How many persons are standing between Rohit and Vijay in a straight line of 15 persons (Note: all are standing in a straight line facing north)?

I. Ajay stands eleventh from the right end of the line. Vijay stands exactly at the center of the line. There are as many persons to the right of Rohit as there are to the left of Ajay.

II. Rahul stands fourth from the left end of the line. Ajay is the immediate neighbor of Rahul. Only two persons stand between Vijay and Ajay. Only two persons stand between Rohit and Ajay.

Question

How many persons are standing between Rohit and Vijay in a straight line of 15 persons (Note: all are standing in a straight line facing north)?

I. Ajay stands eleventh from the right end of the line. Vijay stands exactly at the center of the line. There are as many persons to the right of Rohit as there are to the left of Ajay.

II. Rahul stands fourth from the left end of the line. Ajay is the immediate neighbor of Rahul. Only two persons stand between Vijay and Ajay. Only two persons stand between Rohit and Ajay.

Accepted Answer

**Solution:**

We have a line of 15 persons facing north.

**Statement I Analysis:**
1. Ajay stands 11th from the right end.
   - Since total persons = 15, Ajay's position from left = 15 - 11 + 1 = 5.
2. Vijay stands exactly at the center of the line.
   - Center position in 15 persons = 8th from either end.
3. There are as many persons to the right of Rohit as there are to the left of Ajay.
   - Persons to the left of Ajay = 4 (positions 1 to 4).
   - So, persons to the right of Rohit = 4.
   - Hence, Rohit's position from right = 4 + 1 = 5th from right.
   - Rohit's position from left = 15 - 5 + 1 = 11.

Positions summary from left:
- Rahul: Unknown here
- Ajay: 5
- Vijay: 8
- Rohit: 11

Number of persons between Rohit (11) and Vijay (8) = 11 - 8 - 1 = 2.

So, from Statement I alone, we can find the number of persons between Rohit and Vijay.

**Statement II Analysis:**
1. Rahul stands 4th from the left.
2. Ajay is immediate neighbor of Rahul.
   - So Ajay can be either 3rd or 5th.
3. Only two persons stand between Vijay and Ajay.
4. Only two persons stand between Rohit and Ajay.

Check possible positions:
- If Ajay is 5th (neighbor right of Rahul at 4th), then:
  - Vijay can be at 8th (Ajay + 3 positions, 2 persons between), matches statement.
  - Rohit can be at 2nd or 8th (2 persons between Ajay and Rohit).
  - 8th is Vijay's position, so Rohit must be 2nd.

Number of persons between Rohit (2) and Vijay (8) = 8 - 2 - 1 = 5.

Hence, from Statement II alone, we can find the number of persons between Rohit and Vijay.

**Conclusion:**
- Statement I alone is sufficient.
- Statement II alone is sufficient.

**Answer:** Data in statements I alone or in Statement II alone are sufficient to answer the question.

Answer

Answer

Answer

Answer