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B, C, E, F and H have different heights. B is taller than C. Only E is shorter than F. H is taller than B. How many people are taller than C?
Two
One
Four
Three
Two
Map the conditions vertically. 'Only E is shorter than F' implies F is the 2nd shortest, making E the shortest (1st). Then fit the taller ones above.
Map the conditions vertically. 'Only E is shorter than F' implies F is the 2nd shortest, making E the shortest (1st). Then fit the taller ones above.
Analyze Shortest Constraints
The condition 'Only E is shorter than F' fixes the last two positions: E is the shortest, and F is the second shortest. Rank: E < F <... (others).
Analyze Relative Heights
Given B > C and H > B, we can chain them as H > B > C. Since F and E are shorter than everyone else (C, B, H), the order is H > B > C > F > E.
Determine Count Taller than C
Looking at the order H, B, C, F, E: The people taller than C are H and B. That is a total of 2 people.
B: Incorrect, there are exactly two people taller than C, not one. C: Incorrect, there are not four people taller than C. D: Incorrect, there are not three people taller than C.
A is correct because the hierarchy H > B > C > F > E shows exactly two individuals (H and B) are taller than C.
In ranking puzzles, always place the 'limiting' members (like 'Only X is shorter') first to establish your anchor points before placing the comparative chain.
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