Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 3)
3.
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
145°
150°
155°
160°
Answer: Option
Explanation:

Angle traced by hour hand in 12 hrs = 360°.

Angle traced by hour hand in 5 hrs 10 min. i.e., 31 hrs = 360 x 31 ° = 155°.
6 12 6

Discussion:
88 comments Page 7 of 9.

Akshay said:   1 decade ago
10min past 5 is 5:10
so, 5+10/60 =5+1/6(cross multiply)=31/6

Nitin harjai said:   1 decade ago
I don't understand "by 10min past 5".

Mariah said:   2 decades ago
What is the formula of changing minutes or hours to degrees?

Sandhya said:   2 decades ago
5.10/60
=5.2/12
=5.1/6
=5*6+1/6
=31/6

Pradeep said:   2 decades ago
@nilesh
1hr=30 degree
.'. 31/6 hr= 31/6 * 30 =155 deg

Nilesh said:   2 decades ago
I cant undrstand how that
31/6 hrs= (360/12 * 31/6) = 155

Pradeep Gorai said:   2 decades ago
To Uma
5 hr 1o min=310min(5*60+10)
=310/60 hr
=31/6 hr.
or
5 hr 10 min=5+10/60
=31/6

Shiv said:   1 decade ago
@Shravan Sir your explanation is mind blowing.

Rahu said:   9 years ago
@Naveed Mohammad.

Thanks for providing those formulas.

Naveen said:   10 years ago
Angle between hands: 1/2(60H - 11M).

H : Hour.
M: Minutes.

Angle for the Minute hand : 6M.
Angle for the hour hand: 1/2(60H+M).
Reflex angle : 360- Angle.

So for this queestion:

Angle = 1/2(60(5) + (10)).
= 1/2 (310).
= 155.


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