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B, C, E, F and H have different heights. Only C is taller than B. E is taller than H. Only two people have heights between F and C. How many people have heights between H and B?
Two
One
Three
Four
Two
Determine the relative positions of all individuals immediately by identifying the anchor points. Since only C > B and F has 2 people between it and C, build the sequence step-by-step from the fixed constraint.
Determine the relative positions of all individuals immediately by identifying the anchor points. Since only C > B and F has 2 people between it and C, build the sequence step-by-step from the fixed constraint.
Establish the Basic Chain
Given: 'Only C is taller than B'. This means the sequence must end as C > B. Since there are 5 people total, B must be the shortest and C is 4th.
Place F and E
Condition: 'Only two people have heights between F and C'. With C at 4th position, two people between F and C means F must be 1st. Remaining slots for E and H are 2nd and 3rd.
Final Order Verification
We are given 'E is taller than H'. Placing E at 2nd and H at 3rd satisfies all conditions. Order: 1st=F, 2nd=E, 3rd=H, 4th=C, 5th=B.
Counting Between H and B
People between H (3rd) and B (5th) are precisely at the 4th position. That person is C. WaitтАФthe count between 3 and 5 is only 1 person (C).
B: One is the correct mathematical count; A: Two is incorrect as only C sits between H and B; C: Three is incorrect as that exceeds the total available slots; D: Four is impossible as it exceeds the total group size.
B is correct because mapping the constraints F > E > H > C > B leaves only C between H and B, resulting in exactly one person.
In ranking puzzles, always place the anchor ('Only C is taller than B') first. It fixes the end of the sequence, making it significantly easier to place other variables.
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