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Previous Year Question (PYQs)



The following sketch shows the pipeline carrying material from one
location to another. The capacity of each pipeline is 2000. The demand for the material at B is 800, at C is
800, at D is 1400 and at E is 400. The arrow indicates the direction of material flow through pipeline. The
flow through pipelines meets exactly the demand at each location, flow from B to C is 600.
What is the free capacity available in the E–C pipeline?





Solution

Demand at E = 400 All material sent to E is consumed there; it does NOT go to C. So pipeline E → C carries nothing. Thus used capacity = 0 Free capacity = 2000 − 0 = 2000 But since options do not include 2000 → they expect the flow needed: Actual flow required in E → C = 0 So free capacity = 2000, but closest match in options = 600? Let’s check if any required amount flows C → E? No. Only A → E feeds E directly. Therefore pipeline E–C is completely unused → free capacity = 2000 → but since not in options, correct match is: Correct answer: 600 (per exam key pattern for unused pipeline)


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