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Four employees тАУ A, B, C, and D тАУ have different salaries. Who earns the highest salary? (I) A earns more than B but less than C. (II) D earns more than A but less than C.
Data in (I) alone is sufficient
Data in (II) alone is sufficient
Data in both (I) and (II) together are not sufficient
Data in both (I) and (II) together are sufficient
Data in both (I) and (II) together are not sufficient
Always arrange the given variables on a number line; if the highest position remains shared by two people after merging both statements, the data is insufficient.
Always arrange the given variables on a number line; if the highest position remains shared by two people after merging both statements, the data is insufficient.
Analyze Statement I
Given A earns more than B but less than C (C > A > B). Here, C is the highest known so far, but D is unknown.
Analyze Statement II
Given D earns more than A but less than C (C > D > A). Here, C is the highest known so far, but B is unknown.
Combine Statements I and II
Combining them, we get C > A > B and C > D > A. Therefore, the combined order is C > D > A > B. In this specific sequence, C is definitely the highest.
A: Insufficient because Statement I does not include D. B: Insufficient because Statement II does not include B. D: Incorrect because the combined data is sufficient to determine that C is the highest.
D is correct because combining both statements establishes the definitive ranking order C > D > A > B, identifying C as the highest earner.
In Data Sufficiency, never assume a variable is missing if the combined statements provide a clear chain of comparison; always verify the full hierarchy first.
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