### Brain Teasers

# Colored Buildings !!!

Logic
Logic puzzles require you to think. You will have to be logical in your reasoning.

Five buildings, each of a different color among Red, Blue, Green, Yellow and Orange, are located in a row. All the buildings are of different heights.

Some of the observations about the buildings are given below:-

1) The tallest building is adjacent to two buildings.

2) The blue colored building is exactly between the orange and red colored buildings and it is exactly in between the green and the yellow colored buildings.

3) The orange colored building is the second shortest and is adjacent to the tallest building.

4) The second tallest building, which is colored green, is at one of the ends and is to the immediate left of the shortest building.

What is the color of the tallest building?

Some of the observations about the buildings are given below:-

1) The tallest building is adjacent to two buildings.

2) The blue colored building is exactly between the orange and red colored buildings and it is exactly in between the green and the yellow colored buildings.

3) The orange colored building is the second shortest and is adjacent to the tallest building.

4) The second tallest building, which is colored green, is at one of the ends and is to the immediate left of the shortest building.

What is the color of the tallest building?

### Answer

The observations given are as follows :-1) The tallest building is adjacent to two buildings.

2) The blue colored building is exactly between the orange and red colored buildings and it is exactly in between the green and the yellow colored buildings.

3) The orange colored building is the second shortest and is adjacent to the tallest building.

4) The second tallest building, which is colored green, is at one of the ends and is to the immediate left of the shortest building.

From observation 2, the blue building must be exactly at the center of the row of 5 buildings. Hence the order should be

Building1

Building2

Blue

Building3

Building4

From observations 3 and 4, we get that green is the second tallest building and orange is the fourth tallest building. From observation 4, we get that the Green colored building is at one of the ends and is to the immediate left of the shortest building. Also from observation 2, the Orange and Red colored buildings should be equidistant from the Blue colored building and the Green and the Yellow colored buildings must also be equidistant the Blue colored building. Hence the order after all these observations should be

Green

Orange/Red (shortest)

Blue

Orange/Red

Yellow

From observation 3, orange is the second shortest building and hence it cannot be to the right of Green, since from observation 4, green sits next to the shortest building.

Hence Red is the shortest building. Thus the final order is

Green

Red

Blue

Orange

Yellow

Now from observation 1, we have the tallest building is adjacent to two other buildings. In the order above only three colored buildings namely Red, Blue and Orange are adjacent to two other buildings. Since Red is the shortest and Orange the second shortest, the building colored Blue must be the tallest out of the given buildings.

Hence the Blue colored building is the tallest among the given buildings.

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