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
B
Third to the right
C
Fourth to the right
D
Third to the left

Solution

## The correct option is D Third to the leftFollowing 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 $$B$$.Logical Reasoning

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