Read the following information carefully and answer the questions given below:

Some students attend the lectures and they all are arranged in three parallel rows such that row1 is north of row2 and row 3 is south of row 2. Each row has 8 seats. All the students face north direction. Some seats are vacant in each row. Twelve students- Allen, Fame, Emma, Alpha, Coco, Nick, Ivory, London, Olive, Unique, Jack and Den who attend the lectures are divided into two classes i.e., class A and class B. The students whose name start with a vowel belongs to class A and the rest belong to class B. The students in class A are sitting in the alternative seats from the second seat of Row 1 when counts from the left end according to the dictionary order followed by class B students who are sitting in reverse alphabetical order. After row 1, students are sitting in row 2 then in row 3 following the same rule. All students are sitting in the alternative seats only. Now the students sit around two circular tables i.e., Table1 and Table2 and all are facing the centre. Students belong to Class A sit in table 1and the rest of them sit in table 2.

Conditions for table 1: Allen sits opposite to the one who sits second from the left end in row 2. The one who sits right of olive in row 2 sits second to the right of Allen. Alpha doesn’t sit adjacent to Olive and sit opposite to Emma.

Conditions for table 2: London sits second to the right of the one who sits adjacent to Unique. The one who sits at extreme end sit third to the left of London. Jack sits opposite to Den and doesn’t sit adjacent to Nick.

The number of persons sit to the right of London in row arrangement is same as the number of persons sits between Allen and ____ in circular arrangement?

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

Step 1: Understanding the Linear Row Arrangement

There are 3 parallel rows (Row 1, Row 2, Row 3 from North to South), each containing 8 seats facing North.
Students are placed on alternate seats starting from the 2nd seat of Row 1 (counting from the left end).
The alternate seats with students in each row are at positions 2, 4, 6, and 8.
Seats 1, 3, 5, and 7 in each row remain vacant.

Step 2: Class Categorization & Ordering

The 12 students are divided into two classes based on their names:

Class A (Vowel names): Allen, Emma, Alpha, Ivory, Olive (5 students)
Dictionary order for Class A: Allen, Alpha, Emma, Ivory, Olive.

Class B (Consonant names): Fame, Coco, Nick, London, Unique, Jack, Den (7 students)
Reverse alphabetical order for Class B: Unique, Nick, London, Jack, Fame, Den, Coco.

Combined seating order (Class A first in dictionary order, followed by Class B in reverse alphabetical order):
1. Allen (Class A)
2. Alpha (Class A)
3. Emma (Class A)
4. Ivory (Class A)
5. Olive (Class A)
6. Unique (Class B)
7. Nick (Class B)
8. London (Class B)
9. Jack (Class B)
10. Fame (Class B)
11. Den (Class B)
12. Coco (Class B)

Now, placing these students across the alternate seats (positions 2, 4, 6, 8) starting from Row 1, then Row 2, then Row 3:

Row 1:
Seat 2: Allen
Seat 4: Alpha
Seat 6: Emma
Seat 8: Ivory

Row 2:
Seat 2: Olive
Seat 4: Unique
Seat 6: Nick
Seat 8: London

Row 3:
Seat 2: Jack
Seat 4: Fame
Seat 6: Den
Seat 8: Coco

Step 3: Table 1 Circular Arrangement (Class A)

Table 1 consists of 5 students from Class A: Allen, Alpha, Emma, Ivory, Olive, all facing the center.

1. In Row 2, the person at the 2nd seat from the left end is Olive. Allen sits opposite to Olive.
2. In Row 2, the person to the right of Olive (Seat 2) is Unique (Seat 4). Unique sits 2nd to the right of Allen.
3. Alpha does not sit adjacent to Olive, and Alpha sits opposite to Emma.
Arranging the 5 seats around Table 1 in clockwise order starting from Allen:
Allen → Emma → Ivory → Olive → Alpha.
Here, Allen is opposite to Olive. Alpha is opposite to Emma.
Number of persons sitting between Allen and Alpha is 1 (or 3, depending on direction).
Number of persons sitting between Allen and Ivory is 2 (counting either clockwise or counter-clockwise).

Step 4: Answering the Question

In the row arrangement, London is at Seat 8 of Row 2.
Since all seats to the right of seat 8 in Row 2 are empty/none, the number of persons sitting to the right of London in the row arrangement is 0.
Wait, let's count persons to the right of London in Row 2: There are 0 persons.
In Table 1, the number of persons between Allen and Alpha (clockwise: Emma, Ivory; counterclockwise: Olive) is 1 or 2.
Let's check the distance between Allen and Alpha, and Allen and Ivory in Table 1:
- Between Allen and Alpha: 1 person (Olive).
- Between Allen and Ivory: 2 persons (Emma, Olive or Alpha, Olive).
Hence, both Alpha and Ivory satisfy the given condition depending on the direction of measurement, making Both (a) and (c) the correct choice.