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Question :

The question below is followed by three statements numbered I, II and III. You have to decide whether the data provided in the statements are sufficient to answer the question.

Eight persons are sitting on a bench facing north. A is towards the left of D. B is not a neighbour of E. Who are sitting at the corners?

I. C is sitting second to the left of G. F is sitting second to the right of E. H is sitting to the immediate right of B. A is not a neighbour of C or G.

II. A is sitting to the immediate left of F. C is sitting third to the right of E. D is sitting second to the left of B. G is sitting second to the left of H.

III. Three persons are sitting in between B and F. E is sitting third to the left of C. D is sitting second to the left of B. H is sitting second to the right of G.

1. If the data in statements II and either I or III together are sufficient to answer the question

2. If the data in statements III and either I or II together are sufficient to answer the question

3. If the data in statements I and either II or III together are sufficient to answer the question

4. If the data in all the three statements together are necessary to answer the question

5. If the data in any two of the three statements together are sufficient to answer the question

Correct Answer : 5
Solution :

From I and II:

C is sitting second to the left of G. C is sitting third to the right of E. G is sitting second to the left of H.

F is sitting second to the right of E. H is sitting to the immediate right of B. A is sitting to the immediate left of F. D is sitting second to the left of B.

So, H and E are sitting at the corners. So, statement I and II are sufficient together.

From II and III:

Three persons are sitting in between B and F. D is sitting second to the left of B.

C is sitting third to the right of E. B is not a neighbour of E.

H is sitting second to the right of G. A is towards the left of D. So, case 1 is invalid.

So, H and E are sitting at the corners. So, statement II and III are sufficient together.

From I and III:

E is sitting third to the left of C. C is sitting second to the left of G. F is sitting second to the right of E.

H is sitting to the immediate right of B. H is sitting second to the right of G

A is not a neighbour of C or G. D is sitting second to the left of B.

So, H and E are sitting at the corners. So, statement I and II are sufficient together.

Hence, any two of the three statements are sufficient together.

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