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At what time between 2 pm and 3 pm will the two hands of a clock be at 150° angle to each other ?
$$36\frac{1}{11}$$ minutes past 2 pm
$$38\frac{2}{15}$$ minutes past 2 pm
$$37\frac{1}{15}$$ minutes past 2 pm
$$38\frac{2}{11}$$ minutes past 2 pm
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