Aptitude - Clock - Discussion

Discussion :: Clock - General Questions (Q.No.9)

9. 

At what angle the hands of a clock are inclined at 15 minutes past 5?

[A].
58 1 °
2
[B]. 64°
[C].
67 1 °
2
[D].
72 1 °
2

Answer: Option C

Explanation:

Angle traced by hour hand in 21 hrs = 360 x 21 ° = 157 1 °
4 12 4 2

Angle traced by min. hand in 15 min. = 360 x 15 ° = 90°.
60

Required angle = 157 1 ° - 90° = 67 1 °
2 2


Guhan said: (Nov 7, 2010)  
We can use the formula

Theta= (11(Minutes)/2)-30(Hour)

Rekha said: (Jan 19, 2011)  
How came 21/4?

Nikhil said: (Feb 4, 2011)  
21/4=5.25
0.25 is 1/4 part of 60min. i.e. 15min

Hare Ram said: (Mar 28, 2011)  
(11/2)*15-30*5=67.5

Vamshik said: (Aug 18, 2011)  
I think (30*Hrs)-(11/2)*Mins is the correct formula for getting this answer.

Rezowan said: (Sep 23, 2011)  
Please explain how this formula came?

Vasuroshan said: (Oct 17, 2011)  
@ rekha

5 hrs and 15 min so

5+15/60=5+1/4

20+1/4=21/4

Rajiv said: (Dec 5, 2011)  
Please explain how we are getting 21/4

If 15 min is 4th part of 60 min.

then how 21 comes.

Neha Mishra said: (Sep 15, 2012)  
5:15, means hour hand is on 5 and minute hand is on 3.

Now, 360/12=30.

Angle between any two numbers on the clock is 30 degrees.

Now angle between 3 and 6 is 90 degree.

Angle between 6 and 5 is 30 degree.

Thus 90-30=60;.

Angle between 5 and 3 is approximately 60 degrees.

Rameez said: (Oct 13, 2012)  
Please explain this to me.

Considering total as 360 degreee. And there are 12 segments. So each segment will have 30 degree.

As there are 2 segments between 3 and 5 so 2x30= 60.

So why 67.5?

Chaitali Kharbade said: (Jan 21, 2013)  
Please tell me how we are getting 21/4.

Siyaram said: (Feb 24, 2013)  
Angle between them 1 hour is 30 degree so 30+30+30/4=67.5.

Nikhil Agarkar said: (Mar 8, 2013)  
Basic calculations first :

In 1 min Angle traced by Hr hand=1/2 degree.
And in 5 min angle traced by minute hand = 30 degree.

So now,

In 15 minutes hour hand movement = 15*1/2 degree=7.5degree
and distance between minute and hour hand at 5.15 O'clock is calculated as,

10 minutes + 7.5 degree(hour hand extra movement in 15 minutes).

So,

As per our calculations,

5 minutes => 30 degree (for minute hand).
10 minutes => 60 degree.

So,

(60+7.5) degree = 67.5 degree.

Soumitra Lohar said: (Sep 20, 2013)  
Theta = 1/2(60*h-11*m) (formula).

Where h = hour and m = minute.

5.15 = 1/2(60*5-11*15).

= 1/2(300-165).

= 67.5.

Ajay said: (Mar 23, 2014)  
What is past 5? which means what?

Radhika said: (Nov 26, 2014)  
Using formula to calculate angle i.e. 1/2(60*h-11*m) where h is hour time and m is minute, angle can easily be calculated.

Yogash Joshi said: (Dec 16, 2014)  
Total no of points between any two no in watch for hour is 6. And for minute is 5.

Then angle between any two points for hour is 5 degree. And such for minute is 6 degree.

So when hour needle move one point between any two no then minute needle move 6 degree so the angle between any two no like 4 to five be 30 degree.

So cover 5 degree (for hour) = 10 degree (for min).
So 1 degree = 2 degree.

So when min needle travel 1 degree then hour needle cover 1/2 degree.
So for 15 minute it will cover 15/2 = 7.5.

And degree from 3 to 5 be 60 degree.
So total = 60+7.5 = 67.5.

Sagar Naikar said: (Mar 5, 2015)  
5+15/60 = 21/4 is correct.

Tashu said: (Mar 23, 2015)  
@Sagar.

If 5+15/60, then why again 15 minutes is considered separately and solved in the answer?

Ganesh said: (Aug 8, 2015)  
21/4 = 5 hr 15 min = 5(15/60) = 5(1/4) = ((5*4)+1)/4 = 21/4.

Shinu said: (Sep 17, 2015)  
15 minute past 5.

Time is - 5.15.

In minute hand at 15 minute = 60 degree.

In hour hand at 15 minute.

Here each 1 mint the hour hand change. 5 degree.

So, at 15 m hour hand change = 15*.5 = 7.5 degree.

So, total degree is = 60+7.5 = 67.5 degree.

Eshaal said: (Jan 12, 2016)  
Find the angle of the hands at 12:40?

Santosh said: (Mar 22, 2016)  
Answer is very simple.

Difference between the hour hand and minute hand is 60 deg but for every minute hour hand will move by 1/2deg and for 15 min hour hand is moved by 7.5 deg so total is 60+7.5 = 67.5 deg.

Neha said: (May 18, 2016)  
30 * 150 - 11/2 * 15 = 67.5.

Dharani said: (Jun 7, 2016)  
@Neha.

How can you multiply 150 degree in place of 5? By formula its wrong.

Please explain that.

Hema Sri said: (Aug 13, 2016)  
They given what angle hands of a clock k 5hrs 15min.

Actually 60min = 30degree.
1min = 1/2degree.

So what is the degree of 15min?

So 15/2 = 7.5.

We add 60min in 7.5 degrees.

Then, the answer is 67.5.

Pramod Patil said: (Nov 26, 2016)  
Here We have to find angle between 5:15.
For 5 hours = 5 * 30 = 150,
for 15 min = 15 * 5.5 = 82.5,
Therefore 150 - 82.5 = 67.5.

Mithilesh Naphade said: (Dec 5, 2016)  
Best way to find the angle between hr and min hand is 30H - 5.5M.

Jayasudhan said: (Jul 19, 2017)  
@ALL.

Multiply it with 6(360/60) and for hrs multiply it by 30 (360/12) here in this problem they said 15 min past 5.

So, 5.15 take 15 min alone and multiply it with 6 gives 90 and then take 5.15 fully convert that 15min into hrs so it 5(1/4) in mixed fraction by converting into proper fraction we have 21/4 then multiply it with 30 gives 157.5 subtract 90 from it gives answer 67.5.

Aarif said: (Jun 9, 2018)  
Use the formula.

=(11/2*min-30*hour),
11/2*15-30*5,
165/2-150,
135/2=67.5.

Sri said: (Jun 19, 2018)  
How came 21/4?

Richin said: (Apr 30, 2019)  
It's a simple logic.

Angle between two adjasent numbers is 30.
So for 5: 15, the hands of the clock will be in 3 and 5 but the hour hand will be moved a little from 5.

So we have to find that only. ie, angle b/w 3&5 is 60 (30+30).
60+ half of the given minute will be the answer.
ie, 60+ 15/2= 67.5.

1 minute is 1/2°

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