Statistical Representation of DataMCQPYQ July 21Question 2767 of 295
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There are $200$ employees in an office in which $150$ were married. Total male employees were $160$ out of which $120$ were married. What was the number of female unmarried employees?

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option d — $10$

All Options:

  • A$30$
  • B$40$
  • C$50$
  • D$10$

Detailed Solution & Explanation

We can organize the given information in a two-way contingency table based on gender (Male/Female) and marital status (Married/Unmarried):\n\n1. **Total counts**:\n - Total Employees = $200\displaystyle \n - Married Employees = $150\n - Therefore, Unmarried Employees = Total−Married=200−150=50\displaystyle Total−Married=200−150=50\displaystyle \text{Total} - \text{Married} = 200 - 150 = 50\n\n2. **Male counts**:\n - Total Male Employees = $160\displaystyle \n - Married Male Employees = $120\n - Therefore, Unmarried Male Employees = Total Male−Married Male=160−120=40\displaystyle \displaystyle \text{Total Male} - \text{Married Male} = 160 - 120 = 40\n\n3. **Female counts**:\n - Total Female Employees = Total Employees−Total Male Employees=200−160=40\displaystyle \displaystyle \text{Total Employees} - \text{Total Male Employees} = 200 - 160 = 40\n - Married Female Employees = Total Married−Married Male=150−120=30\displaystyle \displaystyle \text{Total Married} - \text{Married Male} = 150 - 120 = 30\n\n4. **Unmarried Female counts**:\n - Unmarried Female Employees = Total Female−Married Female=40−30=10\displaystyle \displaystyle \text{Total Female} - \text{Married Female} = 40 - 30 = 10\n - Alternatively, Unmarried Female Employees = Total Unmarried−Unmarried Male=50−40=10\displaystyle \displaystyle \text{Total Unmarried} - \text{Unmarried Male} = 50 - 40 = 10\n\nThus, the number of unmarried female employees is $10$. This corresponds to Option D.\n\nHence, **Option D** is the correct answer.

About This Chapter: Statistical Representation of Data

Paper

Paper 3: Quantitative Aptitude

Weightage

2-4 Marks

Key Topics

Data, Frequency Distribution, Graphical Representation

This chapter covers Data, Frequency Distribution, Graphical Representation and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 2-4 Marks weightage. Focus on understanding core concepts rather than memorizing.

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