Comprehension
Answer the questions based on the following information.
In a locality, there are five small cities: A, B, C, D and E. The distances of these cities from each other are as follows.
$AB = 2 \ \mathrm{km}$ $AC = 2 \ \mathrm{km}$ $AD > 2 \ \mathrm{km}$ $AE > 3 \ \mathrm{km}$ $BC = 2 \ \mathrm{km}$
$BD = 4 \ \mathrm{km}$ $BE = 3 \ \mathrm{km}$ $CD = 2 \ \mathrm{km}$ $CE = 3 \ \mathrm{km}$ $DE > 3 \ \mathrm{km}$
Question: 1
If a ration shop is to be set up within 2 km of each city, how many ration shops will be required?
If a ration shop is to be set up within 2 km of each city, how many ration shops will be required?
Show Hint
For such covering problems, group locations based on maximum distance allowed.
Updated On: Aug 6, 2025
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The Correct Option is B
Solution and Explanation
Within 2 km grouping: (A,B,C), (C,D), (B,E) ensures coverage of all cities with 3 shops.
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Question: 2
If a ration shop is to be set up within 3 km of each city, how many ration shops will be required?
If a ration shop is to be set up within 3 km of each city, how many ration shops will be required?
Show Hint
Increasing the allowed range often reduces the number of required centers.
Updated On: Aug 6, 2025
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Within 3 km grouping: (A,B,C,D) and (B,E) cover all cities.
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