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

Options

A30\displaystyle 30
B40\displaystyle 40
C50\displaystyle 50
D10\displaystyle 10
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Correct Answer

✅ Option d — 10\displaystyle 10

All Options:

  • A30\displaystyle 30
  • B40\displaystyle 40
  • C50\displaystyle 50
  • D10\displaystyle 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 200\n - Married Employees = 150\displaystyle 150\n - Therefore, Unmarried Employees = Total−Married=200−150=50\displaystyle \text{Total} - \text{Married} = 200 - 150 = 50\n\n2. **Male counts**:\n - Total Male Employees = 160\displaystyle 160\n - Married Male Employees = 120\displaystyle 120\n - Therefore, Unmarried Male Employees = Total Male−Married Male=160−120=40\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 \text{Total Employees} - \text{Total Male Employees} = 200 - 160 = 40\n - Married Female Employees = Total Married−Married Male=150−120=30\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 \text{Total Female} - \text{Married Female} = 40 - 30 = 10\n - Alternatively, Unmarried Female Employees = Total Unmarried−Unmarried Male=50−40=10\displaystyle \text{Total Unmarried} - \text{Unmarried Male} = 50 - 40 = 10\n\nThus, the number of unmarried female employees is 10\displaystyle 10. This corresponds to Option D.\n\nHence, **Option D** is the correct answer.

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