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:
87 comments Page 5 of 9.

Meena said:   10 years ago
Why do we take it as 31/6 hrs?

Ssrgsssdf said:   9 years ago
Why do we take it as 31/6 hours?

Naveen said:   9 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.

Rahu said:   9 years ago
@Naveed Mohammad.

Thanks for providing those formulas.

Ajay kumar aluvala said:   9 years ago
5:10 = 5+(10/60) = 5+1/6 = 31/6 hrs.

1 hr = 30 degrees,

31/6 hrs = 31/6 * 30 = 155 degrees.

Bhushan Gore said:   9 years ago
Convert the hours into mins so, 12 * 60=720 mins = 360d.

5 * 60+10min = 310 mins =?.
720/60hrs = 12 = 360.
310/60hr = 31/6 = ?
360/12*31/6 = 155.

Riya shah said:   9 years ago
Also, apply the formula;
Q = 30H + 1/2M.

Put the value of Hour and minutes.

30 * 10 + 1/2 *5,
= 155.
(1)

Soundarya said:   9 years ago
5 min past 10.

Number of hours = 5.

Degrees rotated in 1 hour or 60= 30deg.
Degrees rotated in 5 hours = 150deg.
Degree rotated in 10 min = (30/6) =5.
Degrees rotated in 10 min past 5 = 155deg.

Sowmya said:   9 years ago
12pm to 5pm = 5hrs.
1hr = 30°.

Therefore, 5 * 30 = 150°.
Tilting time = 10min.
1 min = 1/2°.

Therefore, 10/2 = 5°.

Ans = 150° + 5° = 155°.

Shreya raut said:   9 years ago
1 hr = 30° and 1 min = (1/2)°,

So , 5 hrs = 150 min and 10 min = 5°,

Thus 150 + 5 = 155°.


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