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

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° |

Deepak Menaria said: (Oct 10, 2019) | |

5:15 time. 5 hr angle = 5x30 = 150. 15 min in hour =(15/60)x30 =7.5. 150+7.5=157.5. In minute hand for 15 min. Minute hand angle is 6 degree so, For 15 min = 15x6 =90. So, 157.5 - 90 = 67.5 degree, Answer. |

Ibrahim Payak said: (Jun 23, 2020) | |

Simply put this eq: ∠ = |60H-11M/2|. = |60*5-11*15/2|, = |300-165/2|, = |135/2|, = 67.5. |

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