· Eight people namely A, B, C, D, E, F, G and H work in the same building on four different floors where the ground floor is numbered Floor 1 and the topmost floor is numbered Floor 4. Each floor has two flats i.e., Flat P and Flat Q. Flat P is to the west of Flat Q. Flat P of Floor 1 is immediately below the Flat P of Floor 2 and so on. No two people work in the same flat on the same floor.
Floor Flat | Flat P | Flat Q |
Floor 4 | | |
Floor 3 | | |
Floor 2 | | |
Floor 1 | | |
· F works in Flat P on Floor 1.
· There are two floors between H and F.
· So, there are two cases possible i.e., Case 1 and Case 2.
Case 1:
Floor Flat | Flat P | Flat Q |
Floor 4 | | H |
Floor 3 | | |
Floor 2 | | |
Floor 1 | F | |
Case 2:
Floor Flat | Flat P | Flat Q |
Floor 4 | H | |
Floor 3 | | |
Floor 2 | | |
Floor 1 | F | |
· C works on the floor which is immediately below the floor on which H works.
· H and C work in the same flat.
· A and G work on the same floor.
Case 1:
Floor Flat | Flat P | Flat Q |
Floor 4 | | H |
Floor 3 | | C |
Floor 2 | A/G | G/A |
Floor 1 | F | |
Case 2:
Floor Flat | Flat P | Flat Q |
Floor 4 | H | |
Floor 3 | C | |
Floor 2 | A/G | G/A |
Floor 1 | F | |
· G and E work in the flat i.e., Flat Q.
· B works on the floor which is immediately above the floor on which E works.
· Remaining, D works in Flat Q on Floor 1.
· Case 1 will be invalid.
Case 1: (Invalid)
Floor Flat | Flat P | Flat Q |
Floor 4 | | H |
Floor 3 | | C |
Floor 2 | A | G |
Floor 1 | F | E |
Case 2:
Floor Flat | Flat P | Flat Q |
Floor 4 | H | B |
Floor 3 | C | E |
Floor 2 | A | G |
Floor 1 | F | D |
Finally, we get,
Floor Flat | Flat P | Flat Q |
Floor 4 | H | B |
Floor 3 | C | E |
Floor 2 | A | G |
Floor 1 | F | D |
There is no floor between the floors on which H and E work.