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The angle between the 2 hands of a clock at 3 PM = 90 degrees where the hour hand is ahead of the minute hand.
The distance between the hands will reduce by 5.5 degrees per minute.
So, the angle between the hands at 3.15 PM = $$90-15\times\ 5.5=7.5$$ degrees or 7 degrees and 30 minutes.
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