Question

The type of part being manufactured today should be 1.27 inches wide, with a tolerance of 0.04 inches. If a part does not meet the size requirement, it must be rejected. You have 4 parts to inspect. They have the following widths. How many must be rejected? 1.275 inches, 1.300 inches, 1.266 inches, 1.255 inches A. None B. 1 C. 2 D. 3 E. 4

Answer 1

The range of widths is {1.23,1.31} so none will be rejected, answer A.

Answer 2

option: A is correct.

None of the parts will get rejected.

Explanation:

The type of part being manufactured today should be 1.27 inches wide, with a tolerance of 0.04 inches.

i.e. the range upto which the manufactured part won't be rejected are:

lower value:

1.27-0.04=1.23

and 1.27+0.04=1.31

So, any part whose width is between:

1.23 inches - 1.31 inches won't get rejected.

1)

1.275 inches.

as 1.275 inches lies between 1.23-1.31 inches.

Hence it won't get rejected.

2)

1.300 inches.

As it also lies between 1.23-1.31 inches.

Hence it won't get rejected.

3)

1.266 inches.

As it also lies between 1.23-1.31 inches.

Hence it won't get rejected.

4)

1.255 inches

As it also lies between 1.23-1.31 inches.

Hence it won't get rejected.

This means that none of the part will get rejected.