GATE 2021 PI – Question 52

Operations Research and Operations Management · Project Management · 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 15 days. Find X (integer days).

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Correct answer: 5 to 5

Explanation

Earliest finishes: A=2, B=3, C=4, D=max(2,3)+4=7, E=8, F=7. G finishes at max(7,8)+X = 8+X. H finishes at max(7,8+X)+2 = 10+X for nonnegative X. Setting 15 gives **X = 5 days**.

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