Question 30

Nine people, A, B, C, D, E, F, G, H, and I, are sitting in a row facing south. E sits in the middle. Three people sit between E and G. Six people sit between G and B. Three people sit between B and A. F sits second to the right of A. I sits fourth to the left of F. I and E are not immediate neighbours. B and C are not neighbours. H sits to the right of D. Who is sitting fourth to the right of G?

Solution

E sits in the middle.

_ _ _ _ E(↓) _ _ _ _

Three people sit between E and G.

Here G is possible in two places which are given below in Case(i) and Case(ii).

Case(i) G(↓) _ _ _ E(↓) _ _ _ _

Case(ii) _ _ _ _ E(↓) _ _ _ G(↓)

Six people sit between G and B. Three people sit between B and A.

Case(i) G(↓) _ _ A(↓) E(↓) _ _ B(↓) _

Case(ii) _ B(↓) _ _ E(↓) A(↓) _ _ G(↓)
F sits second to the right of A. I sits fourth to the left of F.

Case(i) G(↓) F(↓) _ A(↓) E(↓) I(↓) _ B(↓) _

Case(ii) _ B(↓) _ F(↓) E(↓) A(↓) _ I(↓) G(↓)

I and E are not immediate neighbours.

The above given condition is not applicable in Case(i). So this case is eliminated.

Case(ii) _ B(↓) _ F(↓) E(↓) A(↓) _ I(↓) G(↓)

B and C are not neighbours. H sits to the right of D.

H(↓) B(↓) D(↓) F(↓) E(↓) A(↓) C(↓) I(↓) G(↓)
According to the above arrangement, E is sitting fourth to the right of G.


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