Read the given information carefully and answer the questions based on it:
Eight persons sit in a row. Four persons face north and rest face south. Three persons sit between A and B and one of them sits at the end of the row. C sits second to the right of B who faces north. D and B face same direction but they do not sit adjacent to each other. E sits third to the left of D and faces opposite direction to D. G sits third to the right of C. Both the immediate neighbors of G face same direction. H sits to the right of F.
How many persons sit to the left of G?
Correct Answer :
Two
Solution :
The correct option is Two.
Let us analyze the given information step-by-step to determine the seating arrangement of the eight persons in a row. Let the 8 positions in the row be numbered 1 to 8 from left to right.
1. Placement of A and B:
We are told: "Three persons sit between A and B and one of them sits at the end of the row."
This means either A or B sits at one of the extreme ends (position 1 or position 8). Let's explore the possible cases:
Case 1: B sits at an end.
- Subcase 1a: B is at position 1. Since three persons sit between A and B, A must be at position 5 (positions 2, 3, 4 are between them).
- Subcase 1b: B is at position 8. Then A must be at position 4 (positions 5, 6, 7 are between them).
Case 2: A sits at an end.
- Subcase 2a: A is at position 1. Then B must be at position 5.
- Subcase 2b: A is at position 8. Then B must be at position 4.
2. Placement of C:
We are told: "C sits second to the right of B who faces north."
Since B faces North (towards the top), "right of B" corresponds to the right side of the row (increasing position numbers).
Therefore, C must sit 2 positions to the right of B (i.e., Position of C = Position of B + 2).
Let us evaluate our subcases with this condition:
- In Subcase 1a: B is at 1. Then C is at 3.
- In Subcase 1b: B is at 8. Since B is at the right end, C cannot sit to the right of B. Thus, Subcase 1b is invalid.
- In Subcase 2a: B is at 5. Then C is at 7.
- In Subcase 2b: B is at 4. Then C is at 6.
3. Placement of G:
We are told: "G sits third to the right of C."
Let's analyze the remaining valid subcases:
- Subcase 1a (B at 1, C at 3, A at 5):
If C is at 3, G sits third to the right of C. This means G must be at 3 + 3 = 6.
Since G is to the right of C, C must face North.
- Subcase 2a (B at 5, C at 7, A at 1):
If C is at 7, we cannot place G third to the right of C because the row ends at 8. So G would have to be to the left of C, which contradicts "third to the right". Thus, Subcase 2a is invalid.
- Subcase 2b (B at 4, C at 6, A at 8):
If C is at 6, we cannot place G third to the right because 6 + 3 = 9 (out of bounds). Thus, Subcase 2b is invalid.
Therefore, only Subcase 1a is valid. Let's write down the current positions:
- B is at 1 (faces North)
- C is at 3 (faces North)
- A is at 5
- G is at 6
4. Placement of D and E:
We are told:
- "D and B face same direction but they do not sit adjacent to each other." Since B faces North, D must also face North. Since B is at 1, D cannot be at 2 (not adjacent to B).
- "E sits third to the left of D and faces opposite direction to D." Since D faces North, "left of D" is towards the left. So E must be at Position of D - 3. Since D faces North, E faces South.
Let's find positions for E and D:
- If D is at 4, E would be at 4 - 3 = 1. But B is already at 1. Invalid.
- If D is at 7, E would be at 7 - 3 = 4. This is vacant. Let's place D at 7 (facing North) and E at 4 (facing South).
- If D is at 8, E would be at 8 - 3 = 5. But A is at 5. Invalid.
Thus, D must be at 7 (facing North) and E must be at 4 (facing South).
5. Placement of F and H:
The remaining vacant positions are 2 and 8.
We are told: "H sits to the right of F."
Therefore, F must be at 2 and H must be at 8.
This gives the final linear arrangement from left to right (positions 1 to 8):
1. B (North)
2. F
3. C (North)
4. E (South)
5. A
6. G
7. D (North)
8. H
6. Directions of the remaining persons:
- "Both the immediate neighbors of G face same direction." The neighbors of G (at 6) are A (at 5) and D (at 7). Since D faces North, A must also face North.
- We are given: "Four persons face north and rest face south."
So far, the persons facing North are B, C, D, and A (total of 4).
Therefore, the remaining persons (F, E, G, H) must face South.
Thus, G faces South.
7. Answering the Question:
The question asks: "How many persons sit to the left of G?"
Since G is at position 6 and faces South, his left side is towards the right end of the row (positions 7 and 8).
The persons sitting to the left of G are D (at 7) and H (at 8).
Therefore, exactly two persons sit to the left of G.
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.