Directions (71-75) : Study the following information carefully and answer the question given below:

Seven persons sit in a row facing to the south and they all have different ages. E sits 2nd from one of the extreme ends. Three persons sit between E and the one who is 25 years old. The one who is 25 years old is the only neighbour of A. D sits to the right of C. The Age of D is equal to the total age of his immediate neighbours. C is 15 years old and sits 3 rd to the right of E. B is 10 years older than A and 10 years younger than G who sits at one of the extreme ends. F sits to the right of B who is 1 year younger than E whose age is thrice of age of F.

___ sits 2nd to the right of the one who is ___ years old.

The correct option is Both (a) and (c).

Step-by-step Explanation:

Let's analyze the given conditions to determine the seating arrangement and the ages of all seven persons sitting in a row facing South:

1. Position of E and the 25-year-old:
- There are 7 positions in the row. Since all persons face South, Left corresponds to the right side of the diagram and Right corresponds to the left side of the diagram.
- "E sits 2nd from one of the extreme ends."
- Case 1: E is at position 2 from the left end.
- Case 2: E is at position 2 from the right end.
- "Three persons sit between E and the one who is 25 years old."
- In Case 1 (E at 2nd position), 3 persons (3rd, 4th, 5th) sit between E and the 25-year-old, placing the 25-year-old at the 6th position.
- In Case 2 (E at 6th position), 3 persons sit between them, placing the 25-year-old at the 2nd position.
- "The one who is 25 years old is the only neighbour of A."
- This means A must sit at an extreme end (1st or 7th position) so that the 25-year-old is A's only neighbor.
- In Case 1, the 25-year-old is at position 6, so A must be at position 7 (right end).
- In Case 2, the 25-year-old is at position 2, so A must be at position 1 (left end).

2. Positions of C, D, and G:
- "C is 15 years old and sits 3rd to the right of E."
- Facing South, "3rd to the right" means 3 positions to the left in standard visual terms.
- In Case 1 (E at pos 2), 3rd to the right of E would be outside the row to the left. Thus, Case 1 is invalid.
- In Case 2 (E at pos 6), 3rd to the right of E places C at position 3.
- So, C (age 15) is at position 3.
- From Case 2, A is at position 1, and the person at position 2 is 25 years old.
- "G sits at one of the extreme ends."
- Since A is at position 1 (left end), G must be at position 7 (right end).
- "D sits to the right of C."
- Facing South, "to the right of C" means to the left side of C in the diagram (positions 1 or 2).
- Position 1 is A, position 3 is C. Therefore, D must be at position 2.
- So, D's age is 25 years!

3. Positions of B and F:
- Remaining positions are 4 and 5.
- "F sits to the right of B."
- Facing South, right of B means to the left of B in the diagram.
- Thus, F is at position 4 and B is at position 5.

The complete seating arrangement from left to right (positions 1 to 7) is:
A (pos 1) - D (pos 2, age 25) - C (pos 3, age 15) - F (pos 4) - B (pos 5) - E (pos 6) - G (pos 7)

4. Determining the Ages:
- "The age of D is equal to the total age of his immediate neighbours."
- Immediate neighbours of D are A and C.
- Age of D = Age of A + Age of C
- 25 = Age of A + 15 ⇒ Age of A = 10 years.
- "B is 10 years older than A..."
- Age of B = 10 + 10 = 20 years.
- "...and 10 years younger than G who sits at one of the extreme ends."
- Age of G = Age of B + 10 = 20 + 10 = 30 years.
- "B is 1 year younger than E..."
- Age of E = Age of B + 1 = 20 + 1 = 21 years.
- "...whose age is thrice of age of F."
- Age of E = 3 × Age of F ⇒ 21 = 3 × Age of F ⇒ Age of F = 7 years.

Final Seating & Age Summary:
- Position 1: A (10 years)
- Position 2: D (25 years)
- Position 3: C (15 years)
- Position 4: F (7 years)
- Position 5: B (20 years)
- Position 6: E (21 years)
- Position 7: G (30 years)

5. Evaluating the Question:
The question asks: "___ sits 2nd to the right of the one who is ___ years old." (Facing South, 2nd to the right means 2 places to the left in visual arrangement)

- Checking Option (a) A, 15:
- The person who is 15 years old is C (pos 3).
- 2nd to the right of C (facing South) is position 1, which is A. (This is correct)

- Checking Option (c) B, 30:
- The person who is 30 years old is G (pos 7).
- 2nd to the right of G (facing South) is position 5, which is B. (This is also correct)

Since both options (a) and (c) correctly complete the statement, the correct choice is Both (a) and (c).