
C. $${\text{7}}{{\text{0}}^ \circ }$$
D. $${\text{6}}{{\text{0}}^ \circ }$$
Answer: Option B
Solution(By Examveda Team)
In 1 hour, the hour hand make the angle of 30°The hour hand make the angle of x in $${\text{8}}\frac{{30}}{{60}}$$ hours
$$\eqalign{ & \Rightarrow x = {\left( {30 \times 8\frac{1}{2}} \right)^ \circ } \cr & \Rightarrow x = {\left( {30 \times \frac{{17}}{2}} \right)^ \circ } \cr & \Rightarrow x = {255^ \circ } \cr} $$
The minute hand make the angle in 1 minute = 6°
Minute hand makes the angle in 30 minutes
$$\eqalign{ & {\text{ = }}{\left( {6 \times 30} \right)^ \circ } \cr & = {180^ \circ } \cr & {\text{Required angle}} \cr & = {255^0} - {180^0} \cr & = {75^0} \cr} $$
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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