A socket includes a tubular body having a receiving recess in a first end thereof so as to be connected with a driving end of a wrench, and an engaging recess is defined in a second end of the tubular body so as to be mounted to a bolt head or a nut. The engaging recess has 24 or 36 points equal-angularly extending from an inner periphery of the engaging recess. An opening between two adjacent points is smaller than a width between two respective root portions of the two adjacent points.
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