Aptitude - Clock - Discussion

To calculate angle : (60h - 11M)/2.

This formula is used to calculate the angle between the hour hand and minute hand.
For 10 : 25;
Using formula : ( 60 x 10 - 11 x 25 )/2,
= 325/2.
Reflex angle = 360 - 325/2 = 197.5.
So, the answer is 197.5.

(11M-60H)/2.
= (11*25-60 * 10)/2,
= (325/2) = 162.5.

The reflex Angle is 360-162.5 = 197.5 degree.

Formula:
The angle between minute & hour hand (Ans) = (11/2)minute - 30*hour.
Reflex angle = 360 - ans.

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°.

@All.
I will explain it.

Hour Hand Makes 30 Degree In 1 Hour(1 Hour------->30 Degree)
Minute Hand Makes 6 Degree In 1 Minute(1 Minute--------> 6 Degree)
So For Hour Hand;
10:25 ---------------> 10 Hour + 25/60(Because Hour Hand Covered 10+(plus) something that is 25 Minutes More Which Cause We Takes 25/60 Hour More).

= 10+25/60.
= 10+5/12.

Total Hours Covered By Hand Hour=(120+5)/12=125/12;

Now;
Convert It Into Degree=(125*30)/12=625/2 Degree;
...................................................................................
Now For Minute Hand.
25 Minute;
Convert It Into Degree= 25*6=150;
.................................................................................
Find Angle B/w Hour Hand & Minute Hand
so;
= 625/2-150
= (625-300)/2
= (325)/2 Degree;
A/c Question We Need To Find Reflex Angle (an angle greater than 180° and less than 360°)
so;
Total Clock Degree=360 Degree.
so,
=360-325/2.
=(720-325)/2.
=395/2.
=197.5.

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.

Hello friend... time into fraction

10hrs 25 min should be taken as

10+25/60 = 10+5/12 =(120+5)/12 = 125/12

Thats all.

They asked reflex angle.ie (360-Shortest angle) = which is basically the biggest angle made by both hands Which is nothing but the clockwise angle.

Now, if it's time 10:25, so the minute hand is at 5 on the clock and the hour hand is above 10 and below 11 to be precise. Slightly below the Middle of 10 and 11.

So, the angle in a clockwise direction will be, from 11 to 5.

It's 180° and from hour hand to 11, it's 15+2.5 ( 15 for the middle of 10 to 11, and 2.5 for slightly below part, analyze in your home clock, everything will be clear).

So, the total angle is 180+15+2.5=192.5°.

Angle made by hour hand for every hour is 360/12 = 30.
Angle made by hour hand for every minute is 30/60 = 0.5,
Angle made by hour hand when the time is 10 is 300.
Angle made by hour hand when the time is 10:25 is 300+(25*0.5) = 312.5,
Angle made by minute hand when the time is 10:25 is 30*5 = 150,
Angle between the hour hand and minute hand at 10:25 is 312.5-150 =162.5,
The reflex angle between the hour and minute hand at 10:25 is 360-162.5 = 197.5.

Hour hand is not exactly at 10:00. It has passed 10:00.