The question given below consists of three statements

Solution

From statement I, L sits at one of the extreme ends. Two persons sit between G and L. H sits second to the left of F. So, from statement I, L either sits at the extreme left or right end so, we can’t fix either L or G. From statement II, one person sits between G and K. Not more than two persons sit between I and K. I and J are immediate neighbors. From statement II, also, K either sits to the left or right of G which means we can’t fix I. From statement I and II: From statement I and II we have three cases i.e., Case I: L          K         H         G         F          I           J Case II: ____   J          I           G         F          K         L Case III: H         K         F          G         I           J          L So, case I and II are invalid. From case III, K sits 3rd to the left of I. So, statement I and II together are sufficient to answer the question. From statement I and III: L sits at one of the extreme ends. Two persons sit between G and L. H sits second to the left of F. Four persons sit between L and K. G sits second to the right of K. Only one person sits between either to the left or right of J. So, we have 2 cases i.e., Case I: I           K         H         G         F          J          L Case II: H         K         F          G         I           J          L So, from statement I and III together are not sufficient to answer the question. From statement II and III: One person sits between G and K. Not more than two persons sit between I and K. I and J are immediate neighbors. Four persons sit between L and K. G sits second to the right of K. Only one person sits between either to the left or right of J. Case I: H         K         F          G         I           J          L Case II: K         J          G         F          ____   L          _____ So, case II is invalid. From case I, K sits second to right of I. So, the statement in II and III together are sufficient to answer the question.