Answer: (2) sita
explanation:
Let's solve this step-by-step considering all the given conditions.
1. **Conditions**:
- Mala is not sitting on the farthest right.
- Devi is not sitting on the farthest left.
- Nita is not sitting at either the farthest left or farthest right.
- Kala is not sitting next to Sita.
- Sita is not sitting next to Devi.
- Emma is sitting to the right of Devi but not necessarily next to her.
2. **Positions**:
- Let the positions be labeled as 1, 2, 3, 4, and 5 from left to right.
3. **Initial assumptions**:
- Devi cannot be at position 1.
- Mala cannot be at position 5.
- Nita cannot be at positions 1 or 5.
Let's try to place Emma first because we have a specific condition for her:
- Emma is to the right of Devi.
Since Devi cannot be at position 1, let's consider two scenarios:
- Devi is at position 2 or 3. Emma must be somewhere to the right of Devi.
### Scenario 1: Devi at position 2
- Emma can be at positions 3, 4, or 5.
- Let's consider Emma at position 5 (to the farthest right), because it simplifies the scenario.
- Since Mala cannot be at position 5, and Devi is at position 2, Emma can indeed be at position 5.
Now, we place others considering the constraints:
- Kala cannot be next to Sita.
- Sita cannot be next to Devi.
We have:
- Positions left: 1, 3, and 4.
### Scenario 1.1: Devi at position 2, Emma at position 5
- Mala can be at position 1 (since she is not at 5).
- Nita can be at position 3 or 4.
- Kala and Sita must be placed in positions 3 and 4 such that they are not next to each other.
#### Sub-scenario:
1. Mala at 1
2. Devi at 2
3. Kala at 3
4. Sita at 4 (Sita and Kala are next to each other, this doesn't work)
5. Emma at 5
#### Try swapping Kala and Sita:
1. Mala at 1
2. Devi at 2
3. Sita at 3
4. Kala at 4 (Sita and Devi are next to each other, this doesn't work either)
### Scenario 2: Devi at position 3
- Emma must be at position 4 or 5.
- Let's consider Emma at position 5.
Now, we place others:
- Mala cannot be at position 5.
Positions left: 1, 2, and 4
#### Sub-scenario:
1. Mala at 1
2. Kala at 2
3. Devi at 3
4. Nita at 4 (Kala and Sita cannot be together; Sita left)
5. Emma at 5
Now we test the placement of Sita and Nita:
- If Nita is at 4, Sita cannot be placed due to constraints.
Since Mala, Devi, and Emma are fixed, we can test:
- Kala at 1
- Mala at 2
- Devi at 3
- Sita at 4 (Devi and Sita are next to each other, not valid)
Trying another position for Emma might be the key:
### Scenario 3: Devi at position 3, Emma at position 4
- Mala not at 5
- Nita not at 1 or 5
Positions left: 1, 2, 5
1. Mala at 1
2. Kala at 2
3. Devi at 3
4. Emma at 4
5. Sita at 5 (Sita can be at 5, no contradiction)
Thus, Emma is at position 4 and Sita at position 5.
Therefore, the girl sitting farthest to the right is:
**(2) Sita**
