A part shown in the figure is machined to the sizes given

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A part shown in the figure is machined to the sizes given below
P = 35.00 ± 0.08 mm
Q = 12.00 + 0.02 mm
R = 13.00^+0.04_-0.02 mm

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

1. 9.99 ± 0.03 mm
2. 9.99 + 0.13 mm
3. 10.00 ± 0.03 mm
4. 10.00 ± 0.13 mm

Correct Option: B

P = 35.00 ± 0.08 mm
Q = 12.00 ± 0.02 mm
R = 13.00^+0.04_-0.03 mm
P = Q + W + R

Now 35.00 ± 0.08 = 12.00 ± 0.02 + W + 13.00^+0.04_-0.03
⇒ W = 35.00 ± 0.08 - [ 12 ± 0.02 + 13.00^+0.04_-0.03 ]
= (35 - 12 - 13)^{+0.08 - 0.02 - 0.04}_{-0.08 + 0.02 + 0.03}
= 10.00^+0.02_-0.03 = 9.99 ± 0.03 mm