Seven persons – A, B, C, D, E, F and G live on 7 different floors in such a way that lowermost floor is numbered 1 and topmost floor is numbered 7. They are born in different months – January, March, April, June, July, August, September but not necessarily in the same order. Person born in a month having odd number of days lives on odd numbered floor while person born in a month having even number of days lives on even numbered floor.
A was born in July. E is an immediate neighbor of person who was born in August. The one who lives on floor numbered 6 was not born in June. D was born in a month having less than 31 days. Only 2 persons live between C and the one born in July. Equal number of floors are there between the floors on which person born in January and March lives as there are months in January and March according to calendar. There is only 1 floor between F and G, who was born before F. C was born neither in April nor in June. D was born after April. F was born neither in August nor in January. Equal number of persons live between A and C as that in C and person born in August. B was born neither in March nor in August.
SOLUTION
Floor: 1 to 7 | Persons: A, B, C, D, E, F, G | Month of Birth: January, March, April, June, July, August, September
Person born in a month having odd number of days lives on odd numbered floor while person born in a month having even number of days lives on even numbered floor. (So, person born in January, March, July and August live on odd numbered floor while person born in April, June and September live on even numbered floor).
A was born in July ( So, lives on odd numbered floor ie 1 or 3 or 5 or 7 – there are four cases)
Only two persons live between C and the one born in july.
CASE-1
CASE-2
FLOOR
PERSON
MONTH
FLOOR
PERSON
MONTH
7
7
6
6
C
5
5
4
C
4
3
3
A
July
2
2
1
A
July
1
CASE-3
CASE-4
FLOOR
PERSON
MONTH
FLOOR
PERSON
MONTH
7
7
A
July
6
6
5
A
July
5
4
4
C
3
3
2
C
2
1
1
C was born neither in April nor June. ( So C must be born in September as lives on even numbered floor).
Equal number of persons live between A and C as that between C and the one born in August. (So, case-2 and case-3 are eliminated as they do not satisfy the condition).
CASE-1
CASE-4
FLOOR
PERSON
MONTH
FLOOR
PERSON
MONTH
7
August
7
A
July
6
6
5
5
4
C
September
4
C
September
3
3
2
2
1
A
July
1
August
E is an immediate neighbour of the one born in August.
Equal number of floors are there between the floors on which person born in January and March lives as there are months in January and March in calendar. ( So, there must be one floor between the persons born between January and March – they must be even numbered).
CASE-1
CASE-4
FLOOR
PERSON
MONTH
FLOOR
PERSON
MONTH
7
August
7
A
July
6
E
6
5
Jan / Mar
5
Jan / Mar
4
C
September
4
C
September
3
Jan / Mar
3
Jan / Mar
2
2
E
1
A
July
1
August
Only one person lives between F and G
F was born neither in January nor August.
CASE-1
CASE-4
FLOOR
PERSON
MONTH
FLOOR
PERSON
MONTH
7
G
August
7
A
July
6
E
6
5
F
Jan / March
5
January / Mar
4
C
September
4
C
September
3
January / Mar
3
F
Jan / March
2
2
E
1
A
July
1
G
August
The person living on floor numbered 6 was not born in June. (So, person born in June live on floor 2).
D was born in a month having less than 31 days. ( So, D lives on an even numbered floor).
Fill the remaining data.
CASE-1
CASE-4
FLOOR
PERSON
MONTH
FLOOR
PERSON
MONTH
7
G
August
7
A
July
6
E
April
6
D
April
5
F
Jan / March
5
B
January / Mar
4
C
September
4
C
September
3
B
January / Mar
3
F
Jan / March
2
D
June
2
E
June
1
A
July
1
G
August
D was born after April. ( So, case-4 gets eliminated).
