# an accurate clock shows 4 am. through how may degrees will the hour hand rotate when the clock shows 10 am?

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## An accurate clock shows 4 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2:45 PM?

m4maths previous todays puzzles - An accurate clock shows 4 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2:45 PM?

## An accurate clock shows 4 o'clock in the morning. Through how may degrees will the hour hand rotate

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M4maths Previous Puzzles 06 Jun 2017 Clock

### An accurate clock shows 4 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2:45 PM?

## OPtion

1) 350 degree 2) 355 degree 3) 340 degree 4) 310 degree 5) 320.5 degree 6) 320.0 degree 7) 322.5 degree 8) 322 degree 9) 325 degree **10) None of these ** Solution

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

From 4 to 2:45, there are 10.75 hours (10 hour 45 mins).

Angle traced by the hour hand in 10.75 hours = 10.75×360/12

=322.5 degree

**Correct Option: 7**

**Best Solution (29)**

Sumanth koditala 5 years AGO

30 degrees for every hour

In total it rotates 10hrs 45min

i.e., 300+22.5=322.5 degree

Like? **Yes (2) | No **

SAYAN CHATTERJEE 5 years AGO

the clock hand rotates 30 degree to traverse a time frame of 1 hr,

so, to for a time duration of (4:00 am to 2:45 pm= )43/4 hr, it will rotate by 43/4*30 degree=322.5 degree.

Option 7.

Like? **Yes (2) | No (1)**

Mukund Manohar 5 years AGO

We know that angle traced by hour hand in 12 hours = 360 degrees

From 4 am to 2:45 pm, there are 10.75 hours

Angle traced by hour hand in 10.75 hours = 10.75 * 360/12 = 322.5 degrees

Like? **Yes | No **

palak Jain 5 years AGO

360 degrees=12 hrs 1 hrs=30 degrees

4:00 am to 2:00 pm=10 hrs=300 degrees

60 min=30 degrees 45 min=22.5 degrees So 322.5 degrees Like? **Yes | No **

aparna padakanti 5 years AGO

1prt =30 10=300 1=1/2 45=22.5 total322.5 Like? **Yes | No **

mohan kurali 5 years AGO

300 for 10 hrs and 22.5 for 45 min

Like? **Yes | No **

G.S.Kantharao 5 years AGO

Time between 4 A.M and 2.45P.M = 10.75hrs.

Hour hand in 1 he makes 30°

In 10.75 hrs it makes 300+22.5

=322.5°

Hence the right option is 7.

Like? **Yes | No **

Karthick Kumar 5 years AGO

(360/12) × 10 = 300 (1/2) × 45 = 22.5 300 + 22.5 = 322.5 Like? **Yes | No **

Nimalan 5 years AGO

angle traced by hour hand in 10hrs 45 min is 10*30+45*0.5= 322.5

Like? **Yes | No **

Amarnath Kumar Upadhyay 5 years AGO

in 1 hr angle made by hr hand=360/12=30 deg

angle made by hr hand in 1 min=30/60=1/2 deg

so in diff of time interval=10hr 45 min

angle made =30*10+45/2=322.5 deg

Like? **Yes | No **

Divyansh Agrawal 5 years AGO

angle difference is 37.5 degrees

360-37.5=322.5 Like? **Yes | No **

VAIBHAV SRIVASTAVA 5 years AGO

The answer will be 322.5 degree because the in one cycle the clock rotates 360 degree and for each our there is an angle of 30 degree in each part.so according to that for each minute there will be the angle of 0.5 degree.so ,here is the mathematical expression of the result when clock shows again 4 o'clock then it will rotate 360 degree so at 2 0'clock it will rotate 360-60=300 degree.and for rest 45 min there will be additioonal 45*0.5=22.5 degree rotation.so the total degree rotation = 300+22.5=322.5 degree

Like? **Yes | No **

Gokul Krishnan 5 years AGO

difference in hours is =10 hour 45minutes

so=(360/12)*(10*(45/60))

=322.5 degree Like? **Yes | No **

ganesh chemanchula 5 years AGO

for each hour the angle made is 30 degrees

at 4 in the afternoon we will have 360 degrees

at 3 we will have 330 degrees

for 15 minutes angle made is 7.25

so by reducing 7.5..angle at 2.45 Pm will be 322.5 degrees

Like? **Yes | No **

Sanju patidar 5 years AGO

1hour = 30 degree 10 hour =300 degree

45 min =45*30/60 =22.5

Total =300+22.5=322.5

Like? **Yes | No **

Chitrala Venkatesh Babu 5 years AGO

for 1 hour it rotates 30 degrees

for every 15 minutes it rotates 7.5 degrees

so for 4AM to 2:45PM we have 10hours and 45 minutes

Therefore total degrees =10*30+3*7.5=322.5 degrees

Like? **Yes | No **

Mayur Shinde 5 years AGO

As clock move by 30° per hrs and 0.5° per minute...

duration between 4am and 2.45 pm is 10.45hrs means 645 min

so 645*0.5=322.5

hence option 7 is the correct option

Like? **Yes | No **

tumati koushik 5 years AGO

for 1 hour hour's hand rotates by 30 degrees

## [Solved] A functional clock shows 10 am. How many degrees will its ho

The hour hand rotates 360 degrees in 12 hours. There are 8 hours from 10 am to 6 pm. So it covers degrees= (360÷12) × 8 =240 degrees. Hence the h

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## Question

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## A functional clock shows 10 am. How many degrees will its hour hand rotate to show 6 pm the same day?

120 degrees 240 degrees 360 degrees 550 degrees

## Answer (Detailed Solution Below)

Option 2 : 240 degrees

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## Detailed Solution

Download Solution PDF

The hour hand rotates 360 degrees in 12 hours.

There are 8 hours from 10 am to 6 pm.

So it covers degrees= (360÷12) × 8 =240 degrees.

Hence the hour hand covers 240 degrees at this time.

Download Solution PDF

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## An accurate clock shows 4 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o' clock in the afternoon?

Answer (1 of 7): A hour hand of the clock rotates 360 degrees in 12 hours. Thus in 1 hour it rotates 30 degrees. Now from 4′ o clock to 2′ o clock its 10 hours. So the hour hand will rotate 30 X 10 = 300 degrees

An accurate clock shows 4 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o' clock in the afternoon?

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Sort Sunny Grover

Sr. Lecturer of Mental ability at FiitjeeAuthor has 56 answers and 29.5K answer views1y

Solution:-

In 12 hours angle traced by hour hand = 360°

Hour hand rotates 30° in an hour

So from 4Am to 2pm (i.e 10hours)

It will rotate 10*30° = 300°

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Arvind Jatia

Studied MathematicsAuthor has 185 answers and 117.6K answer views1y

A hour hand of the clock rotates 360 degrees in 12 hours.

Thus in 1 hour it rotates 30 degrees.

Now from 4′ o clock to 2′ o clock its 10 hours.

So the hour hand will rotate 30 X 10 = 300 degrees

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Former Retired as Associate Director From NPCIL at Nuclear Power Corporation of India Limited (NPCIL) (1981–2017)Author has 1.4K answers and 522.1K answer viewsNov 10

The hour hand rotate from 4 am to 4 pm in 12 hours.

The hour hand rotates by an angle less by 360°*2/12 or 360° * 1/6 for time 4 am to 2 pm i.e., from 4 am to 2 pm the hour hand rotates by 360° - 360° * 1/6 i. e., 360° (1–1/6) i. e., 360° * 5/6 i e , 300°.

Ravi Sharma

Former Group A Officer From Northern Railway, (1973–2009)Author has 7.3K answers and 873.3K answer viewsNov 10

The angle between two consecutive numbers is 30°. Hour hand will pass 10 numbers from 4:00 AM to 2: 00 PM

Number of degrees through which hour hand will rotate= 10×30= 300°

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HsBadarinath

Former CE, Graduate, PG, Research Scholar and Faculty at Indian Institute of Technology, Roorkee (1964–2000)Author has 55.9K answers and 35M answer viewsSep 29

The number of hours between 4 am and 2 pm = 10 hours.

For each hour, the hour hand of the clock turns through 30 degrees and so in 10 hours it turns through 30*10 = 300 degrees.

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Former PROFESSOR OF MECHANICAL ENGINEERING at Government College of Technology, Tamil Nadu, India (1983–1997)Author has 5.6K answers and 1.5M answer viewsNov 10

LET ME CONSIDER 12 hr CLOCK.

AT 4 O’CLOCK IN THE MORNING THE HOUR HAND WILL BE AT 120 deg TO THE VERTICAL

STARTING FROM THE THE HOUR HAND WILL BE AT 60 deg TO THE VERTCAL

THE NUMBER OF DEGREES IT ROATES TO REACH THE NEW POSITION = (360–120) + 60 = 300 deg

Jayanta Mukherjee

B Tech IEE in Instrumentation Engineering, Jadavpur University (Graduated 1990)Author has 13.4K answers and 5.8M answer viewsNov 10

For every hour, the hour hand rotates by (360° / 12) = 30°.

4 o'clock in the morning to 2 o'clock in the afternoon → 10 hours.

So, the hour hand will rotate by (10 * 30°) = 300°.

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Related

A clock shows 8 o clock in the morning. Through how many degrees has the hour hand rotated when the clock shows 4 o clock in the afternoon?

A2A

There's a problem with this question. It's obvious you're talking about a 12 hour analog clock; however, such clocks don't have AM/PM indicators.

Guys, does anyone know the answer?