UPSC Prelims 2014·CSAT·Quantitative Aptitude·Arithmetic

The following table gives population and total income of a city for four years: Year | 1992 | 1993 | 1994 | 1995 | Population in lakhs | 20 | 21 | 22 | 23 | Income in crores | 1010 | 1111 | 1225 | 1345 | Which one of the following statements correct in respect of the above data ?

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  1. APopulation increased by 5% or more every year
  2. BIncome increased by 10% or more every year
  3. CPer capita income was always above 5,000Correct
  4. D(d) Per capita income was highest in 1994.

Explanation

The correct answer is C. Here's an analysis of each statement: A) Population increased by 5% or more every year * 1992-93: (21-20)/20 * 100 = 5% * 1993-94: (22-21)/21 * 100 = 1/21 * 100 approx 4.76% * 1994-95: (23-22)/22 * 100 = 1/22 * 100 approx 4.55% Since the increase is less than 5% in 1993-94 and 1994-95, statement A is incorrect. B) Income increased by 10% or more every year * 1992-93: (1111-1010)/1010 * 100 = 101/1010 * 100 = 10% * 1993-94: (1225-1111)/1111 * 100 = 114/1111 * 100 approx 10.26% * 1994-95: (1345-1225)/1225 * 100 = 120/1225 * 100 approx 9.79% Since the increase is less than 10% in 1994-95, statement B is incorrect. C) Per capita income was always above 5,000 Per capita income = (Income in crores / Population in lakhs) * 100 (to convert crores/lakhs to rupees per person) * 1992: (1010 / 20) * 100 = 50.5 * 100 = 5050 * 1993: (1111 / 21) * 100 approx 52.90 * 100 = 5290 * 1994: (1225 / 22) * 100 approx 55.68 * 100 = 5568 * 1995: (1345 / 23) * 100 approx 58.47 * 100 = 5847 All per capita incomes are indeed above 5,000. Statement C is correct. D) Per capita income was highest in 1994 From the calculations in C, the per capita income for 1995 (5847) is higher than that of 1994 (5568). Statement D is incorrect.
Quantitative Aptitude: The following table gives population and total income of a city for four years: Year | 1992 | 1993 | 1994 | 1995 | Popul

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