Understanding CET Qualified Candidates Data

The question asks us to find the difference between the number of male candidates who qualified the Common Entrance Test (CET) from City-B in the year 2020 and from City-A in the year 2021. We are given the total number of qualified candidates across all six cities for each year, the percentage distribution of qualified candidates in each city, and the ratio of male to female qualified candidates for each city and year.

Calculating Male Candidates from City-B in 2020

First, let's find the total number of qualified candidates from City-B in 2020. The total number of qualified candidates in 2020 across all cities is 3800. The distribution percentage for City-B in 2020 is 27%.

Total qualified candidates in City-B (2020) = 27% of 3800

\begin{equation*} \text{Total in City-B (2020)} = \frac{27}{100} \times 3800 \end{equation*}

\begin{equation*} \text{Total in City-B (2020)} = 27 \times 38 = 1026 \end{equation*}

Now, we need to find the number of male candidates from City-B in 2020. The ratio of males to females in City-B in 2020 is 11 : 8. The sum of the ratio parts is $11 + 8 = 19$.

Number of male candidates in City-B (2020) = Total qualified in City-B (2020) $\times$ \(\frac{\text{Male ratio part}}{\text{Sum of ratio parts}}\)

\begin{equation*} \text{Males in City-B (2020)} = 1026 \times \frac{11}{19} \end{equation*}

\begin{equation*} \text{Males in City-B (2020)} = 54 \times 11 = 594 \end{equation*}

So, there were 594 male candidates who qualified from City-B in 2020.

Calculating Male Candidates from City-A in 2021

Next, let's find the total number of qualified candidates from City-A in 2021. The total number of qualified candidates in 2021 across all cities is 4600. The distribution percentage for City-A in 2021 is 24%.

Total qualified candidates in City-A (2021) = 24% of 4600

\begin{equation*} \text{Total in City-A (2021)} = \frac{24}{100} \times 4600 \end{equation*}

\begin{equation*} \text{Total in City-A (2021)} = 24 \times 46 = 1104 \end{equation*}

Now, we need to find the number of male candidates from City-A in 2021. The ratio of males to females in City-A in 2021 is 5 : 7. The sum of the ratio parts is $5 + 7 = 12$.

Number of male candidates in City-A (2021) = Total qualified in City-A (2021) $\times$ \(\frac{\text{Male ratio part}}{\text{Sum of ratio parts}}\)

\begin{equation*} \text{Males in City-A (2021)} = 1104 \times \frac{5}{12} \end{equation*}

\begin{equation*} \text{Males in City-A (2021)} = 92 \times 5 = 460 \end{equation*}

So, there were 460 male candidates who qualified from City-A in 2021.

Finding the Difference

The question asks for the difference between the number of male candidates qualified from City-B in 2020 and City-A in 2021.

Difference = Number of male candidates (City-B, 2020) - Number of male candidates (City-A, 2021)

\begin{equation*} \text{Difference} = 594 - 460 \end{equation*}

\begin{equation*} \text{Difference} = 134 \end{equation*}

The difference is 134.

Revision Table: CET Data Analysis

Difference = 594 - 460 = 134

Additional Information: Data Interpretation Skills

Data interpretation questions, like this one involving CET qualified candidates, require careful reading of tables and charts to extract the necessary information. Key steps often include:

• Understanding the total values (e.g., total qualified candidates).
• Interpreting percentages to find values for specific categories (e.g., qualified candidates per city).
• Using ratios to divide a total into constituent parts (e.g., splitting qualified candidates into male and female).
• Performing calculations like addition, subtraction, multiplication, division, or finding differences as required by the question.
• Paying close attention to the specific years and categories requested in the question (e.g., City B in 2020 vs City A in 2021).

Practicing with different types of data representations like tables, bar graphs, pie charts, and line graphs is crucial for improving data interpretation skills for competitive exams.