Comprehension
Telecom operators get revenue from transfer of data and voice. Average revenue received from transfer of each unit of data is known as ARDT. In the diagram below, the revenue received from data transfer as percentage of total revenue received and the ARDT in US Dollars (USD) are given for various countries.
Question: 1
It is expected that by 2010, revenue from data transfer as a percentage of total revenue will triple for India and double for Sweden. Assume that in 2010, the total revenue in India is twice that of Sweden and that the volume of data transfer is the same in both the countries. What is the percentage increase of ARDT in India if there is no change in ARDT in Sweden?
It is expected that by 2010, revenue from data transfer as a percentage of total revenue will triple for India and double for Sweden. Assume that in 2010, the total revenue in India is twice that of Sweden and that the volume of data transfer is the same in both the countries. What is the percentage increase of ARDT in India if there is no change in ARDT in Sweden?
Show Hint
Volume = (data share x total revenue) / ARDT. Equate the 2010 volumes of India and Sweden, find the new ARDT of India and compare with the present one.
Updated On: Nov 4, 2026
- 400%
- 800%
- 550%
- 950%
- cannot be determined
Show Solution
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The Correct Option is B
Solution and Explanation
Step 1: Read the present values from the diagram:
India: ARDT \(a_I\approx 0.9\), data share \(\approx 8\%\). Sweden: ARDT \(a_S\approx 5.8\), data share \(\approx 19\%\).
Step 2: Shares in 2010:
India: \(3\times 8\%=24\%\). Sweden: \(2\times 19\%=38\%\).
Step 3: Equal volumes in 2010:
Volume \(=\dfrac{sT}{a}\) and \(T_I=2T_S\), \(a_S\) unchanged:
\[\frac{24\times 2T_S}{a_I'}=\frac{38\,T_S}{5.8}\Rightarrow a_I'=\frac{48\times 5.8}{38}\approx 7.3\]Step 4: Percentage increase:
\[\frac{7.3-0.9}{0.9}\times100\approx 710\%\]i.e. the ARDT of India becomes about 8 times its present value. Among the options the closest is 800% (550% is farther away). The value can be determined from the diagram, so "cannot be determined" is wrong.
Final Answer:
The correct option is (2): 800%.
India: ARDT \(a_I\approx 0.9\), data share \(\approx 8\%\). Sweden: ARDT \(a_S\approx 5.8\), data share \(\approx 19\%\).
Step 2: Shares in 2010:
India: \(3\times 8\%=24\%\). Sweden: \(2\times 19\%=38\%\).
Step 3: Equal volumes in 2010:
Volume \(=\dfrac{sT}{a}\) and \(T_I=2T_S\), \(a_S\) unchanged:
\[\frac{24\times 2T_S}{a_I'}=\frac{38\,T_S}{5.8}\Rightarrow a_I'=\frac{48\times 5.8}{38}\approx 7.3\]Step 4: Percentage increase:
\[\frac{7.3-0.9}{0.9}\times100\approx 710\%\]i.e. the ARDT of India becomes about 8 times its present value. Among the options the closest is 800% (550% is farther away). The value can be determined from the diagram, so "cannot be determined" is wrong.
Final Answer:
The correct option is (2): 800%.
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Question: 2
If the total revenue received is the same for the pairs of countries listed in the choices below, choose the pair that has approximately the same volume of data transfer.
If the total revenue received is the same for the pairs of countries listed in the choices below, choose the pair that has approximately the same volume of data transfer.
Show Hint
With equal total revenue, volume of data transfer is proportional to (data share) / ARDT. Find the pair with nearly equal ratios.
Updated On: Nov 4, 2026
- UK and Spain
- Canada and Poland
- Germany and USA
- Philippines and Austria
- Denmark and Mexico
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The Correct Option is A
Solution and Explanation
Step 1: Volume in terms of the plotted quantities:
Volume \(=\dfrac{s\,T}{a}\). If \(T\) is the same for the two countries, volume is proportional to \(\dfrac{s}{a}\) (Y value divided by X value on the diagram), i.e. the slope of the line from the origin to the point.
Step 2: Read the points and compute s/a:
Only UK and Spain have almost equal ratios (2.3 and 2.4). All other pairs differ by a factor of 2 or more.
Final Answer:
The correct option is (1): UK and Spain.
Volume \(=\dfrac{s\,T}{a}\). If \(T\) is the same for the two countries, volume is proportional to \(\dfrac{s}{a}\) (Y value divided by X value on the diagram), i.e. the slope of the line from the origin to the point.
Step 2: Read the points and compute s/a:
- Philippines (3.0, 35%): 11.7; Austria (7.5, 19.5%): 2.6
- Canada (9.0, 13%): 1.4; Poland (5.5, 23%): 4.2
- Germany (6.0, 25%): 4.2; USA (10.8, 17%): 1.6
- UK (12.5, 29%): 2.3; Spain (6.3, 15%): 2.4
- Denmark (5.7, 13%): 2.3; Mexico (3.5, 18%): 5.1
Only UK and Spain have almost equal ratios (2.3 and 2.4). All other pairs differ by a factor of 2 or more.
Final Answer:
The correct option is (1): UK and Spain.
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Question: 3
It was found that the volume of data transfer in India is the same as that of Singapore. Then which of the following statements is true?
It was found that the volume of data transfer in India is the same as that of Singapore. Then which of the following statements is true?
Show Hint
Volume of data transfer = (revenue from data) / ARDT, and revenue from data = (data share) x (total revenue). Equate the volumes for India and Singapore.
Updated On: Nov 4, 2026
- Total revenue in Singapore is about 4 times that of India.
- Total revenue in India is about 2 times that of Singapore.
- Total revenue in India is about 4 times that of Singapore.
- Total revenue in Singapore is about 2 times that of India.
- Total revenue is the same in both countries.
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Read the points from the scatter diagram:
India: ARDT \(\approx 0.9\) USD (X axis), data share \(\approx 8\%\) (Y axis).
Singapore: ARDT \(\approx 9.5\) USD, data share \(\approx 20\%\).
Step 2: Write the volume in terms of total revenue:
Revenue from data \(= s \times T\) where \(s\) is the data share and \(T\) the total revenue. Volume \(V = \dfrac{sT}{a}\) where \(a\) is the ARDT.
Step 3: Equate the volumes:
\[\frac{s_I T_I}{a_I}=\frac{s_S T_S}{a_S}\Rightarrow \frac{T_I}{T_S}=\frac{s_S}{s_I}\cdot\frac{a_I}{a_S}=\frac{20}{8}\times\frac{0.9}{9.5}\approx 0.24\approx\frac14\]So the total revenue of Singapore is about 4 times that of India (taking the ARDT of India as 1 gives \(0.26\), still about \(\tfrac14\)).
Final Answer:
The correct option is (1): Total revenue in Singapore is about 4 times that of India.
India: ARDT \(\approx 0.9\) USD (X axis), data share \(\approx 8\%\) (Y axis).
Singapore: ARDT \(\approx 9.5\) USD, data share \(\approx 20\%\).
Step 2: Write the volume in terms of total revenue:
Revenue from data \(= s \times T\) where \(s\) is the data share and \(T\) the total revenue. Volume \(V = \dfrac{sT}{a}\) where \(a\) is the ARDT.
Step 3: Equate the volumes:
\[\frac{s_I T_I}{a_I}=\frac{s_S T_S}{a_S}\Rightarrow \frac{T_I}{T_S}=\frac{s_S}{s_I}\cdot\frac{a_I}{a_S}=\frac{20}{8}\times\frac{0.9}{9.5}\approx 0.24\approx\frac14\]So the total revenue of Singapore is about 4 times that of India (taking the ARDT of India as 1 gives \(0.26\), still about \(\tfrac14\)).
Final Answer:
The correct option is (1): Total revenue in Singapore is about 4 times that of India.
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