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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%

If in the year 2018, the total number of boys who appeared in the exam is 600, then what is the percentage difference between the percentage of boys who passed and the percentage of girls who passed in the exam?

The correct answer is
28%

Analyze Year 2018 Exam Results

We are given the performance data for the year 2018. The question asks for the percentage difference between the percentage of boys who passed and the percentage of girls who passed.

Percentage of Girls Who Passed in 2018

From the provided table, the percentage of girls who passed the examination in the year 2018 is directly given as 32%.

Percentage of Boys Who Failed in 2018

The table shows that the percentage of boys who failed the examination in 2018 is 40%.

Calculate Percentage of Boys Who Passed in 2018

To find the percentage of boys who passed, we subtract the percentage of boys who failed from the total percentage (100%).

Using LaTeX for the calculation:

Percentage of Boys Passed = $100\% - \text{Percentage of Boys Failed}$

Percentage of Boys Passed = $100\% - 40\% = 60\%$

So, 60% of the boys passed the examination in 2018.

Calculate Percentage Difference

The question asks for the percentage difference between the percentage of boys who passed and the percentage of girls who passed in 2018.

The percentage difference is the absolute difference between these two values.

Using LaTeX for the calculation:

Percentage Difference = $|\text{Percentage of Boys Passed} - \text{Percentage of Girls Passed}| $

Percentage Difference = $|60\% - 32\%| $

Percentage Difference = $28\% $

Final Result

The percentage difference between the percentage of boys who passed and the percentage of girls who passed in the year 2018 is 28%.

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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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