WORKED SAMPLES
One worked question for each of the 6 official subject areas of Industrial Engineering, from a bank built on ETEC’s academic standards. Work them here, then practise the full set — with spaced review and timed mocks — in the app, free.
Area 01 · Operations research
When the solution is degenerate in transportation problem, we add a _
Degeneracy in a transportation problem occurs when the number of occupied cells is less than m + n - 1, so an allocation of a small fictitious quantity is introduced to create the required independent occupied cells. This fictitious quantity is conventionally denoted ε, hence option B.
Sample — the full set, with spaced review and mocks, is in the app.
Area 02 · Engineering economy
A product has fixed costs of 40 currency units and positive contribution margin of 3 units per item. What is the continuous break-even quantity?
Q_BE = fixed cost/unit contribution. Substituting the stated values gives 13.3333 items. Whole-number results are given exactly; others are shown to six significant figures.
Sample — the full set, with spaced review and mocks, is in the app.
Area 03 · Ergonomics & work design
A repetitive cycle includes 40 seconds of active work followed by 3 seconds of rest. What is the active duty fraction?
duty = work/(work + rest). Substituting the stated values gives 0.930233. Whole-number results are given exactly; others are shown to six significant figures.
Sample — the full set, with spaced review and mocks, is in the app.
Area 04 · Operations & logistics
MPS stands for
In production planning and supply chain management, MPS stands for Master Production Schedule, the document that specifies which end items are to be produced, in what quantity and on what dates. It drives material requirements planning.
Sample — the full set, with spaced review and mocks, is in the app.
Area 05 · Facilities engineering
In case of belt conveyors, while conveying earth, as excavated, the maximum permissible slope is around
For a troughed belt conveyor, the maximum inclination depends on the angle of repose and the tendency of the material to roll backward. Earth as excavated, being lumpy and unconsolidated, is limited to about 20°, so the maximum permissible slope is around 20°.
Sample — the full set, with spaced review and mocks, is in the app.
Area 06 · Quality engineering
For a given sample size (n) and number of defects acceptable ©, the Average Total Inspection (of units) should ______________ with increase in N (lot size).
Average Total Inspection is the expected number of units inspected per lot, given by n + (1-Pa)(N-n), where Pa is the probability of acceptance. With n and c fixed, Pa is fixed, so a larger lot size N increases the screening of the remaining lot and ATI rises.
Sample — the full set, with spaced review and mocks, is in the app.
Every question explains why each option is right or wrong, and brings back what you miss.
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