# Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 2)

2.

The reflex angle between the hands of a clock at 10.25 is:

Answer: Option

Explanation:

Angle traced by hour hand in | 125 | hrs = | 360 | x | 125 | ° | = 312 | 1 | ° | . | ||

12 | 12 | 12 | 2 |

Angle traced by minute hand in 25 min = | 360 | x 25 | ° | = 150°. | ||

60 |

Reflex angle = 360° - | 312 | 1 | - 150 | ° | = 360° - 162 | 1 | ° | = 197 | 1° | . | ||

2 | 2 | 2 |

Discussion:

266 comments Page 1 of 27.
Teja Saga said:
2 months ago

Angle between hrs and min formula is 30H-11/2 M, we get 263 1/2.

Now reflex formula is 360-263 1/2 = 197 1/2.

Now reflex formula is 360-263 1/2 = 197 1/2.

(9)

Kunal Rai said:
12 months ago

To find the angle use this formula:

Θ=|5.5*(min) - 30*(hour)|

here in this example;

θ = |5.5*25 - 30*10|

= |137.5 - 300|

= |-162.5|

= 162.5 for an obtuse angle.

Now for reflex angle 360-162.5 = 197.5.

Using this formula u can find min and hours using theta or angle.

Θ=|5.5*(min) - 30*(hour)|

here in this example;

θ = |5.5*25 - 30*10|

= |137.5 - 300|

= |-162.5|

= 162.5 for an obtuse angle.

Now for reflex angle 360-162.5 = 197.5.

Using this formula u can find min and hours using theta or angle.

(67)

Neethu Cheriyan said:
1 year ago

30H -11/2 * M

30*100-11/2 * 25 = 162.5

360-162.5 = 197.5.

30*100-11/2 * 25 = 162.5

360-162.5 = 197.5.

(46)

Raj said:
1 year ago

I think 192.5 is the right answer.

(10)

Adarsh said:
1 year ago

For every 5 minutes, the minute hand make a 30-degree angle.

So, from 11 to 5 the angle made by the minute hand is 30*6=180 degrees.

Now we have to find the angle made by hour hand (hour hand in between 10 and 11)

For every 5-minute hour hand moves by 30/12 degrees.

So, for 25 minutes (time is 10.25) the hour hand moves (30/12)*5 =12.5 degrees.

So the remaining angle hour hand make with 11 =30 - 12.5 = 17.5.

Total angle when time is 10.25 = 180+17.5 = 197.5.

So, from 11 to 5 the angle made by the minute hand is 30*6=180 degrees.

Now we have to find the angle made by hour hand (hour hand in between 10 and 11)

For every 5-minute hour hand moves by 30/12 degrees.

So, for 25 minutes (time is 10.25) the hour hand moves (30/12)*5 =12.5 degrees.

So the remaining angle hour hand make with 11 =30 - 12.5 = 17.5.

Total angle when time is 10.25 = 180+17.5 = 197.5.

(69)

Shivam said:
1 year ago

Formula:

The angle between minute & hour hand (Ans) = (11/2)minute - 30*hour.

Reflex angle = 360 - ans.

The angle between minute & hour hand (Ans) = (11/2)minute - 30*hour.

Reflex angle = 360 - ans.

(12)

Riya said:
1 year ago

In hour hand, the angle between 12 pm - 10 pm = 300' + 25 (min) * 0.5 => 625/2 =>312.5.

In minute hand, the angle between 12 pm - 5 pm = 25 (min) * 6' => 150.

The angle between the hour hand and the minute hand is : 312.5 - 150 => 162.5.

So the question was to find the reflex angle which means;

The angle should be between 180° - 360°.

So, to calculate that just do a subtraction of the angle we found between 5-10 from the whole circle;

360-162.5= 197.5°.

In minute hand, the angle between 12 pm - 5 pm = 25 (min) * 6' => 150.

The angle between the hour hand and the minute hand is : 312.5 - 150 => 162.5.

So the question was to find the reflex angle which means;

The angle should be between 180° - 360°.

So, to calculate that just do a subtraction of the angle we found between 5-10 from the whole circle;

360-162.5= 197.5°.

(9)

Sahithi said:
2 years ago

1hr---> 30°

Then 8hr --->240°

As we know 60min --->30° than for 25 min ---> 12.5.

Now, 8hr25min forms --->240+12.5=252.4,

as the minute hand is at 5 then the angle of the minute hand becomes 5*30=150,

Now the angle b/w the hands will become 262.5-150=102.5,

But the question is about the reflex angle.so,360-102.5= 197.5.

Then 8hr --->240°

As we know 60min --->30° than for 25 min ---> 12.5.

Now, 8hr25min forms --->240+12.5=252.4,

as the minute hand is at 5 then the angle of the minute hand becomes 5*30=150,

Now the angle b/w the hands will become 262.5-150=102.5,

But the question is about the reflex angle.so,360-102.5= 197.5.

(28)

Kalpesh said:
2 years ago

As simple as that in 60 min(1hr) hour hand (small hand) turns 30°.

Means every hour small hand turns 30°

So if we calculate then imagine the hour hand and min. Hand position

By that you get min hand will be on 5 and hour hand on 10 (not exact but slightly upwards)

So 1st calculate the angle from 5-10 it would be 30+30+30+30+30 = 150

From 5-10 it's 150°

Now the hour hand has moved slightly upwards but how much?

So to find its easy from the above statement i said

If 60 min =30°

Then 25 min= ?

Cross multiply it ;

It gives 12.5.

So now add 150+12.5 = 162.5.

So the question was to find reflex angle which means the angle should be between 180° - 360°.

So to calculate that just do substraction of angle we found between 5-10 from whole circle

360-162.5= 197.5°.

Means every hour small hand turns 30°

So if we calculate then imagine the hour hand and min. Hand position

By that you get min hand will be on 5 and hour hand on 10 (not exact but slightly upwards)

So 1st calculate the angle from 5-10 it would be 30+30+30+30+30 = 150

From 5-10 it's 150°

Now the hour hand has moved slightly upwards but how much?

So to find its easy from the above statement i said

If 60 min =30°

Then 25 min= ?

Cross multiply it ;

It gives 12.5.

So now add 150+12.5 = 162.5.

So the question was to find reflex angle which means the angle should be between 180° - 360°.

So to calculate that just do substraction of angle we found between 5-10 from whole circle

360-162.5= 197.5°.

(45)

Praveen said:
2 years ago

Step1. find angle b/w 12 and minute hand. ( ie, 150 °)

Step2. find angle b/w hour hand and 12,

Step3. Add angles.

* In 1 hr the hour hand moves 30 degree --> ( 60 * 30 )/60,

*from 10 to 12 --> 60 degree.

In 25 minutes hour hand moves 25 * 30 / 60 degree --> 12.5 degree.

Angle b/w hour hand and 12 is--> 60 - 12.5 = 47.5 degree.

47.5 + 150 = 197.5 degree.

Step2. find angle b/w hour hand and 12,

Step3. Add angles.

* In 1 hr the hour hand moves 30 degree --> ( 60 * 30 )/60,

*from 10 to 12 --> 60 degree.

In 25 minutes hour hand moves 25 * 30 / 60 degree --> 12.5 degree.

Angle b/w hour hand and 12 is--> 60 - 12.5 = 47.5 degree.

47.5 + 150 = 197.5 degree.

(6)

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