A certain number of people are sitting in a row, facing north. N is sitting third to the left of P. M is sitting third to the left of N. O is sitting third to the left of M. M is sitting between O and N. N is sitting between M and P. If no other person is sitting in the row, what is the total number of persons seated?

Find the odd one out from the pairs:

- O & M
- N & P
- M & N
- O & P

Question

A certain number of people are sitting in a row, facing north. N is sitting third to the left of P. M is sitting third to the left of N. O is sitting third to the left of M. M is sitting between O and N. N is sitting between M and P. If no other person is sitting in the row, what is the total number of persons seated?

Find the odd one out from the pairs:

- O & M
- N & P
- M & N
- O & P

Accepted Answer

**Solution:**

1. Given conditions:
   - N is sitting third to the left of P (meaning two people between N and P).
   - M is sitting third to the left of N (two people between M and N).
   - O is sitting third to the left of M (two people between O and M).
   - M is sitting between O and N.
   - N is sitting between M and P.

2. Assign positions starting from O at position 1:
   - O at position 1.
   - Since O and M have two people between them, M is at position 4.
   - Since M and N have two people between them, N is at position 7.
   - Since N and P have two people between them, P is at position 10.

3. Total number of persons seated = 10 (positions 1 to 10).

4. Analyze pairs for number of people between:
   - O & M: positions 1 and 4, two people between (positions 2 and 3).
   - N & P: positions 7 and 10, two people between (positions 8 and 9).
   - M & N: positions 4 and 7, two people between (positions 5 and 6).
   - O & P: positions 1 and 10, eight people between (positions 2 to 9).

5. The pair O & P is the only one with more than two people between them.

**Answer:** O & P

Answer

Answer

Answer