Three statements are followed by two conclusions numbered (I) and (II). Find…
2023
Three statements are followed by two conclusions numbered (I) and (II). Find out which conclusion(s) is/are true based on the given statements. Statements : P < B G = T ≤ P Q ≥ B Conclusions : (I) G < P (II) Q > P
Answer: B. Only (II) is true — Given: P < B; G = T ≤ P (which means G = T and T ≤ P); Q ≥ B. Analysis of conclusion (I): Is G < P? From G = T ≤ P we can only conclude G ≤ P. Equality is…
- A.
Only (I) is true
- B.
Only (II) is true
- C.
Both (I) and (II) are true
- D.
Neither (I) nor (II) is true
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Correct answer: B
Given: P < B; G = T ≤ P (which means G = T and T ≤ P); Q ≥ B. Analysis of conclusion (I): Is G < P? From G = T ≤ P we can only conclude G ≤ P. Equality is possible (G = P) if T = P, so the strict inequality G < P is not guaranteed. Example: take P = 5, B = 6, T = 5 ⇒ G = 5 = P, so G is not less than P. Analysis of conclusion (II): Is Q > P? Since P < B and Q ≥ B, we have Q ≥ B > P, which implies Q > P must be true. Final answer: Only the second conclusion is true; the first conclusion does not necessarily follow from the given statements.