An accurate clock shows 6 o'clock in the morning. Through how may degrees will the hour hand rotate

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30 Jun 2017 Clock

An accurate clock shows 6 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 3:30 PM?

OPtion

1) 250 degree
2) 210 degree
3) 240 degree
4) 255 degree
5) 280 degree
6) 205 degree
7) 245 degree
8) 230 degree
9) 260 degree
10) None of these

Solution

We know that angle traced by hour hand in 12 hrs = 360°

From 6 to 3:30, there are 9.5 hours (9 hour 30 mins).

Angle traced by the hour hand in 9.5 hours = 9.5×360/12
=285 degree

Correct Option: 10 Best Solution (17)

G.S.Kantharao   7 years AGO

Time period between 6A.M to 3.30P.M= 9 1/2 hrs.
Hour hand rotates =19*30/2=285°
Hence my option is 10.

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Mukund Manohar   7 years AGO

We know that angle traced by hour hand in 12 hours = 360 degree
From 6 am to 3:30 pm,there are 9.5 hours
Angle traced by hour hand in 9.5 hours = 9.5 * 360/12 = 9.5 * 30 = 285 degree

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ganesh chemanchula   7 years AGO

For every 3 hours the angle made is 90.
So angel at 3 pm will be 270.
per hour angle made is 30 degree, so for 30 minutes angle made is 15 degree.
So angle at 3:30 Pm will be 270+15=285 degree.
So option 10)none of these

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Mayur Shinde   7 years AGO

Hrs hand moved 0.5 degree per minute.

difference between 6 hrs to 3.30 hrs is 570 minutes.

so 570*0.5=285.

meas hrs hand move by 285 degree.hence option 10 is correct

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palak Jain   7 years AGO

6:00 to 3:00 =9 hrs
1 hr angle =30degrees
9 hr angle=270 degrees
30 min =30/2=15 degrees
Total 285 degrees

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Rishav Jha   7 years AGO

In 1 hour the hour hand moves 30 degrees.
Thus in 9.5 hours it will move 30 *9.5 = 285 degrees.

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vasigaran   7 years AGO

ever 1 hour, hand rotates 30 deg. 6 to 3 is 9 hrs so 270+15 for that half an hour it has to be 285 i guess

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Kaushal Thacker   7 years AGO

Because when the hour hand would reach the 3:30 pm;it will rotate 270+15=285 degrees from 6 am position.

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NABA KISHORE PADHY   7 years AGO

3:30 P.M. - 6 A.M = 9 hours 30 minuts
In 12 hours the hour hand rotates 360 degree
in 9 hour 30 minutes it will rotate = 360/12*9.5= 285 degree.
Answer is 285 degree

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Saptarsy Chakraborty   7 years AGO

An hour hand rotates 360 degrees in 12 hours.
i.e. in 1 hr it rotates 30 degrees (360/12 = 30).
Now, from 6 to 3-30, total time is 9 hours and 30 mins OR 9.5 hours.
Hence, the hour hand rotates through ((9*30)+(0.5*30)= 270+15=285 degrees.

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AYAN PAUL   7 years AGO

Hour hand rotates 30 degree per hour
Now total hour occurs 3:30 P.M. - 6:00 A.M.= 9 hour 30 Minutes
So total degree obtain for hour hand = 19/2*30 = 285 degree

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Ashive tyagi   7 years AGO

As 12 hours=360 degree. So, 6hrs=180 and 3hrs=90 and 30min=15 degrees So correct answer is 180+90+15=285 degrees

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Priyadharshini. M   7 years AGO

if 3 o clock takes 180 degree means the behind 1/4 is add through the answer is 270 degree

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Ramya Eswari   7 years AGO

12 hours = 360 degree so
1 hour = 30 degree from 6-3 pm is 9 hours so 9 *30 = 270 degree 30 minutes = 15 degree (270+15) =285 so none of these

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Anmol Gupta   7 years AGO

Answer is 285 degree as 6-3 will be 270 degree and 30 min will make the hour hand move by 15 degrees.. that will sum up to be 285 degrees

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Myank garg   7 years AGO

From 6 am to 3 pm hour hand moves 270 degree . From 3- 3:30 it moves 15 degree so 270+15=285

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Honey   7 years AGO

Initially, the hour hand is at 6 and finally hour hand will be at 3.Hence total angle change is equal to 180+90=270.

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