GATE 2022 PI – Question 43

Quality and Reliability · Quality Management · 2 marks · Multiple choice

Four products P,Q,R,S each have batch size 2 × 10⁷. Defective counts are 60,71,80,55 respectively. Which statement is true?

All conform to six sigma.
Only S conforms to six sigma.
All except R conform to six sigma.
P and S conform to six sigma.

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Show answer and explanation

Correct answer: (D) P and S conform to six sigma.

Explanation

Using the conventional six-sigma threshold of 3.4 defects per million and one opportunity per item, permitted defects per batch = 20 × 3.4 = 68. P has 60 and S 55, both below 68; Q 71 and R 80 exceed it. **P and S, D**.

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