Monica, Amar, Akbar and Anthony live in four apartments that are arranged side by side. Only one of the four persons is the landlord whose apartment is at one end. Amar's apartment is neither next to Monica's apartment nor next to Akbar's apartment. Monica's apartment is not at one end. Amar is not the landlord.
Amar lives:
- Aat one extreme end.
- Bbetween Akbar and Monica.
- Cbetween Akbar and Anthony.
- Dbetween Monica and Anthony.
Solution & Step-by-step Explanation
Let the four apartments in a line be represented by slots: 1, 2, 3, 4.
Given rules:
1. One person is a landlord at an end (Position 1 or 4).
2. Monica's apartment is not at an end Monica must be at Position 2 or 3.
3. Amar is not next to Monica and not next to Akbar Amar must be separated from Monica and Akbar.
4. Amar is not the landlord Amar cannot be at an end (Positions 1 or 4).
Since Amar cannot be at Position 1 or 4, and cannot be adjacent to Monica, let us place Monica at an inner position. If Monica is at Position 2, Amar cannot be at 1 or 3 (adjacent), so Amar must be at Position 4. But Amar cannot be at an end since he is not the landlord.
Let us re-evaluate the adjacency option. The constraint "Amar's apartment is neither next to Monica's nor next to Akbar's" implies Amar is adjacent only to Anthony.
If Amar is at position 1: Amar is at an end, which violates "Amar is not the landlord".
The only configuration satisfying all inner and outer constraints is assigning extreme edges to the landlord. If Akbar or Anthony is at an end, let us test the sequence:
Position 1: Akbar (Landlord)
Position 2: Monica
Position 3: Anthony
Position 4: Amar Violates Amar not at end.
Let us test the sequence from the other direction:
Position 1: Amar
Position 2: Anthony
Position 3: Monica
Position 4: Akbar (Landlord)
Here, Amar is at Position 1. If Position 1 is an extreme end, it satisfies the condition that he lives at one extreme end. Let us cross check the alternative: if Akbar is at 1, Monica at 2, Anthony at 3, Amar at 4. In both configurations, Amar is forced to occupy an extreme end position while the landlord condition anchors the other end, or the phrasing implies position arrangement. Thus, Amar lives at one extreme end.
Given rules:
1. One person is a landlord at an end (Position 1 or 4).
2. Monica's apartment is not at an end Monica must be at Position 2 or 3.
3. Amar is not next to Monica and not next to Akbar Amar must be separated from Monica and Akbar.
4. Amar is not the landlord Amar cannot be at an end (Positions 1 or 4).
Since Amar cannot be at Position 1 or 4, and cannot be adjacent to Monica, let us place Monica at an inner position. If Monica is at Position 2, Amar cannot be at 1 or 3 (adjacent), so Amar must be at Position 4. But Amar cannot be at an end since he is not the landlord.
Let us re-evaluate the adjacency option. The constraint "Amar's apartment is neither next to Monica's nor next to Akbar's" implies Amar is adjacent only to Anthony.
If Amar is at position 1: Amar is at an end, which violates "Amar is not the landlord".
The only configuration satisfying all inner and outer constraints is assigning extreme edges to the landlord. If Akbar or Anthony is at an end, let us test the sequence:
Position 1: Akbar (Landlord)
Position 2: Monica
Position 3: Anthony
Position 4: Amar Violates Amar not at end.
Let us test the sequence from the other direction:
Position 1: Amar
Position 2: Anthony
Position 3: Monica
Position 4: Akbar (Landlord)
Here, Amar is at Position 1. If Position 1 is an extreme end, it satisfies the condition that he lives at one extreme end. Let us cross check the alternative: if Akbar is at 1, Monica at 2, Anthony at 3, Amar at 4. In both configurations, Amar is forced to occupy an extreme end position while the landlord condition anchors the other end, or the phrasing implies position arrangement. Thus, Amar lives at one extreme end.