Question:
Two statements followed by two conclusions are given. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follow from the statements.
Statements:
1. Mathematics is essential for all subjects.
2. Statistics is applied in Economics.
Conclusions:
I. Mathematics is not needed in Sociology.
II. Economics is applied in Statistics.
Two statements followed by two conclusions are given. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follow from the statements.
Statements:
1. Mathematics is essential for all subjects.
2. Statistics is applied in Economics.
Conclusions: I. Mathematics is not needed in Sociology.
II. Economics is applied in Statistics.
2. Statistics is applied in Economics.
Conclusions: I. Mathematics is not needed in Sociology.
II. Economics is applied in Statistics.
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In reasoning questions, carefully check if conclusions are directly supported or contradicted by statements before choosing the correct option.
Updated On: Jun 14, 2025
- only conclusion I follows
- only conclusion II follows
- neither conclusion I nor Conclusion II follows
- both conclusions I and II follow
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The Correct Option is C
Solution and Explanation
Step 1: Analyze Statement 1 and Conclusion I
Statement 1 says Mathematics is essential for all subjects, meaning every subject requires mathematics.
Conclusion I says Mathematics is not needed in Sociology, which contradicts Statement 1.
Since the conclusion contradicts the true statement, conclusion I does not follow.
Step 2: Analyze Statement 2 and Conclusion II
Statement 2 says Statistics is applied in Economics, meaning economics uses statistics.
Conclusion II says Economics is applied in Statistics, which reverses the relationship and is not implied by the statement.
So, conclusion II does not follow either.
Step 3: Final decision
Neither conclusion I nor conclusion II logically follows from the given statements.
Statement 1 says Mathematics is essential for all subjects, meaning every subject requires mathematics.
Conclusion I says Mathematics is not needed in Sociology, which contradicts Statement 1.
Since the conclusion contradicts the true statement, conclusion I does not follow.
Step 2: Analyze Statement 2 and Conclusion II
Statement 2 says Statistics is applied in Economics, meaning economics uses statistics.
Conclusion II says Economics is applied in Statistics, which reverses the relationship and is not implied by the statement.
So, conclusion II does not follow either.
Step 3: Final decision
Neither conclusion I nor conclusion II logically follows from the given statements.
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