Six girls are sitting in a row facing West. Kim is to the left of Seema and Sony is between Piku and Ria. There are two people seated between Piku and Seema, who is separated from Neela by one person. If Piku is seated at one end of the row, who is at the other end?
- ASeema
- BKim
- CRia
- DNeela
Solution & Step-by-step Explanation
Let's lay out the 6 positions in a row from right to left (since they face West, looking straight ahead, Right is North and Left is South). Let's represent the positions as 1, 2, 3, 4, 5, 6 from one end to another.
"Piku is seated at one end of the row." So Piku can be at position 1 or position 6.
"There are two people seated between Piku and Seema."
Case 1: If Piku is at 1, Seema must be at 4.
Case 2: If Piku is at 6, Seema must be at 3.
"Sony is between Piku and Ria." This means Sony and Ria must be adjacent to Piku.
In Case 1 (Piku at 1): Sony must be at 2, and Ria must be at 3.
In Case 2 (Piku at 6): Sony must be at 5, and Ria must be at 4.
"Seema is separated from Neela by one person."
In Case 1: Seema is at 4. Neela could be at 2 or 6. Since position 2 is already taken by Sony, Neela must be at position 6.
In Case 2: Seema is at 3. Neela could be at 1 or 5. Since position 5 is taken by Sony, Neela must be at position 1.
"Kim is to the left of Seema."
Since they face West, "left" means moving towards the southern end.
Let's check the remaining empty seat for Kim:
In Case 1: The remaining seat is position 5. So Kim is at 5. The order is: 1:Piku, 2:Sony, 3:Ria, 4:Seema, 5:Kim, 6:Neela. Here, Kim (5) is next to Seema (4). Depending on which direction is left, let's verify if Neela or Kim is at the other end.
In either case, the two ends of the line are occupied by Piku at one end, and Neela at the other end.
"Piku is seated at one end of the row." So Piku can be at position 1 or position 6.
"There are two people seated between Piku and Seema."
Case 1: If Piku is at 1, Seema must be at 4.
Case 2: If Piku is at 6, Seema must be at 3.
"Sony is between Piku and Ria." This means Sony and Ria must be adjacent to Piku.
In Case 1 (Piku at 1): Sony must be at 2, and Ria must be at 3.
In Case 2 (Piku at 6): Sony must be at 5, and Ria must be at 4.
"Seema is separated from Neela by one person."
In Case 1: Seema is at 4. Neela could be at 2 or 6. Since position 2 is already taken by Sony, Neela must be at position 6.
In Case 2: Seema is at 3. Neela could be at 1 or 5. Since position 5 is taken by Sony, Neela must be at position 1.
"Kim is to the left of Seema."
Since they face West, "left" means moving towards the southern end.
Let's check the remaining empty seat for Kim:
In Case 1: The remaining seat is position 5. So Kim is at 5. The order is: 1:Piku, 2:Sony, 3:Ria, 4:Seema, 5:Kim, 6:Neela. Here, Kim (5) is next to Seema (4). Depending on which direction is left, let's verify if Neela or Kim is at the other end.
In either case, the two ends of the line are occupied by Piku at one end, and Neela at the other end.