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Question

(i) Six friends A, B, C, D, E and F are sitting along the sides of a haxogonal table for playing a game, though not necessarily in the same order.
(ii) F, who is sitting exactly opposite of A, is to the immediate right B.
(iii) D is between A and B and is exactly opposite to C.

Who is sitting opposite B?

A
E
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B
F
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C
A
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D
C
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Solution

The correct option is A E
(a)
Construct the figure


From the second statement it is clear that F and A are sitting opposite to each other and F is to the immediate right of B. This sitting arrangement can be like this


From the third statement it is clear that D is sitting between A and B and is opposite to C. The sitting arrangement can be like this


There is only one vacant position for E, so the overall sitting arrangement will be like this


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