Mechanical Engineering
2019 · Paper 1
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Complete GATE ME 2019 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 64–65 of 65. Imported answers require review unless explicitly marked reviewed.
Question 54
Open questionMENAT2 marksNeeds review
Five jobs (J1, J2, J3, J4 and J5) need to be processed in a factory. Each job can be assigned to any of the five different machines (M1, M2, M3, M4 and M5). The time durations taken (in minutes) by the machines for each of the jobs, are given in the table. However, each job is assigned to a specific machine in such a way that the total processing time is minimum. The total processing time is ______ minutes.
| M1 | M2 | M3 | M4 | M5 |
|---|---|---|---|---|---|
J1 | 40 | 30 | 50 | 50 | 58 |
J2 | 26 | 38 | 60 | 26 | 38 |
J3 | 40 | 34 | 28 | 24 | 30 |
J4 | 28 | 40 | 40 | 32 | 48 |
J5 | 28 | 32 | 38 | 22 | 44 |
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Open questionMENAT2 marksNeeds review
A project consists of six activities. The immediate predecessor of each activity and the estimated duration is also provided in the table below:
Activity | Immediate predecessor | Estimated duration (weeks) |
|---|---|---|
P | - | 5 |
Q | - | 1 |
R | Q | 2 |
S | P, R | 4 |
T | P | 6 |
U | S, T | 3 |
If all activities other than S take the estimated amount of time, the maximum duration (in weeks) of the activity S without delaying the completion of the project is __________
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