Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, decide which of the given conclusions logically follow(s) from the statements. Statements: 1. The monthly income of a family is ₹4,00,000. 2. Out of this, ₹2,40,000 is earned by the family members who work in the IT sector. Conclusions: I. 60% of the family members work in the IT sector. II. The male members of the family earn more than the female members of the family.
Logical Reasoning Analysis
We need to determine if the conclusions logically follow from the given statements about a family's income.
Statement 1: Total monthly income = ₹4,00,000.
Statement 2: Income earned by family members in the IT sector = ₹2,40,000.
Evaluating Conclusion I
Conclusion I proposes: "60% of the family members work in the IT sector."
- The statements provide the total income and the income generated by IT sector workers.
- Crucially, the statements do not specify the total number of family members or the exact number of members working in the IT sector.
- Without knowing the number of individuals involved, we cannot calculate the percentage of members in the IT sector. The ₹2,40,000 could be earned by one person or multiple people.
- Therefore, this conclusion is not logically supported by the given information.
Evaluating Conclusion II
Conclusion II suggests: "The male members of the family earn more than the female members of the family."
- The provided statements give total income figures and IT sector income.
- There is no information whatsoever about the gender distribution within the family or the specific income contributions of male versus female members.
- Any assertion about relative earnings based on gender cannot be logically inferred.
- Therefore, this conclusion is also not logically supported.
Final Determination
Based on the analysis, neither Conclusion I nor Conclusion II can be logically derived from the given statements.
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