Production and Industrial Engineering
GATE PI topic:reliability-maintenance PYQs
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How to practice topic:reliability-maintenance
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 18. Imported answers require independent review unless marked reviewed.
Question 41
Open questionPIMCQ2 marksNeeds review
The function,
, signifies the likelihood that a component has survived up to time
and fails in the next instant of time.
where
denotes the probability density function for time to failure with corresponding cumulative distribution function given by,
Which ONE of the following represents
?Your answerChoose one option.
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An aircraft has two engines, each having a reliability
. The aircraft will crash only when both engines stop working. The reliability of the aircraft flying without crash isYour answerChoose one option.
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Open questionPINAT2 marksNeeds review
The table shows the data of running a machine for five years. The original machine cost is Rupees 70,000. In order to minimize the average total cost per year for running the machine, the machine should be replaced after ________ years. (Answer in integer)
| 1ˢᵗ year | 2ⁿᵈ year | 3ʳᵈ year | 4ᵗʰ year | 5ᵗʰ year |
|---|---|---|---|---|---|
Resale value (Rupees) | 4000 | 3000 | 2500 | 2200 | 2000 |
Maintenance cost (Rupees) | 1900 | 2030 | 2350 | 3500 | 4000 |
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 26
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Which one of the following is not true about Total Productive Maintenance (TPM)?
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 60
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A repairable machine operated for 2400 hours in a year and for that year the machine broke down 8 times. The mean time to repair including waiting time is found to be 20 hours for that year.
If the mean time to repair including waiting time could have been reduced to 10 hours for that year, then the improvement in the availability of that machine would be ________ %. (Rounded off to 2 decimal places)
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A system shown in figure has seven components with reliabilities
,
,
,
,
,
,
. The reliability of the system is _____ (round off to 2 decimal places).
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A system has 10 essential components. Each component has an exponential time-to-failure distribution with constant failure rate of 0.04 per 4000 hours. The mean-time-to-failure, in hours, of the system is _____ (in integer).
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In a machine there are two motors, but only one motor is needed for the functioning of the machine. The reliabilities of the motors are 0.90 and 0.70. The overall reliability of the machine is____________. [round off to two decimal places]
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In a factory, 100 bulbs are in use. The table lists the cumulative probability of the failure of a bulb for various durations.
Duration (month) | Cumulative probability
1 | 0.10
2 | 0.25
3 | 0.47
4 | 0.68
5 | 1.00
The factory follows the individual replacement policy. If the cost of replacing a bulb is ₹ 300, then the expected cost (in ₹) of replacement per month is____________. [round off to nearest integer]
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
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A product has an exponential time-to-failure distribution with a constant failure rate of 0.0006 per hour. The reliability of the product after 400 hours of operation is
Your answerChoose one option.
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