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Question: Among five boxes P, Q, R, S, and T of different weights, which is the heaviest? Statement I: P is heavier than Q but lighter than R. T is the heaviest. Statement II: S is lighter than P but heavier than Q.
I alone is sufficient
II alone is sufficient
Both I and II are sufficient
Neither I nor II is sufficient
I alone is sufficient
Identify the target variable (heaviest box) immediately; if one statement explicitly names the entity or defines the hierarchy, it is sufficient.
Identify the target variable (heaviest box) immediately; if one statement explicitly names the entity or defines the hierarchy, it is sufficient.
Analyze Statement I
Statement I states P is heavier than Q but lighter than R (R > P > Q) and explicitly declares that T is the heaviest. Since T is identified as the heaviest among all boxes, this statement is sufficient to answer the question.
Analyze Statement II
Statement II provides the relationship S is lighter than P but heavier than Q (P > S > Q). This does not provide information about boxes R or T, making it impossible to determine the overall heaviest box.
B is wrong because Statement II does not mention T or R; C is wrong because Statement I alone is already sufficient; D is wrong because Statement I provides the answer.
A is correct because Statement I explicitly declares that T is the heaviest box, which directly answers the question without needing any other information.
In Data Sufficiency, if one statement directly answers the question asked, always select that statement independently and avoid combining it with others to save time.
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