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Study the following table and answer the question. Number of candidates appeared and qualified in a competitive examination from different states over the years.
| State | 2020 | 2021 | ||
|---|---|---|---|---|
| Appeared | Qualified | Appeared | Qualified | |
| A | 500 | 100 | 600 | 150 |
| B | 600 | 200 | 800 | 250 |
| C | 400 | 50 | 500 | 100 |
| D | 300 | 60 | 400 | 80 |
For which state did the percentage of students qualified did NOT change from 2020 to 2021?
A
B
C
D
A
Calculate the ratio AppearedQualifiedтАЛ for each state in both years; if the fraction remains the same, the percentage is constant.
Data for states A, B, C, D showing number of candidates appeared and qualified in 2020 and 2021.
Percentage=(AppearedQualifiedтАЛ)├Ч100
Calculate the ratio AppearedQualifiedтАЛ for each state in both years; if the fraction remains the same, the percentage is constant.
Confusing 'Appeared' and 'Qualified' columns or failing to simplify the fractions correctly.
Calculate percentages for State A
In 2020: (100/500)*100 = 20%. In 2021: (150/600)*100 = 25%. They are different.
20%юАа=25%
Calculate percentages for State B
In 2020: (200/600)*100 = 33.33%. In 2021: (250/800)*100 = 31.25%. They are different.
33.33%юАа=31.25%
Calculate percentages for State C
In 2020: (50/400)*100 = 12.5%. In 2021: (100/500)*100 = 20%. They are different.
12.5%юАа=20%
Calculate percentages for State D
In 2020: (60/300)*100 = 20%. In 2021: (80/400)*100 = 20%. They are the same.
20%=20%
D is correct because the percentage of students qualified in State D was 20% in both 2020 and 2021.
This type of data interpretation question is common in SSC and Railways; always simplify the fractions to their lowest terms first to save time.
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