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Question

Based on the table answer the questions that follow

The following table shows the distribution of women staff across Professional and Managerial grades in a 'Five Star' Corporation.

Distribution of Women Staff 

Professional Grades

Managerial Grades

Legal

Technical 

HR 

Financial 

Other 

Team Manager 

Executive 

Head of Department 

30 

15 

15 

20 

10 

25 

Note: (a) There are five times as many men in Professional Grades as women.

(b) The Corporation employs a total of 1300 staff in both Professional and Managerial Grades

(c) 8% of the total workforce at the Corporation is employed in Professional and Managerial Grades.

Based on the above, answer the question that follows

How many men are in Managerial Grades?

The correct answer is

730

Understanding Staff Distribution in a Five Star Corporation

This problem requires us to interpret data from a table showing the distribution of women staff across different grades in a corporation and use additional notes to calculate the number of men in Managerial Grades.

Calculating Women Staff in Different Grades

First, let's extract the number of women staff from the provided table for both Professional and Managerial Grades.

Grade Type Category Number of Women
Professional Grades Legal 30
Technical 15
HR 15
Financial 20
Other 10
Managerial Grades Team Manager 25
Executive 1
Head of Department 4

Now, let's sum up the number of women in each grade type:

  • Total women in Professional Grades = $30 + 15 + 15 + 20 + 10 = 90$ women.
  • Total women in Managerial Grades = $25 + 1 + 4 = 30$ women.

Using Corporation Notes to Find Staff Numbers

The problem provides additional notes that give us more information about the staff distribution:

  • Note (a): There are five times as many men in Professional Grades as women.
  • Note (b): The Corporation employs a total of 1300 staff in both Professional and Managerial Grades.
  • Note (c): 8% of the total workforce at the Corporation is employed in Professional and Managerial Grades.

Using Note (a), we can calculate the number of men in Professional Grades:

Number of men in Professional Grades = $5 \times (\text{Number of women in Professional Grades})$

Number of men in Professional Grades = $5 \times 90 = 450$ men.

Note (b) tells us the total number of staff (men + women) in both Professional and Managerial Grades is 1300.

Note (c) provides information about the total workforce, but Note (b) directly gives us the total staff specifically in Professional and Managerial Grades, which is what we need for this calculation. So, Note (c) is not required to answer this specific question.

Determining the Number of Men in Managerial Grades

We know the total staff in Professional and Managerial Grades is the sum of women and men in both categories:

Total Staff (Professional & Managerial) = Women (Professional) + Men (Professional) + Women (Managerial) + Men (Managerial)

We have the following values:

  • Total Staff (Professional & Managerial) = $1300$ (from Note b)
  • Women (Professional) = $90$ (calculated from table)
  • Men (Professional) = $450$ (calculated using Note a)
  • Women (Managerial) = $30$ (calculated from table)
  • Men (Managerial) = ? (this is what we need to find)

Let's plug the known values into the equation:

$1300 = 90 + 450 + 30 + \text{Men (Managerial)}$

$1300 = (90 + 450 + 30) + \text{Men (Managerial)}$

$1300 = 570 + \text{Men (Managerial)}$

Now, solve for Men (Managerial):

$\text{Men (Managerial)} = 1300 - 570$

$\text{Men (Managerial)} = 730$

Therefore, there are 730 men in Managerial Grades.

Revision Table: Key Staff Calculation Formulas

Calculation Formula/Method Value
Total Women in Professional Grades Sum from table: Legal + Technical + HR + Financial + Other 90
Total Women in Managerial Grades Sum from table: Team Manager + Executive + Head of Department 30
Total Men in Professional Grades $5 \times (\text{Total Women in Professional Grades})$ 450
Total Staff in Professional & Managerial Grades Given by Note (b) 1300
Total Staff = Women Prof + Men Prof + Women Man + Men Man Rearrange to find Men Man: Total Staff - Women Prof - Men Prof - Women Man $1300 - 90 - 450 - 30 = 730$

Additional Information: Data Interpretation Concepts

Data interpretation questions often require you to extract information from tables or charts and use additional notes or conditions to perform calculations. It's important to carefully read all the given information and identify which pieces are relevant to the specific question being asked. In this case, understanding the total staff count in the relevant grades (Professional and Managerial) was key, as provided by Note (b). While Note (c) gives a percentage of the total workforce, Note (b) gives the direct count for the Professional and Managerial grades, making it more useful here.

Break down the problem into smaller steps:

  • Identify the known values from the table and notes.
  • Determine what value needs to be calculated.
  • Set up the appropriate equations or formulas based on the relationships given in the notes.
  • Perform the calculations step-by-step to arrive at the solution.

Always double-check your sums and calculations to avoid errors.

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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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