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At what angle the hands of a clock are inclined at 15 minutes past 5?

Question: At what angle the hands of a clock are inclined at 15 minutes past 5?
[A].

58 1 °
2

[B].

64°

[C].

67 1 °
2

[D].

72 1 °
2

Answer: Option C

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