Directions (Questions 1 to 5): Study the following information carefully to answer the given questions

Seven people P, Q, R, S, T, U and V live on separate floors of a 7-floor building. Ground floor is numbered 1, first floor is numbered. 2 and so on until the topmost floor are numbered 7. Each one of these is travelling to a different city, namely Delhi, Mumbai, Patna, Chennai, Kolkata, Bangalore and Lucknow but not necessarily in the same order. Only three people live above the floor on which P lives. Only one person lives between P and the one travelling to Bangalore. U lives immediately below the one travelling to Mumbai. The one travelling to Mumbai lives on an even-numbered floor. Only three people live between the ones travelling to Bangalore and Patna. T lives immediately above R. T is not travelling to Patna. Only two people live between Q and the one travelling to Kolkata. The one travelling to Kolkata lives below the floor on which Q lives. The one travelling to Delhi does not live immediately above or immediately below Q. S does not live immediately above or immediately below P. V does not travel to Chennai.

1). Which of the following is true with respect to V as per the given information’?

1. The one who lives immediately below V is travelling to Mumbai
2. V lives on floor no. 7
3. V lives immediately below T
4. V lives on the lowermost floor
5. V is travelling to Bangalore

2). Who among the following lives on floor no. 3?

1. The one travelling to Chennai
2. The one travelling to Kolkata
3. R
4. V
5. T

3).Who lives on the floor immediately above T?

1. P
2. Q
3. S
4. V
5. U

4).To which of the following cities is S travelling?

1. Mumbai
2. Bangalore
3. Patna
4. Kolkata
5. Chennai

5).How many people live between the floors on which S and the one travelling to Mumbai live?

1. None
2. Two
3. One
4. More than three
5. Three

GIVEN:

• 7 – Storey building, where the Ground Floor = 1st Floor
• 7 Persons – P, Q, R, S, T, U and V
• 7 Cities– Delhi, Mumbai, Patna, Chennai, Bangalore, Lucknow and Kolkata

SOLUTION:

• These types of questions can be best solved by the tabulation method
• If persons/days are mentioned in the question then the first column of the table will always be persons/days
• Here there are 7 persons, then the 1st column will be persons
• Always start filling the Table from the bottom if there are more than one possibilities

FLOOR	PERSON	CITY
7
6
5
4	P
3
2
1

CLUE 1: Only three people live above the floor on which P lives

Therefore P lives on the 4th floor (7 – 3 = 4)

 CLUE 2: Only one person lives between P and the one travelling to Bangalore

Going by the clue, the person travelling to Bangalore is on alternate floor from P. The person can be in the floor either above or below P

That gives us 2 options

• Above P – 6th Floor

OR

• Below P – 2nd Floor

FLOOR	PERSON	CITY
7
6		Bangalore
5
4	P
3
2		Bangalore
1

 

CLUE 3: The one travelling to Mumbai lives on an even-numbered floor

Therefore the possibility of the person travelling to Mumbai being in 2^nd or 4^th  or 6^th floor is correct

FLOOR	PERSON	CITY
7
6		Bangalore Mumbai
5
4	P	Mumbai
3
2		Bangalore Mumbai
1

 

CLUE 4: U lives immediately below the one travelling to Mumbai

• Now the floor of the person travelling to Mumbai is not yet determined
• So as of now U can be either in 1st or 3rd or 5th floor

 

FLOOR	PERSON	CITY
7
6		Bangalore Mumbai
5	U
4	P	Mumbai
3	U
2		Bangalore Mumbai
1	U

CLUE 5: Only three people live between the ones travelling to Bangalore and Patna

• From the clue 2, it is clear that the person travelling to Bangalore is either in floor 2 or 6
• So if person travelling to Bangalore is in floor 2 then the person travelling to Patna will be in floor 6 and vice versa (because only three people live between the ones travelling to Bangalore and Patna)
• Therefore, the person travelling to Mumbai cannot be in floor 2 or 6
• By Clue 4, U will be in floor 3
• Hence, 4th floor = P = Mumbai

FLOOR	PERSON	CITY
7
6		Bangalore Patna Mumbai✗
5	U✗
4	P	Mumbai
3	U
2		Bangalore Patna Mumbai✗
1	U✗

CLUE 6: T lives immediately above R.

• Floors 1 & 2, Here the tentative floors where T and R can be are as follows
• Floors 5 & 6
• Floors 6 & 7

CLUE 7: Only two people live between Q and the one travelling to Kolkata. The one travelling to Kolkata lives below the floor on which Q lives

• This shows that the person travelling to Kolkata and Q are 2 floors apart, with the person travelling to Kolkata below Q
• Now the person travelling to Kolkata cannot be in floor 1, because then Q would be in floor 4 which is not possible as 4^th floor = P
• If the person travelling to Kolkata is in floor 3, then Q will be in floor 6
• The Kolkata person cannot be in floors 5 or 7 as there will be no floor for Q above them
• Since Q is confirmed to be in floor 6, T and R combination cannot be available in the floors 5, 6 and 7

Therefore,

• 3rd Floor = U = Kolkata
• 6th Floor = Q = Bangalore or Patna
• 1st Floor = R
• 2nd Floor = T = Bangalore or Patna

 

FLOOR	PERSON	CITY
7	T✗
6	Q✓ T✗ R✗	Bangalore Patna
5	R✗
4	P	Mumbai
3	U	Kolkata
2	T✓	Bangalore Patna
1	R✓

CLUE 8: T is not travelling to Patna

• Therefore T will be the one travelling to Bangalore and Q will be travelling to Patna

FLOOR	PERSON	CITY
7
6	Q	Patna
5
4	P	Mumbai
3	U	Kolkata
2	T	Bangalore
1	R

CLUE 9: The one travelling to Delhi does not live immediately above or immediately below Q

• That leaves only floor 1 for the person travelling to Delhi i.e. R
• 1st Floor = R = Delhi

FLOOR	PERSON	CITY
7
6	Q	Patna
5
4	P	Mumbai
3	U	Kolkata
2	T	Bangalore
1	R	Delhi

CLUE 10: S does not live immediately above or immediately below P

• S cannot be on floor 5, which leaves only floor 7

FLOOR	PERSON	CITY
7	S
6	Q	Patna
5
4	P	Mumbai
3	U	Kolkata
2	T	Bangalore
1	R	Delhi

 

CLUE 11: V does not travel to Chennai

• Only floor 5 is left for V and V does not travel to Chennai that means S will travel to Chennai
• Among cities only Lucknow is left, therefore V will be the person who travels to Lucknow

ANSWER:

FLOOR	PERSON	CITY
7	S	Chennai
6	Q	Patna
5	V	Lucknow
4	P	Mumbai
3	U	Kolkata
2	T	Bangalore
1	R	Delhi

 

QUESTION 1:
The above is the final floor arrangement From the final table, a) The one who lives immediately below V is travelling to Mumbai

QUESTION 2:

1. b) The one travelling to Kolkata

QUESTION 3:

1. e) U

QUESTION 4:

1. e) Chennai

QUESTION 5:

1. b) Two