Given the population data of a city from 2012 to 2021![image.png](https://res.cloudinary.com/aptidude/image/upload/v1746444800/aptidude_questions/bobxxgmpyqlcynzbzlne.png)

identify the year in which the population increased at the highest rate compared to the previous year

Question

Given the population data of a city from 2012 to 2021![image.png](https://res.cloudinary.com/aptidude/image/upload/v1746444800/aptidude_questions/bobxxgmpyqlcynzbzlne.png)

identify the year in which the population increased at the highest rate compared to the previous year

Accepted Answer

To find the year with the highest rate of increase, we need to calculate the percentage increase in population for each year compared to the previous year:

- 2013: ((68.4 - 64.5) / 64.5) × 100 = (3.9 / 64.5) × 100 ≈ 6.05%
- 2014: ((72.6 - 68.4) / 68.4) × 100 = (4.2 / 68.4) × 100 ≈ 6.14%
- 2015: ((83.8 - 72.6) / 72.6) × 100 = (11.2 / 72.6) × 100 ≈ 15.43%
- 2016: ((100.6 - 83.8) / 83.8) × 100 = (16.8 / 83.8) × 100 ≈ 20.05%
- 2017: ((112.8 - 100.6) / 100.6) × 100 = (12.2 / 100.6) × 100 ≈ 12.13%
- 2018: ((128.4 - 112.8) / 112.8) × 100 = (15.6 / 112.8) × 100 ≈ 13.82%
- 2019: ((134.6 - 128.4) / 128.4) × 100 = (6.2 / 128.4) × 100 ≈ 4.83%
- 2020: ((156.8 - 134.6) / 134.6) × 100 = (22.2 / 134.6) × 100 ≈ 16.50%
- 2021: ((176.4 - 156.8) / 156.8) × 100 = (19.6 / 156.8) × 100 ≈ 12.50%

Among all these, the highest percentage increase is in 2016 (≈20.05%).

Therefore, the correct answer is 2016.

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