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What is the angle between the clock hands at 12:55?
Question

What is the angle between the clock hands at 12:55?

A.

8712\frac{1}{2}​°

B.

6712\frac{1}{2}​​°

C.

5712\frac{1}{2}​​°

D.

2712\frac{1}{2}​​°

Correct option is C

Given: The clock hands at 12:55.

Formula Used:

Angle between = 30H112M\Big| 30H - \frac {11}{2}M\Big|

30×12112×55\Big| 30\times12 - \frac {11}{2}\times55\Big|

3606052\Big| 360 - \frac {605}{2}\Big|

7206052\Big| \frac {720 - 605}{2}\Big|

1152\Big| \frac {115}{2}\Big|

= 57 12\frac {1}{2}​​°

Thus, correct option is (c).

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