Aptitude - Clock - Discussion
Discussion Forum : Clock - General Questions (Q.No. 9)
9.
At what angle the hands of a clock are inclined at 15 minutes past 5?
Answer: Option
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 |
![]() |
![]() |
157 | 1 | ![]() |
° | - 90° = 67 | 1 | ° |
2 | 2 |
Discussion:
41 comments Page 1 of 5.
Yogash joshi said:
1 decade ago
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.
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.
Nikhil Agarkar said:
1 decade ago
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.
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.
Jayasudhan said:
8 years ago
@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.
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.
Richin said:
6 years ago
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°
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°
(3)
Neha Mishra said:
1 decade ago
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.
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.
Shinu said:
9 years ago
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.
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.
Deki Zangmo said:
4 years ago
We can use the below formula to find angle when the hour and minute values are given:
A=30H-5.5M.
H=5 M=15 as per the above questions;
So now we just have to substitute values in the formula
A=(30*5) -5.5*15.
150 - 82.5.
=67.5°.
A=30H-5.5M.
H=5 M=15 as per the above questions;
So now we just have to substitute values in the formula
A=(30*5) -5.5*15.
150 - 82.5.
=67.5°.
(3)
Deepak menaria said:
5 years ago
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.
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.
(5)
Santosh said:
9 years ago
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.
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.
Hema sri said:
9 years ago
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.
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.
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