Ten persons—M, N, O, P, Q, T, U, V, W, and X—are seated around a circular table, not necessarily in the same order. Five of them face inside, and the other five face outside. The following conditions apply:

- No two persons with consecutive alphabetical names sit next to each other.
- Not more than two neighbors face the same direction.
- Two persons sit between W and N.
- M sits 3rd to the right of N.
- Immediate neighbors of M face opposite directions.
- X and V sit immediately to the left of each other but are not immediate neighbors of N.
- O and P sit 2nd to the right of each other.
- No one sits between O and X on either side.
- W and Q face the same direction.
- X does not face outside.
- Immediate neighbors of U face the same direction but not the same as U.

Based on the above, which of the following statements is true?

I. Both V and T face the same direction

II. O and T are not immediate neighbors

III. V sits 3rd to the left of W

Question

Ten persons—M, N, O, P, Q, T, U, V, W, and X—are seated around a circular table, not necessarily in the same order. Five of them face inside, and the other five face outside. The following conditions apply:

- No two persons with consecutive alphabetical names sit next to each other.
- Not more than two neighbors face the same direction.
- Two persons sit between W and N.
- M sits 3rd to the right of N.
- Immediate neighbors of M face opposite directions.
- X and V sit immediately to the left of each other but are not immediate neighbors of N.
- O and P sit 2nd to the right of each other.
- No one sits between O and X on either side.
- W and Q face the same direction.
- X does not face outside.
- Immediate neighbors of U face the same direction but not the same as U.

Based on the above, which of the following statements is true?

I. Both V and T face the same direction

II. O and T are not immediate neighbors

III. V sits 3rd to the left of W

Accepted Answer

**Solution:**

1. Since there are 10 persons sitting around a circular table, and 5 face inside while 5 face outside, we start by placing N and W such that exactly two persons sit between them.

2. M is seated 3rd to the right of N, and immediate neighbors of M face opposite directions.

3. X and V sit immediately to the left of each other but are not neighbors of N, and X does not face outside.

4. O and P are seated 2nd to the right of each other, and no one sits between O and X on either side, indicating O and X are adjacent.

5. W and Q face the same direction.

6. Immediate neighbors of U face the same direction, but different from U's direction.

7. No two persons with consecutive alphabetical names sit adjacent.

By carefully arranging the seating based on these conditions, the following conclusions are drawn:

- Statement I: Both V and T face the same direction — This is not necessarily true based on the arrangement.

- Statement II: O and T are not immediate neighbors — This is true as per the seating constraints.

- Statement III: V sits 3rd to the left of W — This is not supported by the arrangement.

**Answer:** Only II

Answer

Answer

Answer

Answer