Q. The Angle Formed By The Hour hand And Minute hand of a Clock at 2 : 15 p.m. is:(A) 27.5° (B) 22.5° (C) 45° (D) 30° |
Answer : 22.5°
Why? Do not worry! Everything is written below from Shortcut Trick to Complete Discription of the Concept and Full Discussion here.
Shortcut Formula Trick to find The Angle Formed By The Hour hand And Minute hand of a Clock :
It is very easy. Just Remember the formula given below.
To find the angle made by hour hand and minute hand at h : m, where
h = number of hours with respect to 12:00
(example: 7:12 pm means, h = 7
but, 12 : 30 pm means , h = 0 )
m = directly enter the minute.
Angle = | 11m÷2 – 30h | |
Note: If the result is greater than 180° , then substract the result from 360° to get the final result.
Derivation of The Angle Formed By The Hour hand And Minute hand of a Clock Formula :
We know, A Complete revolution of any hand of a clock = 360°
Now,
Angle made by Minute Hand in 1 Minute
= 360°/60 { 1 revolution = 60 minute}
= 6°
So, Angle made by Minute hand in m minute = 6m°
Angle made by Hour Hand in 1 Minute
= 360°/60×12 { 1 revolution of hour hand = 12 × 60 minute}
= 1/2
Now, at h : m , total minutes = 60 × h + m
= 60h + m
(example: 2:15 means , 60×2 + 15 = 135 minutes)
Angle made by hour hand in (60h + m) minute = (60h + m) × 1/2
= 30h + m/2
So,
Angle between the hour hand and minute hand = 6m – (30h + m/2)
= | 11m÷2 – 30h |
Which is the required formula.
Q. Pipes A and B can fill a tank in 8 and 24 hours respectively. Pipe C can empty it in 12 hours. If the three pipes are opened together, then the tank will be fill in
(a) 18 hours
(b) 6 hours
(c) 12 hours
(d) 24 hours
Answer : CLICK HERE (SHORTCUT TRICKS)
This question is already taken in SSC GD, UPSC PSC, RRB SSC CHSL CGL MTS , Police Constable and more exams…
Hope You have Understood the Solution For
” The Angle Formed By The Hour hand And Minute hand of a Clock at 2 : 15 p.m. is “
If so, please share it. Comment to clear any confusion. We will try to clear it as soon as possible.
Few More Words on ” The Angle Formed By The Hour hand And Minute hand of a Clock at 2 : 15 p.m. is”
Hope you loved the solution and the way we provide along with the given proof. In addition to this, it is usual to have few more confusions for few people, basically who did not have any idea about calendar problem, leap year etc. For them, our help desk is 24×7 time opened.
So, if anyone have any questions or confusions regarding any problems related to any contents, you may ask it us by commenting here .
This question The Angle Formed By The Hour hand And Minute hand of a Clock at 2 : 15 p.m. is … is a very common questions in most of the competative examinations. The question is taken from reasoning part.
Why the question ” The Angle Formed By The Hour hand And Minute hand of a Clock at 2 : 15 p.m. is “ is important?
This question is from high school or 10th standard Reasoning types of mathematics problem. A complete elementary mathematical reasoning common problem.
We want to mention that, this particular question The Angle Formed By The Hour hand And Minute hand of a Clock at 2 : 15 p.m. is is already taken many times in almost all departmental interview exams from state regional level to National levels.
Basically it was taken in APSC, UPSC, PSC, SSC , RRB or Railway NTPC and Group D, SSC CHSL, SSC MTS Multi Tasking Services, SSC CGL, SSC GD general duty, State level exams such as PNRD, SOIL CONSERVATION DEPARTMENT, SECRETARY ADMINISTRATIVE ASSISTANT JUNIOR AND SENIOR, POST OFFICE VACANCY etc etc..
So, carefully study it. Share it among your friends and discuss it. This is gonna help you a lot.
You will get this types of more questions here. So kindly save our site www.estudynow.com for more questions and it’s answer with shortcut tricks. Thank you ❤️❤️❤️