Question 1
A repairable system has MTBF = 800 hours and MTTR = 8 hours. The inherent availability (Ai) is:
Show answer & explanation
Correct answer: C - 0.99
10 free, exam-style Certified Reliability Engineer (CRE) practice questions with answers and explanations. No signup required. Work through them below, then take the full free CRE practice test to study every exam domain.
A repairable system has MTBF = 800 hours and MTTR = 8 hours. The inherent availability (Ai) is:
Correct answer: C - 0.99
A system has an MTBF of 2,000 hours (exponential distribution). The reliability at t = 500 hours is approximately:
Correct answer: B - 0.779
A Weibull analysis yields β = 0.7 and η = 5,000 hours. This indicates:
Correct answer: B - Decreasing failure rate (infant mortality region)
An engineer uses the 5 Whys technique and concludes that the root cause is 'operator error.' The PRIMARY problem with this conclusion is:
Correct answer: B - The investigation stopped too soon - 'operator error' is typically a symptom, not a root cause
An FMEA team assigns Severity = 10, Occurrence = 2, Detection = 3. The RPN is 60. Another failure mode has S = 5, O = 6, D = 4 with RPN = 120. Which should be prioritized?
Correct answer: B - The failure mode with Severity = 10 because safety-critical severity takes priority
Events A (P = 0.03) and B (P = 0.05) are connected to the top event through an OR gate. The probability of the top event is:
Correct answer: C - 0.0785
A component is tested at 125°C (398K) with a use temperature of 55°C (328K) and activation energy Ea = 0.7 eV. Using the Arrhenius model (k = 8.617 × 10⁻⁵ eV/K), the acceleration factor is approximately:
Correct answer: A - AF ≈ 77
A 2-out-of-3 system with identical components (R = 0.90) has system reliability:
Correct answer: A - Rs = 3(0.90)²(0.10) + (0.90)³ = 0.972
A system has two LRUs: LRU-A (λ = 0.002/hr, MTTR = 2 hr) and LRU-B (λ = 0.005/hr, MTTR = 4 hr). The system MTTR is:
Correct answer: A - 3.43 hours
Preventive maintenance is NOT effective when the component has:
Correct answer: B - A constant failure rate (β = 1, exponential)
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