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In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer. Among five sticks, V, H, Y, D and N, each having a different height, which stick is the shortest? (I) N is taller than Y. (II) D is taller than N. V is only shorter than one stick.
Both statements I and II together are NOT sufficient to answer the question
Data in Statement II alone is sufficient to answer the question while data in statement I is not
Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question.
Data in Statement I alone is sufficient to answer the question while data in statement II is not
Both statements I and II together are NOT sufficient to answer the question
Map all known relations into a sequence and identify if the shortest element remains ambiguous among the remaining candidates.
Map all known relations into a sequence and identify if the shortest element remains ambiguous among the remaining candidates.
Analyze Statement I
Statement I says N > Y. This gives us the partial sequence N > Y. It does not provide information about V, H, or D, so it is insufficient.
Analyze Statement II
Statement II says D > N and V is shorter than only one stick. This means V is the 2nd tallest. We have D > N and the knowledge of V. Combined with I (N > Y), we have D > N > Y and V is 2nd tallest.
Combine and Evaluate
Combined, we know: D > N > Y and V is 2nd tallest. The sticks are V, H, Y, D, N. If V is 2nd tallest, the arrangement could be (D > V > N > Y > H) or (D > V > H > N > Y) or (H > V > D > N > Y). Since H's position is never constrained relative to the others, Y or H could be the shortest. Therefore, the data remains insufficient.
B: Incorrect because statement II alone leaves the position of H and Y relative to others unknown. C: Incorrect because even after combining both, the relative position of H and Y remains uncertain, preventing identification of the shortest stick. D: Incorrect because statement I alone provides no information about V, H, or D.
A is correct because even after combining all statements, the positions of H and Y remain interchangeable in the sequence, making it impossible to determine the shortest stick.
In ranking puzzles, if a variable (like H) is not mentioned in any relationship, it is almost impossible to determine its position relative to others, leading to insufficient data.
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