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?
58 1 °
2
64°
67 1 °
2
72 1 °
2
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

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

Discussion:
41 comments Page 2 of 5.

Rameez said:   1 decade ago
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?

Ibrahim Payak said:   5 years ago
Simply put this eq:

∠ = |60H-11M/2|.
= |60*5-11*15/2|,
= |300-165/2|,
= |135/2|,
= 67.5.

Srinitha said:   1 year ago
Use formula( d × 30 + min/2).
D = distance b/w 5 and 15 minutes = 2,
= 2 × 30 + 15/2.
= 60+7 1/2.
= 67 1/2.
(3)

Pramod Patil said:   9 years ago
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.

Soumitra lohar said:   1 decade ago
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.

Radhika said:   1 decade ago
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.

Alekhya said:   4 years ago
Just put the formula :

θ = abs | 30*(H) - 11/2* (M)|.
= 30*5 - 5.5 * 15,
= 67.5°.
(4)

Dharani said:   9 years ago
@Neha.

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

Please explain that.

Tashu said:   1 decade ago
@Sagar.

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

Rajiv said:   1 decade ago
Please explain how we are getting 21/4

If 15 min is 4th part of 60 min.

then how 21 comes.


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