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At half past 5 in the evening, the smaller angle between the hour and minute hands of a clock is?
Question

At half past 5 in the evening, the smaller angle between the hour and minute hands of a clock is?

A.

10o10^o​​

B.

12o12^o

C.

15o15^o​​

D.

18o18^o​​

Correct option is C

Given: At half past 5 in the evening.
θ\theta = 112\frac {11}{2} ×\times M - 30 ×\times H

θ\theta = 112\frac {11}{2} ×\times 30 - 30 ×\times 5

θ\theta = 11 ×\times 15 - 150
θ\theta = 165 - 150
θ\theta = 15o15^o
The smaller angle between the hours and minute hand of clock is 15o15^o​​
Thus, correct option is (c).

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