A displacement sensor (a dial indicator) measures the lateral displacement of a mandrel on the taper hole inside a drill spindle. The mandrel axis is an extension of the drill spindle taper hole axis and the protruding portion of the mandrel surface is perfectly cylindrical. Measurement are recorded as $${R_x} = $$ maximum deflection minus minimum deflection, corresponding to sensor position at $$X$$, over one rotation.

If $${R_p} = {R_Q} > 0,$$ which one of the following would be consistent with the observation?

A hole is specified as $${40^{\matrix{ {0.050} \cr {0.000} \cr } }}\,\,mm.$$ The mating shaft has a clearance fit with minimum clearance of $$0.01mm.$$ The tolerance on the shaft is $$0.04mm.$$ The maximum clearance in $$mm$$ between the hole and the shaft is

A hole of diameter $${25.00^{ + 0.01}}\,\,mm$$ is to be inspected by using GO / NO GO gages. The size of the GO plug gage should be

A part shown in the gig is machined to the sizes given below

With $$100\% $$ confidence, the resultant dimension $$W$$ will have the specification