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Question

The following table shows the percentage (%) break-up of the employees working in six different universities A, B, C, D, E and F. The total number of employees in these six Universities is also given in the table. Based on the data in the table, answer the questions:

University- Wise Distribution of Employees.

UniversityTotal Number of EmployeesPercentage
MalesFemalesTransgenders
(A)240050%37.5%12.5%
(B)437540%36%24%
(C)262524%56%20%
(D)600035%25%40%
(E)425038%30%32%
(F)136045%40%15%

The number of transgenders is more than 500 in

The correct answer is

Only four universities

Calculate Transgenders in Universities Data Analysis

The question asks us to find out in how many universities the number of transgender employees is more than 500. To answer this, we need to calculate the actual number of transgender employees in each of the six universities based on the provided table.

Here is the data from the table:

University Total Number of Employees Percentage Males Percentage Females Percentage Transgenders
A 2400 50% 37.5% 12.5%
B 4375 40% 36% 24%
C 2625 24% 56% 20%
D 6000 35% 25% 40%
E 4250 38% 30% 32%
F 1360 45% 40% 15%

Step-by-Step Calculation of Transgender Employees

We will calculate the number of transgender employees for each university using the formula:

Number of Transgenders = \(\text{Total Employees} \times \frac{\text{Percentage Transgenders}}{100}\)

  • University A:
  • Total Employees = 2400
  • Percentage Transgenders = 12.5%
  • Number of Transgenders = \(2400 \times \frac{12.5}{100} = 2400 \times 0.125 = 300\)
  • Is 300 > 500? No.
  • University B:
  • Total Employees = 4375
  • Percentage Transgenders = 24%
  • Number of Transgenders = \(4375 \times \frac{24}{100} = 4375 \times 0.24 = 1050\)
  • Is 1050 > 500? Yes.
  • University C:
  • Total Employees = 2625
  • Percentage Transgenders = 20%
  • Number of Transgenders = \(2625 \times \frac{20}{100} = 2625 \times 0.20 = 525\)
  • Is 525 > 500? Yes.
  • University D:
  • Total Employees = 6000
  • Percentage Transgenders = 40%
  • Number of Transgenders = \(6000 \times \frac{40}{100} = 6000 \times 0.40 = 2400\)
  • Is 2400 > 500? Yes.
  • University E:
  • Total Employees = 4250
  • Percentage Transgenders = 32%
  • Number of Transgenders = \(4250 \times \frac{32}{100} = 4250 \times 0.32 = 1360\)
  • Is 1360 > 500? Yes.
  • University F:
  • Total Employees = 1360
  • Percentage Transgenders = 15%
  • Number of Transgenders = \(1360 \times \frac{15}{100} = 1360 \times 0.15 = 204\)
  • Is 204 > 500? No.

Summarizing the Results for Transgender Employees

Let's list the number of transgender employees for each university:

  • University A: 300
  • University B: 1050
  • University C: 525
  • University D: 2400
  • University E: 1360
  • University F: 204

Now, we check in which universities the number of transgender employees is more than 500:

  • University A: 300 (\(\le 500\)) - No
  • University B: 1050 (\(> 500\)) - Yes
  • University C: 525 (\(> 500\)) - Yes
  • University D: 2400 (\(> 500\)) - Yes
  • University E: 1360 (\(> 500\)) - Yes
  • University F: 204 (\(\le 500\)) - No

The universities where the number of transgender employees is more than 500 are B, C, D, and E.

Counting these universities, we find there are 4 universities.

Comparing with Options

The number of universities where the number of transgenders is more than 500 is 4.

Let's look at the options:

  • All the six universities
  • Only three universities
  • Only two universities
  • Only four universities

Our calculated count of 4 universities matches the fourth option.

Revision Table: University Employee Data

University Total Employees % Transgenders Calculated Transgenders More than 500?
A 2400 12.5% 300 No
B 4375 24% 1050 Yes
C 2625 20% 525 Yes
D 6000 40% 2400 Yes
E 4250 32% 1360 Yes
F 1360 15% 204 No

The table clearly shows that universities B, C, D, and E have more than 500 transgender employees, which is a total of 4 universities.

Additional Information: Data Interpretation Skills

This question is a typical example of a data interpretation problem often found in competitive exams. To solve such problems, you need to:

  • Read the question and the table carefully to understand what information is given and what is being asked.
  • Identify the relevant data points needed for the calculation (Total Employees and Percentage Transgenders in this case).
  • Perform the required calculations accurately (percentage calculation here).
  • Compare the results with the given condition (more than 500).
  • Summarize the findings and match them with the options provided.

Practicing different types of data interpretation questions involving tables, charts, and graphs helps improve speed and accuracy in these sections.

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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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