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Given below are two statements 1 and 2, and two conclusions I and II.Statement 1: A company has a total of 20 employees, out of which 12 are male.Statement 2: The company offers health insurance to all its female employees.Conclusion I: At least 8 employees are female.Conclusion II: All male employees are not eligible for health insurance.Based on the above statements and conclusions, which one of the following options is logically CORRECT? Only conclusion I is correctOnly conclusion II is correctEither conclusion I or II is correctNeither conclusion I nor II is correct

Question

Given below are two statements 1 and 2, and two conclusions I and II.Statement 1: A company has a total of 20 employees, out of which 12 are male.Statement 2: The company offers health insurance to all its female employees.Conclusion I: At least 8 employees are female.Conclusion II: All male employees are not eligible for health insurance.Based on the above statements and conclusions, which one of the following options is logically CORRECT? Only conclusion I is correctOnly conclusion II is correctEither conclusion I or II is correctNeither conclusion I nor II is correct

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Solution

Based on the given statements and conclusions:

Statement 1: A company has a total of 20 employees, out of which 12 are male. Statement 2: The company offers health insurance to all its female employees.

Conclusion I: At least 8 employees are female. Conclusion II: All male employees are not eligible for health insurance.

To determine the logical correctness of the conclusions, let's analyze each one:

Conclusion I states that at least 8 employees are female. This conclusion is logically correct because if there are 20 employees in total and 12 of them are male, then the remaining 8 employees must be female. Therefore, conclusion I is correct.

Conclusion II states that all male employees are not eligible for health insurance. This conclusion cannot be logically inferred from the given statements. Statement 2 only mentions that the company offers health insurance to all its female employees, but it does not provide any information about the eligibility of male employees. Therefore, conclusion II is not correct.

Based on the above analysis, the logically correct option is: Only conclusion I is correct.

This problem has been solved

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