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If there is a policy that 1/3 rd of population of a community has migrated every year from one place, to some other place, what is the leftover population of that community after the sixth year, if there is no further growth in the population during this period?
  • a)
    16/243 rd part of the population
  • b)
    32/243 rd part of the population
  • c)
    32/729 th part of the population
  • d)
    64/729 th part of the population
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If there is a policy that1/3rd of population of a community has migrat...
Population after 1 year = 1 - 1/3 = 2/3
Population after 6 years = (2/3)= 64/729
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Most Upvoted Answer
If there is a policy that1/3rd of population of a community has migrat...
Given, 1/3rd of the population migrates every year from the community. Therefore, the remaining population after 1 year will be 2/3rd of the original population.

Similarly, after 2 years, the remaining population will be (2/3) * (2/3) = 4/9th of the original population.

After 3 years, the remaining population will be (2/3) * (2/3) * (2/3) = 8/27th of the original population.

After 4 years, the remaining population will be (2/3) * (2/3) * (2/3) * (2/3) = 16/81st of the original population.

After 5 years, the remaining population will be (2/3) * (2/3) * (2/3) * (2/3) * (2/3) = 32/243rd of the original population.

Finally, after 6 years, the remaining population will be (2/3) * (2/3) * (2/3) * (2/3) * (2/3) * (2/3) = 64/729th of the original population.

Hence, the answer is option D, i.e., the leftover population of the community after the sixth year is 64/729th part of the original population.
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If there is a policy that1/3rd of population of a community has migrated every year from one place, to some other place, what is the leftover population of that community after the sixth year, if there is no further growth in the population during this period?a)16/243 rd part of the populationb)32/243rd part of the populationc)32/729th part of the populationd)64/729th part of the populationCorrect answer is option 'D'. Can you explain this answer? for UPSC 2026 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If there is a policy that1/3rd of population of a community has migrated every year from one place, to some other place, what is the leftover population of that community after the sixth year, if there is no further growth in the population during this period?a)16/243 rd part of the populationb)32/243rd part of the populationc)32/729th part of the populationd)64/729th part of the populationCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If there is a policy that1/3rd of population of a community has migrated every year from one place, to some other place, what is the leftover population of that community after the sixth year, if there is no further growth in the population during this period?a)16/243 rd part of the populationb)32/243rd part of the populationc)32/729th part of the populationd)64/729th part of the populationCorrect answer is option 'D'. Can you explain this answer?.
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