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:
180°
192 1 °
2
195°
197 1 °
2
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 .
2 2 2

Discussion:
269 comments Page 8 of 27.

Jahir said:   1 decade ago
The below angles are defined

Acute angle Less than 90°
Right angle Exactly 90°
Obtuse angle Between 90° and 180°

Straight angle Exactly 180°
Reflex angle Between 180° and 360°
Full angle Exactly 360°

Varun said:   1 decade ago
Minute hand speed= 6degree/min
thus in 25 minute= 6*25= 150 degree
hour hand speed = 1/2 degree/min
thus in 25 minute= 1/2 * 25= 12.5 degree
thus angle between these two hands= 150+12.5= 162.5 degree
thus reflex anlge= 360-162.5= 197.5 degree

Vamsi singanapudi said:   1 decade ago
In a clear manner to explain about 125/12 is for 10 the angle is 10*30 = 300.

That is hours hand cover 30 degrees in one hour duration.

In the same way within 25 minutes it cover ((30/12) *5 = 12.5).

So that the angle is 312.5 degrees.

M Satheesh said:   1 decade ago
Short hand or hour hand = 360/12 = 30
Long hand or minute hand= 360/60 = 6
When 10.25 is the short hand in the clock then 10x30=300 and 25x30/60=12.5
Adding this 300+12.5=312.5
When 25 minute long hand is 25x6=150
=360-[312.5-150]=197.5.

Navnath Dombale said:   1 decade ago
How to calculate angle?

Simple solution. Take an example.

We know when hrs &min hands on 12.00 after that min hand covers 60 min then hrs hand on 1:00.

So in 60 min hrs hand cover 30 degree. So 60 m = 30° so 1 m = 0.5 °

Bharath said:   1 decade ago
Reflex angle = 360-(angle between).

Angle between = (30*hour)-((11*minute)/2).
= (30*10)-((11*25)/2).
= (300-137(1/2)).
= 162 (1/2).

Reflex angle = 360-(162 (1/2)).
= 197 (1/2).

M Rajeswari said:   1 decade ago
Hi everyone,

It is simple question The reflex angle b/w the hands of a clock at 10.25.

Then formula is 11/2M-30H.

So, we can substitute in this, 11/2(25)-30(10).

=>162.5.

Then, the angle 360-162.5.

=>197.5.

That's it.

Lazy balu said:   7 years ago
@Guru.

Actually for degree calculation |30h-{11(mints)}/2|=======30*10-{(11*25)|/2}.

300-(275)/2.
(600-275)/2.
325/2.
162.1/2.

Then reflected angle = clock angle - actual angle.
360-162.5 = 197.5 this is the correct answer.

Kasinath@Hyd said:   1 decade ago
So simple, to find degrees for a value > 180 or > 6'o clock.

Formula is 1/2 (60*hrs-11*min).

= 1/2(60*10-11*25) ==> 1/2(600-275).

==>162.5.

Since reflex angle i.e., 360 deg.

Therefore 360-162.5 ==> 197.5.

Vinod kr said:   1 decade ago
30*6=180.
25/2=12.5.

30-12.5=17.5.

180+17.5=197.5 or 197-1/2.

One more example:

3.40 or 15.40 min = ? degree angle.

30*4=120.
40/2=20.

30-40=10.
120+10=130.

Exp 12.20 min.

30*3=90.
20/2=10.

30-10=20.
90+20=110.


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