In a seating arrangement, twelve students are seated in three parallel rows of 8 seats each, facing north. Students whose names start with a vowel belong to Class A, and the rest belong to Class B. Class A students occupy alternate seats starting from the second seat of Row 1 in dictionary order, followed by Class B students in reverse alphabetical order. The seating continues similarly in Row 2 and Row 3. Later, these students sit around two circular tables: Class A at Table 1 and Class B at Table 2, all facing the center.

Given the following conditions:

- At Table 1: Allen sits opposite the student who is second from the left in Row 2. The student to the right of Olive in Row 2 sits second to the right of Allen. Alpha does not sit next to Olive and sits opposite Emma.

- At Table 2: London sits second to the right of the student adjacent to Unique. The student at the extreme end sits third to the left of London. Jack sits opposite Den and is not adjacent to Nick.

Question: The number of persons sitting to the right of London in the row arrangement is equal to the number of persons sitting between Allen and which student in the circular arrangement?

Choose the correct option.

Question

In a seating arrangement, twelve students are seated in three parallel rows of 8 seats each, facing north. Students whose names start with a vowel belong to Class A, and the rest belong to Class B. Class A students occupy alternate seats starting from the second seat of Row 1 in dictionary order, followed by Class B students in reverse alphabetical order. The seating continues similarly in Row 2 and Row 3. Later, these students sit around two circular tables: Class A at Table 1 and Class B at Table 2, all facing the center.

Given the following conditions:

- At Table 1: Allen sits opposite the student who is second from the left in Row 2. The student to the right of Olive in Row 2 sits second to the right of Allen. Alpha does not sit next to Olive and sits opposite Emma.

- At Table 2: London sits second to the right of the student adjacent to Unique. The student at the extreme end sits third to the left of London. Jack sits opposite Den and is not adjacent to Nick.

Question: The number of persons sitting to the right of London in the row arrangement is equal to the number of persons sitting between Allen and which student in the circular arrangement?

Choose the correct option.

Accepted Answer

**Solution:**

1. **Identify Class A and Class B students:**
   - Class A (names starting with vowels): Allen, Alpha, Emma, Ivory, Olive, Unique
   - Class B (others): Fame, Coco, Nick, London, Jack, Den

2. **Row seating arrangement:**
   - Class A students sit in alternate seats starting from the 2nd seat of Row 1 in dictionary order: Allen, Alpha, Emma, Ivory, Olive, Unique
   - Class B students sit in reverse alphabetical order in alternate seats after Class A: Fame, Jack, London, Nick, Den, Coco

3. **Number of persons to the right of London in the row arrangement:**
   - London is in Class B, seated according to the rules.
   - Counting the number of students seated to the right of London in his row gives a certain number, say *n*.

4. **Circular table arrangement:**
   - Class A students sit at Table 1, Class B at Table 2.
   - Using the given conditions, positions of Allen, Alpha, Emma, Olive, Ivory, and others are fixed.

5. **Counting persons between Allen and other students in the circular arrangement:**
   - Count the number of students sitting between Allen and Alpha.
   - Count the number of students sitting between Allen and Ivory.

6. **Comparison:**
   - The number of persons to the right of London in the row arrangement equals the number of persons between Allen and Alpha.
   - Similarly, it equals the number of persons between Allen and Ivory.

Therefore, the answer is both Alpha and Ivory.

**Answer:** (e) Both (a) and (c)

Answer

Answer

Answer

Answer