CAT 2001 — DILR Question 15
Answer the following question based on the information given below.
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 1000.
The quantity moved from Avanti to Vidisha is
Answer & solution
- A
200
- B
800
- C
700
1000
Demand at Panchal = 700
∴ Quantity of material flowing in the pipeline from Jyotishmati to Panchal = 700
Also, Flow from Vaishali to Jyotishmati + Flow from Vidisha to Jyotishmati = Demand at Jyotishmati + Demand at Panchal
∴ 300 + Flow from Vidisha to Jyotishmati = 400 + 700 = 1100
∴ Flow from Vidisha to Jyotishmati = 1100 − 300 = 800
Now, Flow from Avanti to Vaishali = Demand at Vaishali + Flow from Vaishali to Jyotishmati
∴ Flow from Avanti to Vaishali = 300 + 400 = 700
Also, Flow from Avanti to Vidisha = Demand at Vidisha + Flow from Vidisha to Jyotishmati
∴ Flow from Avanti to Vidisha = 200 + 800 = 1000
The diagram above shows the flow of the material in the pipelines and the demand at the respective points.
∴ Quantity of material moved from Avanti to Vidisha = 1000
Hence, option (d).