It is given that,
Eight persons - A, B, C, D, E, F, G and H are sitting in a linear row, but not necessarily in the same order.
All are facing in the north direction.
From statement I alone:
B, who sits immediate to the right of G, sits fifth to the left of D.
F sits third to the right of H.
Thus, there are so many possibilities. Therefore, no definite arrangement can be established.
So, statement I alone is not sufficient to answer the question.
From statement II alone:
Two persons sit between A and E.
Neither A nor F is neighbour of B. Neither D nor F is neighbour of E.
Thus, there are so many possibilities. Therefore, no definite arrangement can be established.
So, statement II alone is not sufficient to answer the question.
From statements I and II together:
Neither A nor F is neighbour of B. Two persons sit between A and E.
Case 1 | G | B | E | | | A | D | |
Case 1a | G | B | | | E | | D | A |
Case 1b | G | B | | | A | | D | E |
Case 2 | A | G | B | E | | | | D |
Case 2a | | G | B | E | | | A | D |
F sits third to the right of H.
Neither D nor F is neighbour of E. Thus, case 1a, case 1b, case 2 and case 2a are invalid.
Therefore, we get:
So, only one person is sitting between E and H.
So, both statements I and II together is sufficient to answer the question.