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Question

The following table shows the percentage (%) of girls who passed in an examination and the percentage (%) of boys who failed in that exam in a school during the six years from 2018 to 2023. Based on the data in the table, answer the questions that follow.

Year-wise Result details of Students
 

YearPercentage of Girls who passedPercentage of Boys who failed
201832%40%
201942%60%
202055%25%
202140%30%
202260%50%
202342%80%

In which of the following years did the performance of girls show maximum improvement as compared to the previous year?

The correct answer is
2022

Analyzing Girls Performance Improvement Year-on-Year

The question asks us to find the year when the performance of girls showed the maximum improvement compared to the previous year. We need to look at the 'Percentage of Girls who passed' column in the provided table and calculate the year-on-year increase.

Student Performance Data

Year Percentage of Girls who passed Percentage of Boys who failed
2018 32% 40%
2019 42% 60%
2020 55% 25%
2021 40% 30%
2022 60% 50%
2023 42% 80%

Calculating Improvement in Girls' Passing Percentage

We will calculate the difference in the percentage of girls passing between consecutive years. An increase in this percentage indicates an improvement in performance.

  • 2018 to 2019: The percentage of girls passing increased from 32% to 42%.
    Improvement = $\text{42\%} - \text{32\%} = \text{10\%}$
  • 2019 to 2020: The percentage of girls passing increased from 42% to 55%.
    Improvement = $\text{55\%} - \text{42\%} = \text{13\%}$
  • 2020 to 2021: The percentage of girls passing decreased from 55% to 40%.
    Change = $\text{40\%} - \text{55\%} = -\text{15\%}$ (This is a decrease, not an improvement)
  • 2021 to 2022: The percentage of girls passing increased from 40% to 60%.
    Improvement = $\text{60\%} - \text{40\%} = \text{20\%}$
  • 2022 to 2023: The percentage of girls passing decreased from 60% to 42%.
    Change = $\text{42\%} - \text{60\%} = -\text{18\%}$ (This is a decrease, not an improvement)

Identifying Maximum Improvement Year

Comparing the calculated improvements:

  • Improvement in 2019: 10%
  • Improvement in 2020: 13%
  • Improvement in 2022: 20%

The largest increase in the percentage of girls passing occurred between 2021 and 2022, which is a 20% improvement. Therefore, the performance of girls showed maximum improvement in the year 2022 compared to the previous year.

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Important Questions from Data Interpretation

  1. The table given below shows the earnings of two persons on five different days.

    Earnings
    Days PQ
    Monday105150
    Tuesday96110
    Wednesday65122
    Thursday115106
    Friday13068
    What is the ratio of total earnings of P to the total earnings of Q? 
  2. The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars.

    ColourTotal toysPercentage of cars
    C150012
    C260015
    C340012.5
    C455010
    C565020
    C645010

    What is the total number of car toys of C2 and C3 taken together?

  3. Study the given graph carefully and answer the question that follows. The graph shows the demand and production of different companies.

    The ratio between the companies having more production than demand and more demand than production is:

  4. Study the given table and answer the question that follows. The given table shows the number of new employees added to different categories of employees in a company for four years and the number of employees from these categories who left the company every year.

     

    During the period between 2001 and 2004, the total number of Technicians who left the Company is what percentage (rounded off to the nearest integer) of the total number of Technicians who joined the Company?

  5. The given pie-chart shows the percentage distribution of 20,000 employees in a company. Study the given chart and answer the question that follows. If 30% of the employees in department D are females, then how many male employees are there in that department?

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