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
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%
Understanding Exam Results Ratio Calculation
This problem requires calculating the ratio between the number of boys who passed and the number of girls who failed in a specific year (2020), using the provided examination data.
Exam Data Table for Reference
The table below shows the percentage (%) of girls passing and the percentage (%) of boys failing over six years.
| 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 the Number of Boys Passed in 2020
We are given the following information for the year 2020:
- Total number of boys appeared = 800
- Percentage of boys who failed = 25%
To find the number of boys who passed, we first need to find the percentage of boys who passed:
Percentage of boys passed = $100\% - \text{Percentage of boys who failed}$
Percentage of boys passed = $100\% - 25\% = 75\%$
Now, we calculate the total number of boys who passed:
Number of boys passed = $75\%$ of $800$
Number of boys passed = $\frac{75}{100} \times 800$
Number of boys passed = $0.75 \times 800 = 600$
Calculating the Number of Girls Failed in 2020
We are given the following information for the year 2020:
- Total number of girls appeared = 700
- Percentage of girls who passed = 55%
To find the number of girls who failed, we first calculate the percentage of girls who failed:
Percentage of girls failed = $100\% - \text{Percentage of girls who passed}$
Percentage of girls failed = $100\% - 55\% = 45\%$
Now, we calculate the total number of girls who failed:
Number of girls failed = $45\%$ of $700$
Number of girls failed = $\frac{45}{100} \times 700$
Number of girls failed = $0.45 \times 700 = 315$
Determining the Ratio
The question asks for the ratio of the total number of boys who passed to the total number of girls who failed in 2020.
Ratio = (Number of boys passed) : (Number of girls failed)
Ratio = $600 : 315$
To simplify the ratio, we find the greatest common divisor (GCD) of 600 and 315.
- Prime factorization of 600: $2^3 \times 3 \times 5^2$
- Prime factorization of 315: $3^2 \times 5 \times 7$
- GCD(600, 315) = $3 \times 5 = 15$
Now, we divide both parts of the ratio by the GCD (15):
Simplified Ratio = $\frac{600}{15} : \frac{315}{15}$
Simplified Ratio = $40 : 21$
Final Answer Explanation
The calculated ratio of the total number of boys who passed to the total number of girls who failed in 2020 is 40:21.
Important Questions from Data Interpretation
The table given below shows the earnings of two persons on five different days.
What is the ratio of total earnings of P to the total earnings of Q?Earnings Days P Q Monday 105 150 Tuesday 96 110 Wednesday 65 122 Thursday 115 106 Friday 130 68 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.
Colour Total toys Percentage of cars C1 500 12 C2 600 15 C3 400 12.5 C4 550 10 C5 650 20 C6 450 10 What is the total number of car toys of C2 and C3 taken together?
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:
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?
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?
