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Pipeline Material Flow

CAT 2001 Slot 1 · Data Interpretation & Logical Reasoning · Medium · Data Interpretation

This is a medium Data Interpretation & Logical Reasoning question set from the CAT 2001 Slot 1 paper. It tests Data Interpretation. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Passage / data set

The following sketch shows the pipelines carrying material from one location to another. Each location has a demand for material. The demand at Vaishali is 400, at Jyotishmati is 400, at Panchal is 700, and at Vidisha is 200. Each arrow indicates the direction of material flow through the pipeline. The flow from Vaishali to Jyotishmati is 300. The quantity of material flow is such that the demands at all these locations are exactly met. The capacity of each pipeline is 1,000.

Pipeline flow network:

  • Avanti →\rightarrow Vaishali
  • Avanti →\rightarrow Vidisha
  • Vaishali →\rightarrow Jyotishmati
  • Vidisha →\rightarrow Jyotishmati
  • Vidisha →\rightarrow Panchal
  • Jyotishmati →\rightarrow Panchal

Question 1 of 3

The quantity moved from Avanti to Vidisha is

  1. A.

    200

  2. B.

    800

  3. C.

    700

  4. D.

    1,000

Answer

D

Explanation

Demand at Vaishali =400= 400. Flow from Vaishali to Jyotishmati =300= 300. So flow from Avanti to Vaishali =400+300=700= 400 + 300 = 700. Demand at Jyotishmati =400= 400, flow coming from Vaishali =300= 300. Deficit at Jyotishmati =100= 100, which must come from Vidisha. Demand at Panchal =700= 700, which comes from Jyotishmati / Vidisha. Total flow from Vidisha =demand at Vidisha (200)+flow to Jyotishmati (100)+flow to Panchal (700)=1000= \text{demand at Vidisha } (200) + \text{flow to Jyotishmati } (100) + \text{flow to Panchal } (700) = 1000. Therefore, quantity moved from Avanti to Vidisha =1,000= 1,000.

Question 2 of 3

The free capacity available at the Avanti-Vaishali pipeline is

  1. A.

    0

  2. B.

    100

  3. C.

    200

  4. D.

    300

Answer

D

Explanation

Flow in Avanti-Vaishali pipeline =700= 700. Capacity =1,000= 1,000. Free capacity =1,000−700=300= 1,000 - 700 = 300.

Question 3 of 3

What is the free capacity available in the Avanti-Vidisha pipeline?

  1. A.

    300

  2. B.

    200

  3. C.

    100

  4. D.

    0

Answer

D

Explanation

Flow in Avanti-Vidisha pipeline =1,000= 1,000. Capacity =1,000= 1,000. Free capacity =1,000−1,000=0= 1,000 - 1,000 = 0.

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