Seven person namely – A, B, C, D, E, F and G are sitting in a row facing north. Each person likes different fruits viz. Banana, Mango, Papaya, Guava, Orange, Grapes and Litchi. All the given information are not necessary in same order. One who likes Banana sits third from right end. E, who doesn’t sit neighbour of one who likes Banana, sits second to left of one who likes Papaya. Only three person sits between C and one who likes Banana. E likes Litchi. Only two person sits between D and one who likes Papaya. How many person sits right of one who likes Grapes?

I. B, who neither sits adjacent to one who likes Litchi nor one who likes Papaya, sits second to right of one who likes Mango. Only three person sits between one who likes Orange and A, who sits adjacent to E.

II. Only two person sits between D and G, who sits with one who likes Mango. Only one person sits between one who likes Mango and one who likes Guava.

Solution

We have: One who likes Banana sits third from right end. Only three person sits between C and one who likes Banana, that means C sits at extreme left end.  E, who doesn’t sit neighbor of one who likes Banana, sits second to left of one who likes Papaya. E likes Litchi, that means E sits second from left end. Only two person sits between D and one who likes Papaya, that D sits at extreme right end. Based on above given information we have: Clearly, we don’t know exact position one who likes Grapes. Hence, statement I is not sufficient. From II: We have:  Only two person sits between D and G, who sits with one who likes Mango, that means G likes Papaya. Only one person sits between one who likes Mango and one who likes Guava, that means C likes Guava. Based on above given information we have: Clearly, we don’t know exact position one who likes Grapes. Hence, statement II is not sufficient. From I and II: After combining statement I and II we have: Clearly, one person sits immediate right of one who likes Grapes. Hence, statement I and II together sufficient.