7 friends P, Q, R, S, T, U and V stay on 9 floor building ground floor is numbered one and above the number one is floor number 2 and so on. But not necessary in the same order. Each one of them likes different colour viz. black, brown, green, yellow, pink, red and grey but not necessary in the same order. There are two floors which are vacant. U stay on an odd numbered floor but not above the floor number 6 and likes black colour. There is a gap of one floor between U and both of the vacant floors. Neither P nor Q is an immediate neighbor of both vacant floors and they does not like Yellow and pink colour. The person who likes grey colour stay on the 2nd floor. Q stays on an odd numbered floor which is above P. There is one floor between P and R who likes green colour. There are three floors between P and S who does not likes yellow colour. The person who likes brown colour stay on just above V.
How many persons stay between P and Q ?

Options

A. None
B. One
C. Two
D. Three

Answer

A

Explanation

Step 1: U sits on odd numbered floor but not above the floor number 6 and lkes black colour. There is a gap of one floor between U and both of the vacant floors. Neither P nor Q is an immediate neighbor of both vacant floors and they does not like Yellow and pink colour. so there should be two possibilities.
Case 1:
Case 2:
Step 2: Neither P nor Q is an immediate neighbor of vacant floor and they does not like yellow and pink colour. the person who likes grey colour stay on the 2nd floor. Q stays on an odd numbered floor which is above P. there is one floor between P and R who likes green colour.
Case 1:
Case 2:
From this statement Case -2 will be eliminated as in case -2- there are four floors between P and R.
Step 3: There are three floors between P and S who does not likes yellow colour. the person who likes brown colour stay on just above V.