Comprehension
Direction for questions 108 and 109: 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.
\(AB = 2\ \text{km}\), \(AC = 2\ \text{km}\), \(AD > 2\ \text{km}\), \(AE > 3\ \text{km}\), \(BC = 2\ \text{km}\), \(BD = 4\ \text{km}\), \(BE = 3\ \text{km}\), \(CD = 2\ \text{km}\), \(CE = 3\ \text{km}\), \(DE > 3\ \text{km}\)
Question: 1
Direction for questions 108 and 109: 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 km, AC = 2 km, AD > 2 km, AE > 3 km, BC = 2 km, BD = 4 km, BE = 3 km, CD = 2 km, CE = 3 km, DE > 3 km.
If a ration shop is to be set up within 2 km of each city, how many ration shops will be required?
Direction for questions 108 and 109: 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 km, AC = 2 km, AD > 2 km, AE > 3 km, BC = 2 km, BD = 4 km, BE = 3 km, CD = 2 km, CE = 3 km, DE > 3 km.
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
A shop in a city serves the cities within 2 km of it. Find the city that serves the most others, then see who is left.
Updated On: Nov 5, 2026
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Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: List cities within 2 km of each city:
A: B, C. B: A, C. C: A, B, D. D: C only (AD > 2, BD = 4). E: none (AE > 3, BE = 3, CE = 3, DE > 3).
Step 2: Choose the best location:
A shop at C covers C itself and A, B, D (all at most 2 km away). This leaves only E.
Step 3: Cover E:
E is more than 2 km from every other city, so it needs a shop of its own. One shop cannot serve all five.
Step 4: Count:
Minimum shops = 2 (one at C, one at E).
Final Answer:
The correct option is (2): 2
A: B, C. B: A, C. C: A, B, D. D: C only (AD > 2, BD = 4). E: none (AE > 3, BE = 3, CE = 3, DE > 3).
Step 2: Choose the best location:
A shop at C covers C itself and A, B, D (all at most 2 km away). This leaves only E.
Step 3: Cover E:
E is more than 2 km from every other city, so it needs a shop of its own. One shop cannot serve all five.
Step 4: Count:
Minimum shops = 2 (one at C, one at E).
Final Answer:
The correct option is (2): 2
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Question: 2
Direction for questions 108 and 109: 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 km, AC = 2 km, AD > 2 km, AE > 3 km, BC = 2 km, BD = 4 km, BE = 3 km, CD = 2 km, CE = 3 km, DE > 3 km.
If a ration shop is to be set up within 3 km of each city, how many ration shops will be required?
Direction for questions 108 and 109: 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 km, AC = 2 km, AD > 2 km, AE > 3 km, BC = 2 km, BD = 4 km, BE = 3 km, CD = 2 km, CE = 3 km, DE > 3 km.
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
Check whether one city is within 3 km of all the other four.
Updated On: Nov 5, 2026
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- 4
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Look at city C:
CA = 2 km, CB = 2 km, CD = 2 km, CE = 3 km. Every other city is within 3 km of C.
Step 2: Conclude:
A single shop at C serves all five cities, so the minimum number of shops is 1.
Final Answer:
The correct option is (2): 1
CA = 2 km, CB = 2 km, CD = 2 km, CE = 3 km. Every other city is within 3 km of C.
Step 2: Conclude:
A single shop at C serves all five cities, so the minimum number of shops is 1.
Final Answer:
The correct option is (2): 1
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