Aptitude - Clock - Discussion

Hour : 10*30=300degre.
25*0.5or1/2=15.5,
+=312.5,
Minute : 25*6=150,
312.5-150=162.5,
360-162.5=197.5 answer.

If you use the formulae the answer would be simple.
Instead of confusing in theoretical way.
Formulae
If hrs>6,
30hrs-(11/2)*min=angle,
else if hrs<6,
11/2*min-30hrs=angle,

In this sum
hrs=10;min=25,
since hrs>6 use 1st formulae,
subtitute ; 30*10 - (11/2)*25=angle,
angle=162.5,
sincle they have asked reflex angle,
reflex angle =360-162.5=197.5(only for reflex angles).

Formulae 1 & 2 are mostly used in clock problems
if they ask what is the minute and gave right angle or opposite angle, substitue the angle as 90deg or 180deg and proceed the sum.

10 * (25/60 hr) = 10 * (5/12)=(12 * 10+5)/12 = 125/12.

BEST ANSWER:

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.

Reflex angle = 360-[(11/2)*m-30*hr],
=360-[(11/2)*25-30*10],
=360-[137.5-300],
=197.5.


Note: degree between hr and min hand shortcut formula : (11/2)m-30*hr.

10.25.
10*60=600 min.

25 min
625min /60 min. = 125/12 hr.

Use this formula (max of the problems will be solved).

Angle=30h-11/2(m)
so acc to given values the time is 10:25,
so h=10,m=25
on solving
angle=30(10)-11/2(25)
=300-11 x12.5
=300-137.5
=162.5(this is internal angle).

Therefore==> reflex=360(this is total angle of clock)-162.5,
=360-162.5,
=197.5,
==>197 1/2 deg.

Hour Hand: 10:25
1 Hour=30° 10*30=300°
1 Minute=1/2° 25*1/2=25/2°
(300+25/2)°;

Minute Hand: 25
1 Minute=6° 25*6=150°;

Angle b/w HH & MH = (300+25/2-150)°,

Reflexive Angle = [360-(300+25/2-150)]°,
Reflexive Angle = 197.5°.

Formula:|11/2(M)-30(H)| here M=minutes, H=hour.

Given time 10:25 substitute in above formula.

|11/2(25)-30(10)| = 1621/2.

Reflexive Angle = [360-162.5] = 197.5deg.

1) For 12 hrs 360 degree (for 1 hr 30 degree) for 10 hrs 300 degree & for 25 min converted in to hrs ie ( 25 min/60 min*30 degree)=(25/60*30)12.5 degree total-300+12.5=312.5 degree.

2) for 60 min 360 degree for 25 min 150 degree we get 1)312.5 degree & 150 degree
diff 162.5 deduct rom 360 162.5 ans-197.5 deg.