Directions: Read the information and answer the given questions.
Eight people, A, C, G, H, J, P, R, and T, live in a four-storey apartment building. The lowest floor is numbered 1, the floor above it is 2, then 3, and the highest floor is 4. Each floor has two flats - Flat-1 and Flat-2. Flat-1 is to the west of Flat-2.
A lives exactly one floor above C, in the same flat. C resides on an odd-numbered floor.
No one lives to the west of C. P lives to the east of the person who stays exactly one floor below H in the same flat. J and R do not live in the same numbered flat. There are two floors between the floors on which G and R live. R lives on a lower floor than G. P doesn't live on the lowest floor. J doesn't live on the fourth floor.
Who among the following lives to the west of P?
- AOption (a)
T
- BOption (b)
R
- COption (c)
J
- DOption (d)
G
- EOption (e)
A
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Correct answer
J
Why this answer is correct
Given: Eight people, A, C, G, H, J, P, R, and T, live in a four-storey apartment building. The lowest floor is numbered 1, the floor above it is 2, then 3, and the highest floor is 4. Each floor has two flats - Flat-1 and Flat-2. Flat-1 is to the west of Flat-2.
- C resides on an odd-numbered floor.
- No one lives to the west of C.
- A lives exactly one floor above C, in the same flat.
Here, we have 2 Cases, i.e., Case 1 and Case 2.
| Floors | Case 1 | Case 2 | ||
|---|---|---|---|---|
| Flat-1 | Flat-2 | Flat-1 | Flat-2 | |
| 4 | A | |||
| 3 | C | |||
| 2 | A | |||
| 1 | C |
4. There are two floors between the floors on which G and R live. 5. R lives on a lower floor than G.
| Floors | Case 1 | Case 2 | ||
|---|---|---|---|---|
| Flat-1 | Flat-2 | Flat-1 | Flat-2 | |
| 4 | G/ | G/ | A | G |
| 3 | C | |||
| 2 | A | |||
| 1 | C | R | R/ | R/ |
- P lives to the east of the person who stays exactly one floor below H in the same flat.
P doesn't live on the lowest floor.
Now, we can eliminate Case 2.
| Floors | Case 1 | |
|---|---|---|
| Flat-1 | Flat-2 | |
| 4 | H | G |
| 3 | P | |
| 2 | A | |
| 1 | C | R |
- J and R do not live in the same numbered flat.
| Floors | Case 1 | |
|---|---|---|
| Flat-1 | Flat-2 | |
| 4 | H | G |
| 3 | J | P |
| 2 | A | |
| 1 | C | R |
This is our final arrangement,
| Floors | Case 1 | |
|---|---|---|
| Flat-1 | Flat-2 | |
| 4 | H | G |
| 3 | J | P |
| 2 | A | T |
| 1 | C | R |
Hence, the correct answer is J.