GATE ME 2022 Set 2 — Question 59
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumPERT & CPMOperations ResearchIndustrial Engineering
Industrial Engineering → Operations Research → PERT & CPM
Last updated
Question
A project consists of five activities (A, B, C, D and E). The duration of each activity follows beta distribution. The three time estimates (in weeks) of each activity and immediate predecessor(s) are listed in the table. The expected time of the project completion is __________ weeks (in integer).
| Activity | Optimistic time | Most likely time | Pessimistic time | Immediate predecessor(s) |
|---|---|---|---|---|
| A | 4 | 5 | 6 | None |
| B | 1 | 3 | 5 | A |
| C | 1 | 2 | 3 | A |
| D | 2 | 4 | 6 | C |
| E | 3 | 4 | 5 | B, D |
Correct answer
15 to 15
Solution
1.Calculate Expected Time () for each activity using :
- Path 1: A B E = weeks
- Path 2: A C D E = weeks
The critical path is A-C-D-E with a duration of 15 weeks. Thus, the expected project completion time is 15 weeks.
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Operations Research
2026 Set 1 Q46An objective function of primal variables ( and ) is described below: Minimize…2026 Set 1 Q47Four jobs are on order in a factory. As on day 20 of the production calendar, the corresponding due…2026 Set 1 Q60The actual demand for castings in a factory is units and units for the months of…2026 Set 1 Q61The inventory holding cost of an item is ₹ 0.50 per unit per month and the ordering cost per order…2026 Set 1 Q65The activities of a PERT network and their corresponding activity time estimates (in weeks) i.e.,…