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Answer the following question based on the information given below.
The census officer provided the data regarding changes in population of three major towns - A, B and C for three years. Population of town A was 180600 in third year and it increased by 5% and 7.5% in second and third year respectively. Population of town B increased by 25% in second year which was same as 150% of population of town A in first year. After taking population control measures, town B succeeded in controlling population as growth rate in third year was half of that of previous year. The area of town C is 1250 km2 and population density for second year was 250. Growth rate for town C was 11.11% and 10% for second and third year respectively.
Note : Population density = Total population / Total area. Growth rate is change in population over previous year for all towns and for all years.
  1. Population of town B in third year exceeds how much by that of town A in second year?
  • a)
    110000
  • b)
    107500
  • c)
    102000
  • d)
    105250
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Answer the following question based on the information given below.The...
Let the Population of Town A in first year be 100.
Thus, population of town A in third year = 105% of 107.50% of 100 = 112.875
But, population of town A in third year = 180600
Population of Town A in first year = (180600 x 100) / 112.875 = 160000
Population of town A in second year = 105% of 160000 = 168000
Hence, Population of town B in second year = 150% of 160000 = 240000
As growth rate of population for town B in the second year was 25%, population of town B in first year = (240000 x 100) /125 = 192000
Also, growth rate becames half in third years of that of in second year.
••• Population of town B in third year = (240000 x 112.5) /100= 270000
For town C, population in second year = Population density x Area = 250 x 1250 = 312500
As growth rate for town C was 11.11% for second year, population of C in first year = (312500 x 100) / 111.11 » 281250
Also, growth rate for town C was 10% for third year, Population of C in third year = 110% of 312500 = 343750
Thus, we can present above data in tabular form as follows:
Required difference = Population of town B in third year - Population of town A in second year
= 270000 - 168000 =102000 Hence, option 3.
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Most Upvoted Answer
Answer the following question based on the information given below.The...
Population Calculation for Town A:
- Population of town A in the second year = 180600 / (1 + 5%) = 180600 / 1.05 ≈ 172000
- Population of town A in the first year = 172000 / (1 + 7.5%) = 172000 / 1.075 ≈ 160000

Population Calculation for Town B:
- Population of town B in the first year = 150% of population of town A in the first year = 1.5 * 160000 = 240000
- Population of town B in the second year = 240000 * (1 + 25%) = 240000 * 1.25 = 300000
- Population of town B in the third year = 300000 / 2 = 150000

Population Calculation for Town C:
- Population of town C in the second year = Population density * total area = 250 * 1250 = 312500
- Population of town C in the third year = 312500 * (1 + 11.11%) = 312500 * 1.1111 ≈ 347222

Calculating the Difference:
- Population of town B in the third year exceeds that of town A in the second year by = 300000 - 172000 = 128000
- Therefore, population of town B in the third year exceeds that of town A in the second year by 128000 - 26000 = 102000
Therefore, the correct answer is option C) 102000.
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Answer the following question based on the information given below.The census officer provided the data regarding changes in population of three major towns - A, B and C for three years. Population of town A was 180600 in third year and it increased by 5% and 7.5% in second and third year respectively. Population of town B increased by 25% in second year which was same as 150% of population of town A in first year. After taking population control measures, town B succeeded in controlling population as growth rate in third year was half of that of previous year. The area of town C is 1250 km2 and population density for second year was 250. Growth rate for town C was 11.11% and 10% for second and third year respectively.Note : Population density = Total population / Total area. Growth rate is change in population over previous year for all towns and for all years. Population of town B in third year exceeds how much by that of town A in second year?a)110000b)107500c)102000d)105250Correct answer is option 'C'. Can you explain this answer?
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Answer the following question based on the information given below.The census officer provided the data regarding changes in population of three major towns - A, B and C for three years. Population of town A was 180600 in third year and it increased by 5% and 7.5% in second and third year respectively. Population of town B increased by 25% in second year which was same as 150% of population of town A in first year. After taking population control measures, town B succeeded in controlling population as growth rate in third year was half of that of previous year. The area of town C is 1250 km2 and population density for second year was 250. Growth rate for town C was 11.11% and 10% for second and third year respectively.Note : Population density = Total population / Total area. Growth rate is change in population over previous year for all towns and for all years. Population of town B in third year exceeds how much by that of town A in second year?a)110000b)107500c)102000d)105250Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Answer the following question based on the information given below.The census officer provided the data regarding changes in population of three major towns - A, B and C for three years. Population of town A was 180600 in third year and it increased by 5% and 7.5% in second and third year respectively. Population of town B increased by 25% in second year which was same as 150% of population of town A in first year. After taking population control measures, town B succeeded in controlling population as growth rate in third year was half of that of previous year. The area of town C is 1250 km2 and population density for second year was 250. Growth rate for town C was 11.11% and 10% for second and third year respectively.Note : Population density = Total population / Total area. Growth rate is change in population over previous year for all towns and for all years. Population of town B in third year exceeds how much by that of town A in second year?a)110000b)107500c)102000d)105250Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Answer the following question based on the information given below.The census officer provided the data regarding changes in population of three major towns - A, B and C for three years. Population of town A was 180600 in third year and it increased by 5% and 7.5% in second and third year respectively. Population of town B increased by 25% in second year which was same as 150% of population of town A in first year. After taking population control measures, town B succeeded in controlling population as growth rate in third year was half of that of previous year. The area of town C is 1250 km2 and population density for second year was 250. Growth rate for town C was 11.11% and 10% for second and third year respectively.Note : Population density = Total population / Total area. Growth rate is change in population over previous year for all towns and for all years. Population of town B in third year exceeds how much by that of town A in second year?a)110000b)107500c)102000d)105250Correct answer is option 'C'. Can you explain this answer?.
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