Read the given statement and conclusions carefully. Decide which of the given conclusions is/are definitely true from the statement. Statement: P = Q $\geq$ S > T = R $\geq$ U > V Conclusion I: Q $\geq$ U Conclusion II: T = U
Logical Reasoning: Statement and Conclusions
Statement Analysis
The given statement establishes a series of relationships between variables:
- P = Q (P is equal to Q)
- Q $\geq$ S (Q is greater than or equal to S)
- S > T (S is strictly greater than T)
- T = R (T is equal to R)
- R $\geq$ U (R is greater than or equal to U)
- U > V (U is strictly greater than V)
Combining these, we get the sequence: P = Q $\geq$ S > T = R $\geq$ U > V.
Conclusion Evaluation
Conclusion I: Q $\geq$ U
From the statement, we can trace the relationship from Q to U:
Q $\geq$ S > T = R $\geq$ U
This chain directly shows that Q is greater than or equal to U. Therefore, Conclusion I is definitely true.
Conclusion II: T = U
From the statement, we have the relationship:
T = R $\geq$ U
This indicates that T is equal to R, and R is greater than or equal to U. This means T could be equal to U (if R = U), or T could be greater than U (if R > U). Since T is not *always* equal to U, this conclusion is not definitely true.
Final Decision
Based on the analysis, only Conclusion I is definitely true from the given statement.
Similar Questions
Read the following statement carefully and identify the conclusion that follows.
Statement:
All pens are books. Some books are novels.
Conclusions:
I. Some pens are novels.
II. All novels are books.
Read the following statement carefully and identify the conclusion that follows.
Statement: No tables are chairs. All chairs are wooden.
Conclusions:
I. Some wooden things are not tables.
II. No tables are wooden.Read the following statement carefully and identify the conclusion that follows.
Statement: All men are intelligent. No intelligent person is poor. Some poor are hardworking.
Conclusions: I. Some men are hardworking. II. No man is poor.
Read the following statement carefully and identify the conclusion that follows.
Statement:
All smartphones are gadgets. Some gadgets are expensive. All expensive things are insured.
Conclusions:
I. Some gadgets are insured.
II. Some smartphones are expensive.
Read the following statement carefully and identify the conclusion that follows.
Statement: All lions are wild. Some wild are dangerous. No dangerous is tame.
Conclusions:
I. Some wild are not tame.
II. Some lions are not tame.
Important Questions from Statement and Conclusions
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements.
Statements:
All cats are bills.
No snakes are bills.
All snakes are dolls.
Conclusions:
(I) Some dolls are not cats.
(II) No bills are dolls.- Statement: Resilience supports recovery from setbacks, but without learning from mistakes, progress may stall.
Conclusion I: Resilience alone may not ensure progress.
Conclusion II: Learning from mistakes guarantees recovery.
Which conclusion follows? - Read the following statement carefully and identify the conclusion that follows.
Statement: "Government should provide free education to all children up to the age of 14."
Conclusions:
I. Education is a basic right of every child.
II. A large number of children are deprived of basic education. - Statement: Ethical behavior fosters trust, but profitability often relies on operational efficiency as well.
Conclusion I: Ethical behavior is not sufficient for profitability.
Conclusion II: Operational efficiency is required for trust.
Which conclusion follows? - Read the following statement carefully and identify the conclusion that follows.
Statement: "Online learning has increased student participation."
Conclusions:
I. Students did not participate in physical classes.
II. Technology helps in engaging students.
