$($unit: mm$)$ Given

Hole: $5\mathrm{.}5\{\begin{array}{c}\text{:}[+0\mathrm{.}006]\\ -0\mathrm{.}010\end{array}$

To meet the functional requirements of the two mating parts, the allowance is set to $-0\mathrm{.}046.$ The

tolerance of the shaft is three times the upper deviation of the hole.

Determine the type of fit and the maximum and minimum limits of the shaft sizes.