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GATE 2026 MN – Question 31

Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering · 1 mark · Numerical answer

Activities in the project network are labelled(expected days,standard deviation in days). Find the standard deviation of project completion time to one decimal.

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Correct answer: 3.0 to 3.0

Explanation

Path A–C–D–F takes12+15+18+6=51 days; B–E takes23+27=50 days. The first path is the expected-time critical path. Under the usual independent-activity PERT approximation its variance is0²+1²+2²+2²=9 days², so standard deviation3.0 days. This approximation follows the critical path, not the sum of every activity variance.

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