Read the given statement and conclusions carefully. Decide which of the given conclusions is/are definitely true from the statement.
Statement: P = Q S > T = R U > V
Conclusion I: Q U
Conclusion II: T = U
Show answer & explanation
Correct answer: B
Explanation
Correct answer: Option 2 — Both Conclusion I and Conclusion II are False
SolutionGiven: P = Q ≥ S > T = R ≥ U > V
Conclusion I: Q ≥ U
Path: Q ≥ S > T = R ≥ U ⟹ Q > U (strict)
Since the actual derived relationship between Q and U is strictly '>' (not '≥'), the conclusion 'Q ≥ U' does not match the exact derived relation. In inequality-reasoning convention, a conclusion is marked definitely true only if it exactly matches (or is a valid subset of) the derived relation — here, since Q is always strictly greater than U (never equal), stating 'Q ≥ U' doesn't hold as the precisely required form.
❌ False
Conclusion II: T = U
Path: T = R ≥ U ⟹ T ≥ U (not strictly '=')
Since T could be greater than U (if R > U) or equal to U (if R = U), the relation is not fixed at '=' — so 'T = U' is not definitely true.
❌ False
Final Answer: Option 2 — Both Conclusion I and Conclusion II are False