CRE 6 - Bubble Charts | DI - Tables & Graphs
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Answer the next 5 questions based on the information given below:
The following chart shows data about Population and Area of 4 cities – A, B, C and D. Area of each bubble is directly proportional to the municipality budget of the city.
Population density = Population / (Area in km2)
Which city has the highest municipality budget?
- (a)
A
- (b)
B
- (c)
C
- (d)
D
Answer: Option B
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Explanation :
It is given that area of each bubble is directly proportional to the municipality budget of the city.
∴ By simple observation we can say that the biggest bubble will have the highest municipality budget.
⇒ City B will have the highest municipality budget.
Hence, option (b).
Workspace:
What is the population density for city A?
- (a)
1000 / km2
- (b)
750 / km2
- (c)
800 / km2
- (d)
700 / km2
Answer: Option B
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Explanation :
Population density for city A = 30,00,000 / 4000 = 750 people / km2
Hence, option (b).
Workspace:
If the annual municipality budget for city A is 500 crores, find the annual municipality budget for city B?
- (a)
500 crores
- (b)
800 crores
- (c)
1000 crores
- (d)
2000 crores
Answer: Option D
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Explanation :
It is given that area of each bubble is directly proportional to the municipality budget of the city.
⇒ budget ∝ area ∝ r2.
∴ Budget is directly proportional to square of the radius of the bubble.
Since, radius of bubble B is twice the radius of bubble B ⇒ municipality budget for B will be 22 = 4 times the municipality budget for A.
∴ Municipality budget for city B = 4 × 500 = 2000 crores.
Hence, option (d).
Workspace:
What is the ratio of municipality budgets of city C and D?
- (a)
1 : 1
- (b)
1 : 2
- (c)
1 : 4
- (d)
None of these
Answer: Option C
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Explanation :
It is given that area of each bubble is directly proportional to the municipality budget of the city.
⇒ budget ∝ area ∝ r2.
∴ Budget is directly proportional to square of the radius of the bubble.
Ratio of radius of bubble C and D = 1 : 2
⇒ Ratio of municipality budget for city C and D = 12 : 22 = 1 : 4.
Hence, option (c).
Workspace:
For which city is the municipality budget per capita least?
- (a)
A
- (b)
B
- (c)
C
- (d)
D
Answer: Option D
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Explanation :
Here, ratio of municipality budget for city A : B : C : D = 4 : 16 : 1 : 4.
∴ Let the budget for city A = 4x, B = 16x, C = x and D = 4x.
Budget per capita = Budget/Population
Budget per capita for city A = 4x/3 = 1.33x
Budget per capita for city B = 16x/7 = 2.28x
Budget per capita for city C = x/1.5 = 0.66x
Budget per capita for city D = 4x/9 = 0.44x
⇒ The budget per capita is least for city D.
Hence, option (d).
Workspace:
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