In a certain city there are five towers. Tower III is taller than tower II. Height of Tower V is the average of the height of towers I and IV. Height of Tower II is the average of the height of towers I and III. Height of Tower I is the average of the height of towers II and V. Which tower is the shortest?
In a certain city there are five towers. Tower III is taller than tower II. Height of Tower V is the average of the height of towers I and IV. Height of Tower II is the average of the height of towers I and III. Height of Tower I is the average of the height of towers II and V. Which tower is the shortest? Correct Answer IV
1) Tower III > Tower II
2) Tower V = (Tower I + tower IV) ÷ 2
3) Tower II = (tower I + tower III) ÷ 2
4) Tower I = (tower II + tower V)
From 1 and 3 it is clear that.
5) Tower III > Tower II > Tower I
From 5 and 4 it is clear that,
6) Tower II > Tower I > Tower V
From 2 and 6 it is clear that,
7) Tower I > Tower V > Tower IV
Combining 5, 6 and 7 we get,
Tower III > Tower II > Tower I > Tower V > Tower IV
Clearly, tower IV is the shortest.
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Feb 20, 2025