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Question

Study the given table carefully and answer the questions that follow

The following table presents the details about the number of Assistant Software Engineers (ASE), Junior Software Engineers (JSE) and Senior Software Engineers (SSE) employed in five different Software companies (A-E) during the year 2020. 

Based on the data in the table, answer the question 1-5:

Company-wise Number of Software Engineers 

Software company

Software Engineers (SE)

Assistant

(ASE)

Junior

(JSE)

Senior

(SSE)

A

150

100

150

B

350

100

200

C

200

150

350

D

250

250

450

E

150

250

350

What is the ratio between the number of ASEs in Company-A and Company-C?

The correct answer is 3 ∶ 4

Calculating Ratio of Assistant Software Engineers (ASEs)

The question asks for the ratio between the number of Assistant Software Engineers (ASEs) in Company-A and Company-C based on the provided table.

Understanding the Software Engineers Data Table

The table provides a breakdown of the number of Assistant Software Engineers (ASE), Junior Software Engineers (JSE), and Senior Software Engineers (SSE) for five different software companies (A, B, C, D, E) in the year 2020. To answer this specific question, we only need the number of ASEs for Company A and Company C.

Software company Software Engineers (SE) Assistant(ASE) Junior(JSE) Senior(SSE)
A 150 100 150
B 350 100 200
C 200 150 350
D 250 250 450
E 150 250 350

Extracting Relevant Data for Ratio Calculation

  • Number of ASEs in Company A = 150
  • Number of ASEs in Company C = 200

Calculating the Ratio of ASEs in Company A to Company C

The ratio is the number of ASEs in Company A compared to the number of ASEs in Company C. This can be written as:

Ratio = (ASEs in Company A) : (ASEs in Company C)

Ratio = $150 : 200$

Simplifying the Ratio

To simplify the ratio $150 : 200$, we need to find the greatest common divisor (GCD) of 150 and 200 and divide both numbers by it.

  • Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
  • Factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

The greatest common divisor (GCD) of 150 and 200 is 50.

Now, divide both parts of the ratio by 50:

  • $150 \div 50 = 3$
  • $200 \div 50 = 4$

So, the simplified ratio is $3 : 4$.

Comparing with Options

Let's compare our calculated ratio with the given options:

  1. $5 : 6$
  2. $3 : 4$
  3. $5 : 7$
  4. $2 : 3$

Our calculated ratio $3 : 4$ matches option 2.

Final Answer

The ratio between the number of ASEs in Company-A and Company-C is $3 : 4$.

Revision Table: Software Engineers Data Analysis

Company ASE Count JSE Count SSE Count Key Calculation Result
A 150 100 150 Ratio of ASE (A) to ASE (C): $150 : 200$ Simplified Ratio: $3 : 4$
C 200 150 350

Additional Information: Understanding Ratios

A ratio is a way to compare two quantities. It shows how many times one quantity is contained in another. Ratios can be written using a colon ($:$), the word "to", or as a fraction.

For example, if the ratio of apples to bananas is $2 : 3$, it means for every 2 apples, there are 3 bananas. A ratio should usually be expressed in its simplest form, just like fractions.

To simplify a ratio, divide both parts by their greatest common divisor (GCD). This process is similar to simplifying fractions.

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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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