Ranking
Content
RANKING TEST
Type 1
1) Total number of persons = {(sum of positions of same person from both sides i.e. left
and right side) – 1}
OR
2) Position of a person from opposite side = {(Total no. of persons – Position of same
person from given side) +1}
E.g.1) In a row of persons, position of A from left side of the row is 27th and position of A
from right side of the row is 34th. Find total no. of persons in the row?
Solution:
Total no. of students = (Position of A from left + Position of A from right) -1
Total no. of students = (27 + 34) – 1 = 61 – 1 = 60
E.g. 2) In a row of 16 persons, position of A from left side of the row is 12th. Find the
position of A from right side of the row?
Solution:
Position of A from right side = {(Total no. of persons – Position of A from left side) + 1}
Position of A from right side = (16 – 12) + 1 = 4 + 1 = 5th
Type 2
1) Total no. of persons = No. of persons after or before the given person in a row +
Position of same person from the other side
OR
2) No. of persons after or before the given person in a row = Total no. of persons –
Position of same person from other side
E.g.1) In a row of persons, position of A from left side of the row is 27th and there are 5
persons after A in the row. Find total no. of persons in the row?
Solution:
No. of persons in the row = Position of A from left + No. of persons after A
Total no. of persons = 27 + 5 = 32
E.g.2) In a row of 18 persons, position of A from left side of the row is 6th. Find the no. of
persons after A in the row?
Solution:
No. of persons after A = Total no. of persons – Position of A from left
No. of persons after A in the row = 18 – 6 = 12
Type 3
When the positions of two persons are given from opposite ends and we know the total
number of persons, then two cases arise when trying to determine the number of persons
between these two persons –
1. When there is no overlapping: i.e. the sum of positions of the two persons from opposite
ends < total number of persons
2. When there is overlapping: i.e. the sum of positions of the two persons from opposite
ends > total number of persons
Case i) No. of students between two different persons = Total no. of students – (Sum of
positions of two different persons from opposite sides)
E.g.1) In a row of 54 persons, A is 15th from the left side of the row and B is 20th from the
right side of the row. Find the no. of persons sitting between A and B?
Solution:
Here Sum of positions of A & B from opposite ends = 15 + 20 = 35 < Total no. of persons
No. of persons between A & B = Total no. of students – (Position of A from left +
Position of B from right)
No. of persons between A & B = 54 – (15+20) = 54 – 35 = 19
Case ii) No. of students between two different persons = (Sum of positions of two different
persons from opposite sides) – Total no. of students – 2
E.g.1) In a row of 54 persons, A is 35th from the left side of the row and B is 22nd from the
right side of the row. Find the no. of persons sitting between A and B?
Solution:
Here Sum of positions of A & B from opposite ends = 35 + 22 = 57 > Total no. of persons
No. of persons between A & B = (Position of A from left + Position of B from right) –
Total no. of students – 2
No. of persons between A & B = (35+22) – 54 – 2 = 57 – 54 – 2 = 1
Type 4
If total no. of students is to be calculated and positions of different persons from any side
are given then it is always a case of ‘cannot be determined’ or ‘data inadequate’ or ‘can’t
say’. This is because we do not know if there is overlapping or not.
E.g. In a row Position of A from left side of the row is 18th and position of B from right side
of the row is 25th. Find the total no. of students in the row?
Solution:
Cannot be determined as position of different persons is given from the same side.
Type 5
Positions of two persons is given and their positions are interchanged and after
interchanging position of 1st person is given from same side as before interchanging
Position of 2nd person from the same side as before interchanging = Position of
2nd person from same side before interchanging + (Position of 1st person after
interchanging – position of 1st person before interchanging from same side)
To find total no. of students Þ Find the person whose position from both sides can
be depicted from the statement. Add both his positions from opposite ends and
subtract 1.
To find no. of persons between them Þ Difference in the position of common
person whose position from same side before and after interchanging is given then
subtract 1
E.g. A and B are standing in a row of persons. A is 18th from left side of the row and B is
24th from right side of the row. If they interchange their positions A becomes 31st from
left. Find
i.
ii.
iii.
New position of B from right side
Total no. of persons i
No. of persons between A & B
Solution:
i) New position of B from right side = Position of B from right side before interchanging
+ (Position of A from left side after interchanging – Position of A from left side before
interchanging)
New position of B from right side = 24 + (31 – 18) = 24 + 13 = 37th
ii) Total no. of persons = (A’s position from right before interchanging + A’s position
from left before interchanging) – 1
Total no. of persons = (B’s position from right after interchanging + A’s position from left
before interchanging) – 1
Total no. of persons = (24 + 31) – 1 = 55 – 1 = 54
iii) No. of persons between A & B = (Position of A from left after interchanging– Position
of A from left before interchanging) – 1
No. of persons between A & B = (31 – 18) – 1 = 13 – 1 = 12
Type 6
If positions of two different persons are given from opposite sides of the row and a third
person is sitting exactly in middle of the two and total no. of persons in the row is to be
calculated as
1. i) When position of third person sitting is given from either side of row
2. ii) When position of third person is given from either of the two persons between whom
he/she is sitting
Then find the position of the 3rd person from both sides of the row and hence find total
no. of persons according to type 1
E.g. 1) In a row of persons, position of A from left side of the row is 9th & position of B
from right side of the row is 8th.If C is sitting just in middle of A & B and position of C from
left side of the row is 15th. Find the total no. of persons in the row?
Solution:
Position of C from left is 15th and A from left is 9th so there are (15 – 9 – 1 = 5) persons
are sitting between A and C. As C is sitting in middle of A and B so there must also be 5
persons sitting between B and C.
Thus position of C from right = Position of B from right + 5 + 1 = 8 + 6 = 14th
Total no. of students = (Sum of positions of C from both sides – 1)
Total no. of students = (15 + 14) – 1 = 29 – 1 = 28
E.g. 2) In a row of persons, Position of A from left side of the row is 11th and B from right
side of the row is 19th. If C is sitting just in middle of A & B and position of C from A is 7th.
Find total no. of persons in the row?
Solution:
Position of C from Left = Position of A from left + Position of C from A = 11 + 7 = 18th
Given C is 7th from A and C is sitting in middle of A and B then also C is at 7th position
from B
Position of C from right = Position of B from right + Position of C from B = 19 + 7 =
26th
Total no. of students = (Sum of position of C from both sides – 1)
Total no. of students = (18 + 26) – 1 = 44 – 1 = 43
Type 7
In the questions where it is asked to find minimum no. of persons in a row then it is
always a case of overlapping i.e. given positions of persons from either sides overlap each
other.
Then
Minimum no. of persons = Sum of positions of persons from both sides – Persons between
them – 2
E.g. If position of A from left side of a row is 15th and position of B from right side of a row
is 19th and only 1 person is sitting in middle of A & B. Find the minimum number of
persons that can be seated in this row?
Solution:
Total no. of persons = 15 + 19 – 1 – 2 = 31
Type 8
These are ordering type questions. In this type of question, it is given that there are
several people living in an n-storey building. Some information will be given about the
relative positions of one above or below the other. You need to find which floor each
person lives on. These are almost similar to seating arrangement questions. However, you
may be required to apply the rules you learnt above, in these problems.
FLOOR ARRANGEMENT PUZZLE TEST
Example Question:
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'?
a) The one who lives immediately below V is travelling to Mumbai
b) V lives on floor no. 7
c) V lives immediately below T
d) V lives on the lowermost floor
e) V is travelling to Bangalore
2).Who among the following lives on floor no. 3?
a) The one travelling to Chennai
b) The one travelling to Kolkata
c) R
d) V
e) T
3).Who lives on the floor immediately above T?
a) P
b) Q
c) S
d) V
e) U
4).To which of the following cities is S travelling?
a) Mumbai
b) Bangalore
c) Patna
d) Kolkata
e) Chennai
5).How many people live between the floors on which S and the one travelling to Mumbai
live?
a) None
b) Two
c) One
d) More than three
e) Three
GIVEN:
A 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
7
6
5
4
3
2
1
PERSON
CITY
P
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
7
6
5
4
3
2
1
PERSON
CITY
Bangalore
P
Bangalore
CLUE 3: The one travelling to Mumbai lives on an even-numbered floor
Therefore the possibility of the person travelling to Mumbai being
in 2nd or 4th or 6th floor is correct
FLOOR
7
PERSON
Bangalore
Mumbai
6
5
4
3
CITY
P
Mumbai
Bangalore
Mumbai
2
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
7
PERSON
Bangalore
Mumbai
6
5
4
3
U
P
U
Mumbai
Bangalore
Mumbai
2
1
CITY
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
7
PERSON
Bangalore
Patna
Mumbai
6
5
4
3
U
P
U
Mumbai
Bangalore
Patna
Mumbai
2
1
CITY
U
CLUE 6: T lives immediately above R.
FLOOR
7
5
4
3
PERSON
T
T
R
R
P
U
2
T
1
R
6
CITY
Bangalore
Patna
Mumbai
Bangalore
Patna
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 4th 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
Q
Bangalore
6
T
Patna
R
5
R
4
P
Mumbai
3
U
Kolkata
Bangalore
2
T
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
7
PERSON
CITY
6
Q
Patna
5
4
3
2
1
P
U
T
R
Mumbai
Kolkata
Bangalore
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
6
Q
Patna
5
4
3
2
1
P
U
T
R
Mumbai
Kolkata
Bangalore
Delhi
7
CLUE 10: S does not live immediately above or immediately below P
S cannot be on floor 5, which leaves only floor 7
FLOOR
7
PERSON
S
CITY
6
Q
Patna
5
4
3
2
1
P
U
T
R
Mumbai
Kolkata
Bangalore
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
7
PERSON
S
CITY
Chennai
6
Q
Patna
5
4
3
2
1
V
P
U
T
R
Lucknow
Mumbai
Kolkata
Bangalore
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:
b) The one travelling to Kolkata
QUESTION 3:
e) U
QUESTION 4:
e) Chennai
QUESTION 5:
b) Two
Type 1
1) Total number of persons = {(sum of positions of same person from both sides i.e. left
and right side) – 1}
OR
2) Position of a person from opposite side = {(Total no. of persons – Position of same
person from given side) +1}
E.g.1) In a row of persons, position of A from left side of the row is 27th and position of A
from right side of the row is 34th. Find total no. of persons in the row?
Solution:
Total no. of students = (Position of A from left + Position of A from right) -1
Total no. of students = (27 + 34) – 1 = 61 – 1 = 60
E.g. 2) In a row of 16 persons, position of A from left side of the row is 12th. Find the
position of A from right side of the row?
Solution:
Position of A from right side = {(Total no. of persons – Position of A from left side) + 1}
Position of A from right side = (16 – 12) + 1 = 4 + 1 = 5th
Type 2
1) Total no. of persons = No. of persons after or before the given person in a row +
Position of same person from the other side
OR
2) No. of persons after or before the given person in a row = Total no. of persons –
Position of same person from other side
E.g.1) In a row of persons, position of A from left side of the row is 27th and there are 5
persons after A in the row. Find total no. of persons in the row?
Solution:
No. of persons in the row = Position of A from left + No. of persons after A
Total no. of persons = 27 + 5 = 32
E.g.2) In a row of 18 persons, position of A from left side of the row is 6th. Find the no. of
persons after A in the row?
Solution:
No. of persons after A = Total no. of persons – Position of A from left
No. of persons after A in the row = 18 – 6 = 12
Type 3
When the positions of two persons are given from opposite ends and we know the total
number of persons, then two cases arise when trying to determine the number of persons
between these two persons –
1. When there is no overlapping: i.e. the sum of positions of the two persons from opposite
ends < total number of persons
2. When there is overlapping: i.e. the sum of positions of the two persons from opposite
ends > total number of persons
Case i) No. of students between two different persons = Total no. of students – (Sum of
positions of two different persons from opposite sides)
E.g.1) In a row of 54 persons, A is 15th from the left side of the row and B is 20th from the
right side of the row. Find the no. of persons sitting between A and B?
Solution:
Here Sum of positions of A & B from opposite ends = 15 + 20 = 35 < Total no. of persons
No. of persons between A & B = Total no. of students – (Position of A from left +
Position of B from right)
No. of persons between A & B = 54 – (15+20) = 54 – 35 = 19
Case ii) No. of students between two different persons = (Sum of positions of two different
persons from opposite sides) – Total no. of students – 2
E.g.1) In a row of 54 persons, A is 35th from the left side of the row and B is 22nd from the
right side of the row. Find the no. of persons sitting between A and B?
Solution:
Here Sum of positions of A & B from opposite ends = 35 + 22 = 57 > Total no. of persons
No. of persons between A & B = (Position of A from left + Position of B from right) –
Total no. of students – 2
No. of persons between A & B = (35+22) – 54 – 2 = 57 – 54 – 2 = 1
Type 4
If total no. of students is to be calculated and positions of different persons from any side
are given then it is always a case of ‘cannot be determined’ or ‘data inadequate’ or ‘can’t
say’. This is because we do not know if there is overlapping or not.
E.g. In a row Position of A from left side of the row is 18th and position of B from right side
of the row is 25th. Find the total no. of students in the row?
Solution:
Cannot be determined as position of different persons is given from the same side.
Type 5
Positions of two persons is given and their positions are interchanged and after
interchanging position of 1st person is given from same side as before interchanging
Position of 2nd person from the same side as before interchanging = Position of
2nd person from same side before interchanging + (Position of 1st person after
interchanging – position of 1st person before interchanging from same side)
To find total no. of students Þ Find the person whose position from both sides can
be depicted from the statement. Add both his positions from opposite ends and
subtract 1.
To find no. of persons between them Þ Difference in the position of common
person whose position from same side before and after interchanging is given then
subtract 1
E.g. A and B are standing in a row of persons. A is 18th from left side of the row and B is
24th from right side of the row. If they interchange their positions A becomes 31st from
left. Find
i.
ii.
iii.
New position of B from right side
Total no. of persons i
No. of persons between A & B
Solution:
i) New position of B from right side = Position of B from right side before interchanging
+ (Position of A from left side after interchanging – Position of A from left side before
interchanging)
New position of B from right side = 24 + (31 – 18) = 24 + 13 = 37th
ii) Total no. of persons = (A’s position from right before interchanging + A’s position
from left before interchanging) – 1
Total no. of persons = (B’s position from right after interchanging + A’s position from left
before interchanging) – 1
Total no. of persons = (24 + 31) – 1 = 55 – 1 = 54
iii) No. of persons between A & B = (Position of A from left after interchanging– Position
of A from left before interchanging) – 1
No. of persons between A & B = (31 – 18) – 1 = 13 – 1 = 12
Type 6
If positions of two different persons are given from opposite sides of the row and a third
person is sitting exactly in middle of the two and total no. of persons in the row is to be
calculated as
1. i) When position of third person sitting is given from either side of row
2. ii) When position of third person is given from either of the two persons between whom
he/she is sitting
Then find the position of the 3rd person from both sides of the row and hence find total
no. of persons according to type 1
E.g. 1) In a row of persons, position of A from left side of the row is 9th & position of B
from right side of the row is 8th.If C is sitting just in middle of A & B and position of C from
left side of the row is 15th. Find the total no. of persons in the row?
Solution:
Position of C from left is 15th and A from left is 9th so there are (15 – 9 – 1 = 5) persons
are sitting between A and C. As C is sitting in middle of A and B so there must also be 5
persons sitting between B and C.
Thus position of C from right = Position of B from right + 5 + 1 = 8 + 6 = 14th
Total no. of students = (Sum of positions of C from both sides – 1)
Total no. of students = (15 + 14) – 1 = 29 – 1 = 28
E.g. 2) In a row of persons, Position of A from left side of the row is 11th and B from right
side of the row is 19th. If C is sitting just in middle of A & B and position of C from A is 7th.
Find total no. of persons in the row?
Solution:
Position of C from Left = Position of A from left + Position of C from A = 11 + 7 = 18th
Given C is 7th from A and C is sitting in middle of A and B then also C is at 7th position
from B
Position of C from right = Position of B from right + Position of C from B = 19 + 7 =
26th
Total no. of students = (Sum of position of C from both sides – 1)
Total no. of students = (18 + 26) – 1 = 44 – 1 = 43
Type 7
In the questions where it is asked to find minimum no. of persons in a row then it is
always a case of overlapping i.e. given positions of persons from either sides overlap each
other.
Then
Minimum no. of persons = Sum of positions of persons from both sides – Persons between
them – 2
E.g. If position of A from left side of a row is 15th and position of B from right side of a row
is 19th and only 1 person is sitting in middle of A & B. Find the minimum number of
persons that can be seated in this row?
Solution:
Total no. of persons = 15 + 19 – 1 – 2 = 31
Type 8
These are ordering type questions. In this type of question, it is given that there are
several people living in an n-storey building. Some information will be given about the
relative positions of one above or below the other. You need to find which floor each
person lives on. These are almost similar to seating arrangement questions. However, you
may be required to apply the rules you learnt above, in these problems.
FLOOR ARRANGEMENT PUZZLE TEST
Example Question:
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'?
a) The one who lives immediately below V is travelling to Mumbai
b) V lives on floor no. 7
c) V lives immediately below T
d) V lives on the lowermost floor
e) V is travelling to Bangalore
2).Who among the following lives on floor no. 3?
a) The one travelling to Chennai
b) The one travelling to Kolkata
c) R
d) V
e) T
3).Who lives on the floor immediately above T?
a) P
b) Q
c) S
d) V
e) U
4).To which of the following cities is S travelling?
a) Mumbai
b) Bangalore
c) Patna
d) Kolkata
e) Chennai
5).How many people live between the floors on which S and the one travelling to Mumbai
live?
a) None
b) Two
c) One
d) More than three
e) Three
GIVEN:
A 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
7
6
5
4
3
2
1
PERSON
CITY
P
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
7
6
5
4
3
2
1
PERSON
CITY
Bangalore
P
Bangalore
CLUE 3: The one travelling to Mumbai lives on an even-numbered floor
Therefore the possibility of the person travelling to Mumbai being
in 2nd or 4th or 6th floor is correct
FLOOR
7
PERSON
Bangalore
Mumbai
6
5
4
3
CITY
P
Mumbai
Bangalore
Mumbai
2
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
7
PERSON
Bangalore
Mumbai
6
5
4
3
U
P
U
Mumbai
Bangalore
Mumbai
2
1
CITY
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
7
PERSON
Bangalore
Patna
Mumbai
6
5
4
3
U
P
U
Mumbai
Bangalore
Patna
Mumbai
2
1
CITY
U
CLUE 6: T lives immediately above R.
FLOOR
7
5
4
3
PERSON
T
T
R
R
P
U
2
T
1
R
6
CITY
Bangalore
Patna
Mumbai
Bangalore
Patna
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 4th 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
Q
Bangalore
6
T
Patna
R
5
R
4
P
Mumbai
3
U
Kolkata
Bangalore
2
T
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
7
PERSON
CITY
6
Q
Patna
5
4
3
2
1
P
U
T
R
Mumbai
Kolkata
Bangalore
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
6
Q
Patna
5
4
3
2
1
P
U
T
R
Mumbai
Kolkata
Bangalore
Delhi
7
CLUE 10: S does not live immediately above or immediately below P
S cannot be on floor 5, which leaves only floor 7
FLOOR
7
PERSON
S
CITY
6
Q
Patna
5
4
3
2
1
P
U
T
R
Mumbai
Kolkata
Bangalore
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
7
PERSON
S
CITY
Chennai
6
Q
Patna
5
4
3
2
1
V
P
U
T
R
Lucknow
Mumbai
Kolkata
Bangalore
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:
b) The one travelling to Kolkata
QUESTION 3:
e) U
QUESTION 4:
e) Chennai
QUESTION 5:
b) Two
