The GATE Grind

GATE 2020 PI – Question 34

Quality and Reliability · Reliability and Maintenance · 1 mark · Numerical answer

Three independent series components have equal reliability r. The system must have reliability98%. Find each component reliability (three decimals).

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Correct answer: 0.993 to 0.994 OR 99.300 to 99.400

Explanation

All series components must work, so Rsystem=r³=0.98. Taking a cube root gives r=0.98^(1/3)=0.993288, or0.993. The final key also accepts its percentage form99.300–99.400; both disjoint grading ranges are preserved.

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