University Entrance Exam Data Analysis: 2017 vs 2018 Qualified Students

This question asks us to find the difference between the total number of students who qualified in the University Entrance examination across four states (A, B, C, D) in the year 2017 and the year 2018.

The data table provides the number of candidates appeared (N in lakhs) and the percentage (P%) of candidates who cleared the exam.

To find the number of qualified students for each state and year, we use the formula: \( \text{Qualified Students} = \text{N (in lakhs)} \times \frac{\text{P}(\%)}{100} \times 1,00,000 \)

Step 1: Calculate Total Qualified Students in 2017

We calculate the number of qualified students for each state in 2017:

• State A: \(2.02 \times \frac{44}{100} \times 1,00,000 = 2.02 \times 0.44 \times 1,00,000 = 0.8888 \times 1,00,000 = 88,880\)
• State B: \(1.72 \times \frac{41}{100} \times 1,00,000 = 1.72 \times 0.41 \times 1,00,000 = 0.7052 \times 1,00,000 = 70,520\)
• State C: \(2.45 \times \frac{36}{100} \times 1,00,000 = 2.45 \times 0.36 \times 1,00,000 = 0.8820 \times 1,00,000 = 88,200\)
• State D: \(3.13 \times \frac{32}{100} \times 1,00,000 = 3.13 \times 0.32 \times 1,00,000 = 1.0016 \times 1,00,000 = 1,00,160\)

Summing these values gives the total qualified students in 2017:

\(\text{Total Qualified (2017)} = 88,880 + 70,520 + 88,200 + 1,00,160 = 347,760\)

Step 2: Calculate Total Qualified Students in 2018

Now, let's calculate the number of qualified students for each state in 2018:

• State A: \(1.98 \times \frac{39}{100} \times 1,00,000 = 1.98 \times 0.39 \times 1,00,000 = 0.7722 \times 1,00,000 = 77,220\)
• State B: \(2.02 \times \frac{37}{100} \times 1,00,000 = 2.02 \times 0.37 \times 1,00,000 = 0.7474 \times 1,00,000 = 74,740\)
• State C: \(2.20 \times \frac{33}{100} \times 1,00,000 = 2.20 \times 0.33 \times 1,00,000 = 0.7260 \times 1,00,000 = 72,600\)
• State D: \(2.93 \times \frac{31}{100} \times 1,00,000 = 2.93 \times 0.31 \times 1,00,000 = 0.9083 \times 1,00,000 = 90,830\)

Summing these values gives the total qualified students in 2018:

\(\text{Total Qualified (2018)} = 77,220 + 74,740 + 72,600 + 90,830 = 315,390\)

Step 3: Calculate the Difference

The difference between the total number of students who qualified in 2017 and 2018 is:

\(\text{Difference} = \text{Total Qualified (2017)} - \text{Total Qualified (2018)}\)

\(\text{Difference} = 347,760 - 315,390\)

\(\text{Difference} = 32,370\)

Answer

Based on the calculations using the data provided in the table, the difference in the total number of qualified students between 2017 and 2018 is 32,370.

The options provided are:

• 31750
• 31880
• 32220
• 32340

The correct answer option text provided is 32340.

Revision Table: University Exam Qualified Students

Additional Information: Understanding Data Tables in Exams

Data interpretation questions often use tables to present information concisely. To effectively solve these problems, follow these tips:

• Carefully read the question to understand exactly what is being asked (e.g., total, average, difference, ratio, percentage change).
• Examine the table headings and units (e.g., lakhs, percentage) to understand the data provided.
• Identify the specific rows and columns relevant to the question.
• Break down complex calculations into smaller, manageable steps.
• Pay close attention to percentages and how they relate to the base number (N in this case).
• Double-check calculations to minimize errors.
• Understand what 'lakhs' means (one lakh = 100,000).

Practice with various types of data tables helps improve speed and accuracy in competitive exams.