Latest Gate Aptitude Question SOLUTION: What is the angle degree suspended by two hands of clock showing the time 2:30?

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(#M40031191) GATE Logical Reasoning question Keep an EYE

What is the angle degree suspended by two hands of clock showing the time 2:30?

Asked In Gate Saadia Butt (10 years ago)

Unsolved Read Solution (19)

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Read Solution (19) :

Akanksha Mishra  (10 years ago)

Total angle in Circle(watch) is 360 degree
12 hour make 360 degree
1 hour makes 360/12 = 30 degree
When two hands of clock showing the time 2:30 then small nidle is between two & three
so it will make 15 degree
3:00 to 6:00 nidle will make 90 degree

so two hands of clock showing the time 2:30 (90 + 15)degree = 105 degree
so ans will be 105 degree

Is this solution Helpfull? Yes (14) | No (4)  

MAnvendra singh  (10 years ago)

105 degrees

Is this solution Helpfull? Yes (3) | No (1)  

anand  (10 years ago)

12 to 3 exact 90 degree dividing 3=30 degree
3 to 6 exact 90 degree
90+30=120 degree

Is this solution Helpfull? Yes (2) | No (4)  

soham  (10 years ago)

The angle between 3 to 6 is 90 degree in the clock. and angle between 2.30 to 3 is 15 degree so total angle is 90+15=105 degree.

Is this solution Helpfull? Yes (2) | No   

mounika.chittapu  (10 years ago)

let us consider degrees covered as distance covered.
now for 60 minutes,minutes hand covers 360 degrees so speed of it is 360/60=6 degrees per minute.where as hours hand covers 30 degrees so its speed is 30/60=0.5.now relative speed of this is 5.5.
this multipliyed by the total minutes covered gives the angle between the hands.but remember from the angle obtained should be n360 subtracted where n is no.of revolutions made.
5.5*150=825,825-2*360=105.

Is this solution Helpfull? Yes (2) | No   

sandeep yendamuri  (9 years ago)

105 degree

Is this solution Helpfull? Yes (2) | No   

sangeetha  (10 years ago)

angle=|((11*m)/2)-30*h|
m=minutes
h=hours
angle=|((11*30)/2)-30*2|=105 degrees

Is this solution Helpfull? Yes (1) | No (1)  

samkit jain  (10 years ago)

120.
we have clock divided in 12 sectors.
each sector=360/12=30 degree.
between 2 and 6(minutes hand position) there are 4 sectors.
therefore angle=4*30=120.

Is this solution Helpfull? Yes (1) | No (2)  

SHUBHAM KUMAR  (10 years ago)

120 degree
360=12hr
1hr=30 degree

Is this solution Helpfull? Yes (1) | No (1)  

Rajan  (9 years ago)

2-3=90deg.
also it vill b in btwn 2&3 so 15deg more.
ans. 105deg.

Is this solution Helpfull? Yes (1) | No   

Shivani Ranje  (5 years ago)

Answer is 105 ,
A angle between 3 and 6 is 90degree
And a hour hand is at between centre of 2and3 and angle between 3 to that hour hand point is 15 so
An angle between Minuite hand and hour hand=90 +15=105

Is this solution Helpfull? Yes (1) | No   

shabanabegum  (10 years ago)

angle betweem two hands={1/2(60(h)-11(m))}
=>1/2(60(2)-11(30))
=>110/2
=>55

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Murugan D  (10 years ago)

ANSWER IS 120 DEG

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p.n.v.vasavi  (9 years ago)

from 3to6 it is 90degrees
but it is at 2 so add 45degrees to it
90+45=135

Is this solution Helpfull? Yes | No (2)  

somalarajeshwar  (9 years ago)

120 degree
bcz the angle b/w 2 & 3 is 30 degrees
and 3 &6 is 90 degrees

Is this solution Helpfull? Yes | No (2)  

kattiri raghuram  (9 years ago)

120 degrees

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SOMNATH DAS  (8 years ago)

120 degree

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K.Sravani  (8 years ago)

for 2 to 3 the angle is 30
since from 12 to 3 angle is 90 by making it into 3 parts
we get 30
then from 3 to 6 we have 90 degrees since it is right angled
so 30+90=120
the answer is "120" degrees

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khitish tripathy  (5 years ago)

120 degreee

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