Which of the following statement(s) is/ are correct? 

Here, given persons are B, E, G, K, L, M and O.

1) E sits third to the left of M.

2) O is the neighbour of L and M. 

3) G sits two places away from B.

4) M and G do not sit adjacent to each other.

5) K sits four places away from B. Therefore, case 1 and case 2(b) are eliminated. Hence, the final arrangement is as follows

Since, K sits immediate left to M. Therefore, statement first is incorrect.

E sits second to the right of L. Therefore, statement second is incorrect.

Only two persons sit between B and K when counted in the anticlockwise direction to B i.e. to the right of B. Therefore, statement third is correct.

E sits immediate left to G and O sits third to the left or fourth to the right of E. Therefore, statement fourth is incorrect.

Hence, the correct statement is Only two persons sit between B and K when counted in the anticlockwise direction to B.