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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