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Direction for questions: Answer the questions based on the following information.

In a locality, there are five small cities: $\text{A, B, C, D}$ and $\text{E}$. The distances of these cities from each other are as follows. $\text{AB} = 2  \text{ km; AC} = 2 \text{ km;  AD} > 2 \text{ km;  AE} > 3 \text{ km;  BC} = 2 \text{ km;  BD} = 4 \text{ km;  BE} = 3 \text{ km; CD} = 2 \text{ km; CE} = 3 \text{ km;  DE} > 3 \text{ km}.$ 

If a ration shop is to be set up within $3 \text{ km }$ of each city, how many ration shops will be required?

  1. $1$
  2. $2$
  3. $3$
  4. $4$
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