GATE Operations Research and Operations Management: Project Management – Previous Year Questions

6 GATE previous year questions on Project Management (Operations Research and Operations Management, Production and Industrial Engineering) with answers and explanations, from every paper.

1. GATE 2021 PI Q52 (2 marks, Numerical answer) – Activities and (duration in days; predecessors) are A:(2;–), B:(3;–), C:(2;A), D:(4;A,B), E:(4;C), F:(3;C), G:(X;D,E), H:(2;F,G). Project duration is…
2. GATE 2022 PI Q35 (1 mark, Numerical answer) – Activities A–G have expected durations 4,5,4,1,7,6,8 minutes and variances 1,1,1,0,4,1,4 respectively. The critical path is B,E,G. Find…
3. GATE 2023 PI Q53 (2 marks, Numerical answer) – Project activities A–J have durations (days) A:8, B:10, C:8, D:7, E:16, F:15, G:18, H:14, I:9, J:4. Predecessors are A:–, B:–, C:–, D:A, E:A, F:B,D,…
4. GATE 2024 PI Q41 (2 marks, Multiple choice) – Activities A,B,C have no predecessors; D follows A,B; E follows B,C; F follows A,B. Find the minimum dummy activities for an activity-on-arrow…
5. GATE 2025 PI Q41 (2 marks, Multiple choice) – The project network shows activities A–H and durations in days. Find its critical path.
6. GATE 2026 PI Q24 (1 mark, Multiple choice) – Painting takes six days in a construction project, with total float = free float = 0. Which statement is true?