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Difficulty: MediumTables and Data Grids

The table below shows the annual solar power generation (in Megawatts, MW) across four districts (P, Q, R, and S) in a state from 2021 to 2024:

District2021 (MW)2022 (MW)2023 (MW)2024 (MW)
District P100120150200
District Q200240300360
District R150180200240
District S5060150200

Based on the table above, which of the following statements are correct?

  1. District P experienced a 100% increase in solar power generation in 2024 compared to its generation in 2021.Answer
  2. B
    District S contributed the highest percentage share to the total solar power generation in 2023.
  3. The ratio of total solar power generation in 2021 to total solar power generation in 2024 across all four districts is 1:21 : 2.Answer
  4. D
    The average annual solar power generation for District R over the four-year period (2021–2024) is 210 MW210\text{ MW}.

Answer

The correct statements are that District P experienced a 100% increase in solar power generation in 2024 compared to 2021, and the ratio of total solar power generation in 2021 to 2024 across all four districts is 1 : 2.
The statement regarding District P's growth is valid because generation doubled from 100 MW in 2021 to 200 MW in 2024, representing a 100% increase. The statement comparing overall totals is also valid because total generation in 2021 (500 MW) and 2024 (1000 MW) forms a simplified ratio of 1 : 2.

Step-by-Step Solution

1
Evaluate the statement regarding District P's percentage growth from 2021 to 2024.
Percentage Increase = 200−100100×100=100%\frac{200 - 100}{100} \times 100 = 100\%. This statement is correct.
Calculate relative growth using 2021 as the base year.
2
Evaluate the statement regarding District S's share in 2023.
Total 2023 generation = 150+300+200+150=800 MW150 + 300 + 200 + 150 = 800\text{ MW}. District Q generated 300 MW300\text{ MW} (37.5%37.5\%), which is the highest. District S generated 150 MW150\text{ MW} (18.75%18.75\%). This statement is incorrect.
Determine total generation for 2023 and compare individual district contributions.
3
Evaluate the statement regarding the ratio of total generation in 2021 vs 2024.
Total 2021 generation = 100+200+150+50=500 MW100 + 200 + 150 + 50 = 500\text{ MW}. Total 2024 generation = 200+360+240+200=1000 MW200 + 360 + 240 + 200 = 1000\text{ MW}. Ratio = 500:1000=1:2500 : 1000 = 1 : 2. This statement is correct.
Sum values across all districts for 2021 and 2024, then simplify the resulting ratio.
4
Evaluate the statement regarding District R's annual average generation.
Sum for District R = 150+180+200+240=770 MW150 + 180 + 200 + 240 = 770\text{ MW}. Average = 7704=192.5 MW\frac{770}{4} = 192.5\text{ MW}. This statement is incorrect.
Divide total four-year generation for District R by the number of years (4).

Key Concept

Tabular Data Interpretation: Multi-Step Percentage Growth, Aggregation, Ratio Analysis, and Averages
Estimated Time:1m 30s
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Topics

Tables and Data Grids

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