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At what angle the hands of a clock are inclined at 15 minutes past 5?
Angle between hands of a clock at H:M = $$|\dfrac{\ 11}{2}M-30H|$$ degrees.
So, at 5:15 pm ,the angle = $$|\frac{\ 11}{2}\left(15\right)-30\left(5\right)|\ =\left|-67.5\right|\ =\ 67.5\ $$