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In a Zoological park, seven giraffes L, M, R, E, V, Z and Y have different heights. R is taller than E but shorter than Y. Z is taller than M but shorter than V. L is taller than R but shorter than V. Y is shorter than M but taller than E. M is shorter than Z. Which among the seven is the shortest?
E
L
Y
R
E
Write inequalities for each statement and link them using common elements to form a single chain; the variable that never appears on the 'greater than' side is the shortest.
Write inequalities for each statement and link them using common elements to form a single chain; the variable that never appears on the 'greater than' side is the shortest.
Analyze given constraints
Translate the statements: 1) Y > R > E, 2) V > Z > M, 3) V > L > R, 4) M > Y > E, 5) Z > M.
Combine inequalities
Merging these gives the full hierarchy: V > Z > M > Y > L > R > E.
Determine the sequence
Since V is taller than Z, Z is taller than M, M is taller than Y, Y is taller than R, R is taller than E, and L fits between V and R, the final order from tallest to shortest is V > Z > M > L > Y > R > E.
B: L is taller than R and E, C: Y is taller than R and E, D: R is taller than E.
A is correct because when all inequalities are combined (V > Z > M > L > Y > R > E), E occupies the lowest position in the height hierarchy.
When faced with many variables, don't try to solve horizontally; create a vertical chain of inequalities immediately to see the start and end of the sequence.
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