In the ISO system of gauge design:
- The ‘GO’ gauge is designed to ensure that the hole is at the maximum size, while the ‘NO GO’ gauge ensures that the hole is not larger than the maximum allowable tolerance.
Given:
- The nominal size of the shaft is \(36.000\) mm.
- The tolerance is \(+0.070\) mm (upper limit) and \(+0.010\) mm (lower limit).
- Gauge tolerance is 5% of the hole tolerance.
The total tolerance on the shaft is \( 0.070 + 0.010 = 0.080 \) mm. The gauge tolerance is 5% of this, so:
\[
\text{Gauge tolerance} = 0.080 \times 0.05 = 0.004 \, \text{mm}.
\]
- The ‘GO’ gauge size is:
\[
36.000 + 0.070 - 0.004 = 36.013 \, \text{mm}.
\]
- The ‘NO GO’ gauge size is:
\[
36.000 + 0.070 + 0.004 = 36.067 \, \text{mm}.
\]
Thus, the correct sizes for the ‘GO’ and ‘NO GO’ gauges are 36.013 mm and 36.067 mm, respectively.
Therefore, the correct answer is (A).