A five-storeyed building with floors from I to V is painted

A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.

Consider the following statements:

  1. The middle three floors are painted in different colours.
  2. The second (II) and the fourth (IV) floors are painted in different colours.
  3. The first (I) and the fifth (V) floors are painted red.

To ensure that any two consecutive floors have different colours

  1. Only statement 2 is sufficient
  2. Only statement 3 is sufficient
  3. Statement 1 is not sufficient, but statement 1 along with statement 2 is sufficient
  4. Statement 3 is not sufficient, but statement 3 along with statement 2 is sufficient

Answer

According to the third statement, as there are four different colors and the first (I) and the fifth (V) floors are painted red. The remaining three floors must be painted with different three colors. Any two consecutive floors have different colours.

The correct option is B.