Direction[1-5]: Study the information given below and answer the questions based on it.
Six persons M, N, O, P, Q and R are staying on an eight-storey building. The lowermost floor is numbered 1 and topmost floor is numbered 8. Two of the floors are vacant. They like different colors i.e. Black, Green, Red, Blue, Orange and Pink but not necessarily in the same order. Both vacant floors are the even floor and 2nd floor is not vacant. R likes Black and lives just below the vacant floor but not on the 5th floor. Two persons are staying between R and N, who is not staying on the 7th floor. There is one floor between the one who likes Pink and M. M lives below pink. M lives on an odd numbered floor. One person is staying between Q and O. Q is not staying adjacent to M’s floor. The one who likes Orange is staying just above the one who likes Blue. Q doesn’t like Blue color. P likes Red but doesn’t live on the 5th floor.
1. Who among the following likes Green color?
A. M
B. N
C. Q
D. O
E. None of these
2. How many persons are staying between P and O?
A. None
B. 1
C. 2
D. 3
E. 4
3. Which of the following oor is vacant?
A. 4th
B. 6th
C. 8th
D. Both A and B
E. Both A and C
4. Which of the following combination is correct?
A. R-6th floor
B. N-3rd floor
C. O- Blue
D. None is correct
E. Q-4th E floor
5. Which of the following is TRUE regarding this arrangement?
A. P lives just below Q.
B. N lives just above the one who likes Blue
C. Two persons live between N and M
D. None is true
E. R lives just above the one who likes Red
Answers and Explanations
1. Answer - Option C
Explanation [1-5]-
● Both vacant floors are even floor and 2nd floor is not vacant. So we get these combinations (8,6) (6,4) and (8,4).
Case 1: Vacant-4th and 6th–
● R likes Black and lives just below the vacant floor but not on the 5th floor. So R must live on 3rd floor.
● Two persons are staying between R and N who is not staying on the 7th floor. N must live on 8th floor.
● The one who likes Pink is staying one floor above M who lives on an odd numbered floor. So M must live on 5th floor and the one who likes Pink must live on 7th floor.
● One person is staying between Q and O. Q is not staying adjacent to M’s floor. From this we cannot get O’s and Q’s position so this case gets rejected.
Floor |
Person |
Colour |
8 |
N |
|
7 |
|
Pink |
6 |
Vacant |
Vacant |
5 |
M |
|
4 |
Vacant |
Vacant |
3 |
R |
Black |
2 |
|
|
1 |
|
|
Case 2: Vacant-8th and 6th–
● R likes Black and lives just below the vacant floor but not on the 5th floor. So R must live on 7th floor.
● Two persons are staying between R and N who is not staying on the 7th floor. N must live on 3rd floor.
● The one who likes Pink is staying one floor above M who lives on an odd numbered floor. So M must live on 1st floor and the one who likes Pink must live on 3rd floor.
● One person is staying between Q and O. Q is not staying adjacent to M’s floor. Q must live on 4th and O must live on 2nd floor.
● The one who likes Orange is staying just above the one who likes Blue. Q doesn’t like Blue color. So O must like Orange and M must like Blue.
● P likes Red but doesn’t live on the 5th floor. So this case gets rejected.
Floor |
Person |
Colour |
8 |
Vacant |
Vacant |
7 |
R |
Black |
6 |
Vacant |
Vacant |
5 |
|
|
4 |
Q |
|
3 |
N |
Pink |
2 |
O |
Orange |
1 |
M |
Blue |
Case 3: Vacant-8th and 4th–
● R likes Black and lives just below the vacant floor but not on the 5th floor. So R either lives on 7th or 3rd floor.
● Two persons are staying between R and N who is not staying on the 7th floor. If R lives on 3rd floor then N must live on 7th floor but that is not correct so R must live on 7th floor and N must live on 3rd floor.
● The one who likes Pink is staying one floor above M who lives on an odd numbered floor. So M must live on 1st floor and the one who likes Pink must live on 3rd floor.
● One person is staying between Q and O. Q is not staying adjacent to M’s floor. Q must live on 5th and O must live on 2nd floor.
● The one who likes Orange is staying just above the one who likes Blue. Q doesn’t like Blue color. So O must like Orange and M must like Blue.
● P likes Red but doesn’t live on the 5th floor. So P must live on 6th floor and Q must like Green color.
Here is the final table:
Floor |
Person |
Colour |
8 |
Vacant |
Vacant |
7 |
R |
Black |
6 |
P |
Red |
5 |
Q |
Green |
4 |
Vacant |
Vacant |
3 |
N |
Pink |
2 |
O |
Orange |
1 |
M |
Blue |
R lives just above the one who likes Red.
2. Answer - Option C
3. Answer - Option E
4. Answer - Option B
5. Answer - Option E