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Question

A, B, C, D, E, F, G, H and K are sitting around a circle facing the centre. F is fourth to the right of A, who is third to the right of B. K is fourth to the left of B and third to the right of D. C is third to the right of H. E is second to the left of G. What is E's position with respect to B?

A
Second to the left
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B
Third to the right
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C
Fourth to the right
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D
Third to the left
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Solution

The correct option is D Third to the left
Following steps are used for the seating arrangements:-
(i)We have to make 9 spots in which the seating arrangement is made.
(ii)Then we take a single Letter from A,B,C,D,E,F,G,H,K let us take A first and allocate any spot to it then it is given that " F is fourth to the right of A" so we allocate F a spot leaving 3 spots towards the right of A when A is facing towards the center.
(iii) Now "A is third to the right of B" so we allocate B a spot leaving 2 spots to the left of A that is facing towards the center.
(iv) Now "K is fourth to the left of B" so we allocate K a spot leaving 3 spots to the left of B which is facing towards the center.
(v)Now "K is third to the right of D" so we allocate D leaving 2 spots to the left of K which is facing towards the center.
(vi)Now "C is third to the right of H" so we allocate C a spot between A and K (both have been allocated already before) as their are only 2 spots left that have a gap of 2 spots(in which A and D are already being allocated) and since C is third to the right of H then H is third to the left of C so we allocate H a spot between B and D.
(vii) Now "E is second to the left of G " so as only two spots are left now and since E is second to the left of G so we allocate E between K and F and G between F and B.
Hence, E is third to the left of B.

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