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 |
![]() |
![]() |
312 | 1 | - 150 | ![]() |
° | = 360° - 162 | 1 | ° | = 197 | 1° | . |
2 | 2 | 2 |
Discussion:
268 comments Page 1 of 27.
Shaista Khan said:
7 days ago
To find the reflex angle between the hands of a clock at 10:25, we follow these steps:
1. Find the angle of the hour hand:
- The hour hand moves 360° in 12 hours, so it moves 360°/12 = 30° per hour.
- By 10:00, the hour hand is at 10 × 30° = 300° from the 12 o'clock position.
- Since it is 25 minutes past 10, the hour hand moves a bit more. The hour hand moves 30°/60× 25 = 12.5° in 25 minutes.
- So, at 10:25, the hour hand is at 300° + 12.5° = 312.5°.
2. Find the angle of the minute hand:
- The minute hand moves 360° in 60 minutes, so it moves 360°/60 = 6° per minute.
- At 25 minutes past the hour, the minute hand is at 25 × 6° = 150° from the 12 o'clock position.
3. Find the angle between the hands:
- The difference between the positions of the hour hand and the minute hand is |312.5° - 150°| = 162.5°.
4. Find the reflex angle:
- The reflex angle is the larger angle, which is 360° - 162.5° = 197.5°.
So, the correct answer is: d) 197.5°.
1. Find the angle of the hour hand:
- The hour hand moves 360° in 12 hours, so it moves 360°/12 = 30° per hour.
- By 10:00, the hour hand is at 10 × 30° = 300° from the 12 o'clock position.
- Since it is 25 minutes past 10, the hour hand moves a bit more. The hour hand moves 30°/60× 25 = 12.5° in 25 minutes.
- So, at 10:25, the hour hand is at 300° + 12.5° = 312.5°.
2. Find the angle of the minute hand:
- The minute hand moves 360° in 60 minutes, so it moves 360°/60 = 6° per minute.
- At 25 minutes past the hour, the minute hand is at 25 × 6° = 150° from the 12 o'clock position.
3. Find the angle between the hands:
- The difference between the positions of the hour hand and the minute hand is |312.5° - 150°| = 162.5°.
4. Find the reflex angle:
- The reflex angle is the larger angle, which is 360° - 162.5° = 197.5°.
So, the correct answer is: d) 197.5°.
(1)
Mamun Rahaman said:
6 months ago
Reflex Angle Means an angle greater than 180 degrees but less than 360 degrees.
At 10 hr Angle = 30×10 = 300 degree.
For 25 min Angle= (25×5.5) = 162.5 degree (because 5.5 degree/min is the relative speed between min and hours hand)
Normal angle= (300-137.5) = 162.5 degree.
Therefore, Reflex Angle= 360-162.5= 197.5 degree.
At 10 hr Angle = 30×10 = 300 degree.
For 25 min Angle= (25×5.5) = 162.5 degree (because 5.5 degree/min is the relative speed between min and hours hand)
Normal angle= (300-137.5) = 162.5 degree.
Therefore, Reflex Angle= 360-162.5= 197.5 degree.
(26)
Teja Saga said:
11 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.
(42)
Kunal Rai said:
2 years 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.
(97)
Neethu Cheriyan said:
2 years 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.
(61)
Raj said:
2 years ago
I think 192.5 is the right answer.
(21)
Adarsh said:
2 years 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.
(86)
Shivam said:
2 years 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.
(13)
Riya said:
2 years 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°.
(12)
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.
(30)
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