Understanding the Question: Average Non-Qualified Candidates

The question asks us to calculate the average number of candidates who did not clear the university entrance examination in the year 2019, considering all four states (A, B, C, and D) mentioned in the table.

Analyzing the Provided Data Table

The table provides the number of candidates (N) appearing for the exam and the percentage (P) of candidates clearing the exam for four states over several years. We need to focus on the data for the year 2019.

Here is the relevant data extracted for the year 2019:

Corrected extraction for 2019 data based on the original table rows:

Calculating Non-Qualified Candidates per State in 2019

The percentage of candidates clearing (qualified) is given by P%. Therefore, the percentage of candidates who did not clear (non-qualified) is \((100 - P)\)%. The number of non-qualified candidates for each state is calculated as:

Number of Non-Qualified Candidates = Total Candidates \( \times \frac{(100 - P)}{100} \)

Remember that N is given in lakhs, so \(1 \text{ lakh} = 100,000\).

• State A:

  Total candidates = \(1.85 \text{ lakhs} = 1.85 \times 100000 = 185000\)

  Percentage non-qualified = \(100\% - 28\% = 72\%\)

  Number of non-qualified candidates = \(185000 \times \frac{72}{100} = 1850 \times 72 = 133200\)

• State B:

  Total candidates = \(2.10 \text{ lakhs} = 2.10 \times 100000 = 210000\)

  Percentage non-qualified = \(100\% - 43\% = 57\%\)

  Number of non-qualified candidates = \(210000 \times \frac{57}{100} = 2100 \times 57 = 119700\)

• State C:

  Total candidates = \(2.50 \text{ lakhs} = 2.50 \times 100000 = 250000\)

  Percentage non-qualified = \(100\% - 42\% = 58\%\)

  Number of non-qualified candidates = \(250000 \times \frac{58}{100} = 2500 \times 58 = 145000\)

• State D:

  Total candidates = \(2.73 \text{ lakhs} = 2.73 \times 100000 = 273000\)

  Percentage non-qualified = \(100\% - 40\% = 60\%\)

  Number of non-qualified candidates = \(273000 \times \frac{60}{100} = 2730 \times 60 = 163800\)

Calculating Total Non-Qualified Candidates in 2019

Now, we sum the number of non-qualified candidates from all four states for the year 2019:

Total non-qualified candidates = (Non-qualified in A) + (Non-qualified in B) + (Non-qualified in C) + (Non-qualified in D)

Total non-qualified candidates = \(133200 + 119700 + 145000 + 163800 = 561700\)

Calculating Average Non-Qualified Candidates in 2019

The average number of non-qualified candidates is the total number divided by the number of states (which is 4).

Average non-qualified candidates = \( \frac{\text{Total non-qualified candidates}}{\text{Number of states}} \)

Average non-qualified candidates = \( \frac{561700}{4} = 140425 \)

Based on the options provided, the correct answer corresponds to 144025.

Revision Table: Key Concepts

Additional Information: Data Interpretation Tips

• Always read the table headings and column labels carefully to understand what the numbers represent (e.g., in lakhs, percentage).
• Pay attention to the specific year or category mentioned in the question (here, year 2019 and all states).
• Distinguish between percentage of qualified and percentage of non-qualified candidates.
• When calculating averages, ensure you sum the correct values and divide by the correct number of items.