Tips to solve Floor puzzle
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:
Ø A 7 – storey building,
where the Ground Floor = 1st Floor
Ø 7
Persons – P, Q, R, S, T, U and V
Ø 7 Cities
– Delhi, Mumbai, Patna, Chennai, Bangalore, Lucknow and Kolkata
SOLUTION:
These types of questions can be best solved by
the tabulation method
Ø If
persons / days are mentioned in the question then the first column of the table
will always be persons/days
Ø Here
there are 7 persons, then the 1st
column will be persons
Ø 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
Ø Therefore
P lives on the 4th floor (7 – 3 = 4)
CLUE
2:
Only one person lives between P and the one travelling to Bangalore
Ø 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
Ø 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
Ø Therefore
the possibility of the person travelling to Mumbai being in 2nd or 4th or 6th
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
Ø Now
the floor of the person travelling to Mumbai is not yet determined
Ø 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
Ø From
the clue 2, it is clear that the
person travelling to Bangalore is either in floor 2 or 6
Ø 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)
Ø Therefore,
the person travelling to Mumbai cannot be in floor 2 or 6
Ø By
Clue 4, U will be in floor 3
Ø 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.
FLOOR
|
PERSON
|
CITY
|
7
|
T
|
|
6
|
T
R
|
Bangalore
Patna
|
5
|
R
|
|
4
|
P
|
Mumbai
|
3
|
U
|
|
2
|
T
|
Bangalore
Patna
|
1
|
R
|
·
Floors 1 & 2Ø 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
Ø This
shows that the person travelling to Kolkata and Q are 2 floors apart, with the person travelling to Kolkata below Q
Ø 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
Ø If
the person travelling to Kolkata is in floor 3, then Q will be in floor 6
Ø The
Kolkata person cannot be in floors 5 or 7 as there will be no floor for Q above
them
Ø Since
Q is confirmed to be in floor 6, T and R combination cannot be available in the
floors 5, 6 and 7
Ø 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
Ø 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
Ø That
leaves only floor 1 for the person travelling to Delhi i.e. R
Ø 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
Ø 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
Ø Only
floor 5 is left for V and V does not travel to Chennai that means S will travel to Chennai
Ø 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:
b) The one travelling to Kolkata
QUESTION 3:
e) U
QUESTION 4:
e) Chennai
QUESTION 5:
b) Two
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