GATE 2024 AR — Architecture – Question 45
Using the activity-on-node network shown, with durations in days and start time 0, find total critical-path project duration, as an integer.

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Correct answer: 18 to 18
Explanation
The path P–Q–R–V takes 1+9+7+1=18 days. P–S–T–V takes 12 days; P–S–U–V takes 17; the direct P–U–V route is 11 but U must also await S. The maximum completion constraint remains 18 days, so P–Q–R–V is critical.
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