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Question

Study the given table carefully and answer the questions that follow:

The given table has the number of candidates who appeared and qualified for an university entrance examination (in thousands) in 5 different years. (A - Appeared, Q - Qualified).

Year

BSc

BA

MSc

MA

A

Q

A

Q

A

Q

A

Q

2016

3.4

1.2

6.4

2.3

2.8

1.3

4.8

2.4

2017

3.6

1.8

6.6

2.5

2.4

1.1

4.7

2.3

2018

4.2

2.1

7.2

2.8

2.2

1.2

4.6

2.5

2019

4.8

2.3

6.8

2.6

2.5

1.2

4.9

2.7

2020

3.8

1.9

7.4

3.2

2.6

1.3

5.2

3.2

Find out the difference between non-qualified candidates from the years 2018 and 2019 (for all categories)

The correct answer is

600

Understanding the University Entrance Exam Data

The question asks us to analyze data from a table showing the number of candidates who appeared and qualified for a university entrance examination over five years (2016 to 2020) across four different categories: BSc, BA, MSc, and MA. The numbers are given in thousands.

We need to find the difference in the total number of non-qualified candidates between the years 2018 and 2019. Non-qualified candidates in any year for a specific category are calculated by subtracting the number of qualified candidates from the number of appeared candidates.

Year BSc BA MSc MA
A Q A Q A Q A Q
2016 3.4 1.2 6.4 2.3 2.8 1.3 4.8 2.4
2017 3.6 1.8 6.6 2.5 2.4 1.1 4.7 2.3
2018 4.2 2.1 7.2 2.8 2.2 1.2 4.6 2.5
2019 4.8 2.3 6.8 2.6 2.5 1.2 4.9 2.7
2020 3.8 1.9 7.4 3.2 2.6 1.3 5.2 3.2

Calculating Non-Qualified Candidates

The number of non-qualified candidates for a specific category in a given year is found using the formula:

$$ \text{Non-qualified} = \text{Appeared} - \text{Qualified} $$

Let's calculate the number of non-qualified candidates for each category in the years 2018 and 2019.

Non-Qualified Candidates in 2018 (in thousands)

  • BSc: $$ 4.2 - 2.1 = 2.1 $$
  • BA: $$ 7.2 - 2.8 = 4.4 $$
  • MSc: $$ 2.2 - 1.2 = 1.0 $$
  • MA: $$ 4.6 - 2.5 = 2.1 $$

Total non-qualified candidates in 2018:

$$ 2.1 + 4.4 + 1.0 + 2.1 = 9.6 \text{ thousand} $$

Non-Qualified Candidates in 2019 (in thousands)

  • BSc: $$ 4.8 - 2.3 = 2.5 $$
  • BA: $$ 6.8 - 2.6 = 4.2 $$
  • MSc: $$ 2.5 - 1.2 = 1.3 $$
  • MA: $$ 4.9 - 2.7 = 2.2 $$

Total non-qualified candidates in 2019:

$$ 2.5 + 4.2 + 1.3 + 2.2 = 10.2 \text{ thousand} $$

Finding the Difference

Now, we need to find the difference between the total non-qualified candidates in 2019 and 2018.

Difference $$ = \text{Total Non-qualified 2019} - \text{Total Non-qualified 2018} $$

Difference $$ = 10.2 - 9.6 = 0.6 \text{ thousand} $$

Since the data is in thousands, we convert 0.6 thousand to the actual number:

$$ 0.6 \times 1000 = 600 $$

So, the difference between non-qualified candidates from the years 2018 and 2019 for all categories is 600.

Revision Table - Entrance Exam Data Analysis

Year Category Appeared (A, '000) Qualified (Q, '000) Non-qualified (A-Q, '000)
2018 BSc 4.2 2.1 2.1
BA 7.2 2.8 4.4
MSc 2.2 1.2 1.0
MA 4.6 2.5 2.1
Total Non-qualified 2018 ('000) 9.6
2019 BSc 4.8 2.3 2.5
BA 6.8 2.6 4.2
MSc 2.5 1.2 1.3
MA 4.9 2.7 2.2
Total Non-qualified 2019 ('000) 10.2
Difference (2019 - 2018) ('000) 0.6
Difference (Actual Number) 600

Additional Information - Data Interpretation Tips

When tackling data interpretation questions involving tables, here are some useful tips:

  • Read the Question Carefully: Understand exactly what is being asked (e.g., total, difference, ratio, percentage, specific years, specific categories).
  • Understand the Units: Pay attention to whether the data is in units, thousands, lakhs, millions, percentages, etc., and convert as needed for the final answer.
  • Scan the Table: Get a general sense of the data, the rows, and the columns.
  • Identify Relevant Data: Highlight or note down the specific numbers needed for the calculation based on the question.
  • Break Down Complex Calculations: If the question involves multiple steps (like calculating non-qualified for each category and then summing), break it down into smaller, manageable steps.
  • Be Careful with Arithmetic: Double-check your additions, subtractions, multiplications, and divisions.
  • Check Options: Look at the options given. This can sometimes help you estimate or verify your result.

In this problem, identifying 'non-qualified candidates' and focusing on the years 2018 and 2019 for 'all categories' were key steps.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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