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
Answer: Option C
Solution (By Examveda Team)
Angle traced by hour hand in 12 hrs = $${360^ \circ }$$Angle traced by hour hand in 5 hrs 10 min. i.e.,
$$\eqalign{ & \frac{{31}}{6}{\text{hrs}} = {\left( {\frac{{360}}{{12}} \times \frac{{31}}{6}} \right)^ \circ } \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {155^ \circ } \cr} $$
This Question Belongs to Arithmetic Ability >> Clock
5 hrs = 60 x 5 = 300min
5hrs 10min = 300min + 10min = 310min
5hr 10min/60min = 310min/60min = 31/60
This is how 31/60 happened
Just because of unit conversions
5hr 10min
5hr+10/60
31/6hr*30
=155°
360° in 12hr.
So 360°=12 hr.
30° =1 hr
For 5 hr = 150°
Or
In one hr. Min. Rotets by 60
So. 30° = 60 min.
0.5°= 1 min.
So for 10 min = 5°
So total angle = 150°+5° = 155° Ans.
How you get 31 mister
Angle = | (11/2 *min) - (30 * hours ) |
Always use this formula for clock
Angle= | 11/2* 25 - 30 * 10 |
= | -137.5 |
= 137.5
Reflex angle = 360 - 137.5
= 197.5
1/2(60*Hour+Minute)
1/2(60*5+10)
1/2(300+10)
155 Ans
Is this true
5hrs 10min = 5*60 min +10 min =310min
310/60=31/6 min
How do you get 31 by 6 sir