UPSC Prelims 2018·CSAT·Quantitative Aptitude·Arithmetic

Directions: The following table gives the GDP growth rate and Tele- density data of different States of a country in a particular year. Study the table and answer the two items that follow. States | Per Capita income () | GDP growth rate (%) | Tele-density 1 | 704 | 9.52 | 70.27 2 | 419 | 5.31 | 35.88 3 | 254 | 10.83 | 50.07 4 | 545 | 9.78 | 5.94 5 | 891 | 10.8 | 76.12 6 | 1077 | 11.69 | 77.5 7 | 900 | 8.88 | 104.86 8 | 395 | 5.92 | 6 9 | 720 | 7.76 | 82.25 10 | 893 | 9.55 | 96.7 11 | 363 | 4.7 | 57.7 12 | 966 | 7.85 | 63.8 13 | 495 | 9.37 | 52.3 14 | 864 | 5.46 | 97.9 15 | 497 | 7.48 | 62.3 16 | 777 | 7.03 | 93.8 17 | 335 | 5.8 | 49.9 18 | 599 | 7.49 | 47.84 With reference to the above table, which of the following is/are the most logical and rational inference/inferences that can be made? 1. Higher per capita income is generally associated with higher Tele-density. 2. Higher GDP growth rate always ensures higher per capita income. 3. Higher GDP growth rate does not necessarily ensure higher Tele-density. Select the correct answer using the code given below

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  1. A1 only
  2. B2 and 3
  3. C1 and 3Correct
  4. D3 only

Explanation

Let's analyze each statement: 1. Higher per capita income is generally associated with higher Tele-density. By observing the table, states with higher per capita income (e.g., States 6, 7, 10, 14, 16) generally show higher tele-density figures (e.g., 77.5, 104.86, 96.7, 97.9, 93.8). Conversely, states with lower per capita income (e.g., States 3, 8, 11, 17) tend to have lower tele-density (e.g., 50.07, 6, 57.7, 49.9). While there might be exceptions, the overall trend supports this statement. Thus, this inference is logical. 2. Higher GDP growth rate always ensures higher per capita income. The word "always" makes this a very strong claim. Let's look for a counter-example. State 3 has a very high GDP growth rate of 10.83% but a very low per capita income of 254. In contrast, State 14 has a lower GDP growth rate of 5.46% but a much higher per capita income of 864. This clearly shows that a higher GDP growth rate does not *always* ensure higher per capita income in a given year, as the starting base and other factors like population growth also play a role. Thus, this inference is not rational. 3. Higher GDP growth rate does not necessarily ensure higher Tele-density. This statement implies that there can be cases of high GDP growth without high tele-density. State 4 has a high GDP growth rate of 9.78% but a very low tele-density of 5.94. State 3 has a high GDP growth rate of 10.83% but a moderate tele-density of 50.07. These examples demonstrate that a high GDP growth rate does not *necessarily* lead to high tele-density. Tele-density can be influenced by other factors like infrastructure, investment in telecom, and consumer adoption, which may not perfectly align with a single year's GDP growth. Thus, this inference is logical. Based on the analysis, statements 1 and 3 are logical and rational inferences. The final answer is C
Quantitative Aptitude: Directions: The following table gives the GDP growth rate and Tele- density data of different States of a country in a p

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