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# 8 people: A, B, C, D, E, F, G, H - are sitting around a circular table

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Joined: 22 Aug 2013
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8 people: A, B, C, D, E, F, G, H - are sitting around a circular table  [#permalink]

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24 Feb 2018, 00:44
00:00

Difficulty:

65% (hard)

Question Stats:

57% (02:35) correct 43% (02:21) wrong based on 23 sessions

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8 people: A, B, C, D, E, F, G, H - are sitting around a circular table, equidistant from each other. All of them are facing the table, so that there are 4 pairs of people who are sitting opposite to each other, facing each other. Who is sitting opposite to A, facing A?

(1) B is sitting exactly 3 places to the right of A, while G is sitting exactly 3 places to the right of H.

(2) C and E are sitting opposite to each other, facing each other. A and H are not adjacent to each other.
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8 people: A, B, C, D, E, F, G, H - are sitting around a circular table  [#permalink]

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24 Feb 2018, 02:42
amanvermagmat wrote:
8 people: A, B, C, D, E, F, G, H - are sitting around a circular table, equidistant from each other. All of them are facing the table, so that there are 4 pairs of people who are sitting opposite to each other, facing each other. Who is sitting opposite to A, facing A?

(1) B is sitting exactly 3 places to the right of A, while G is sitting exactly 3 places to the right of H.

(2) C and E are sitting opposite to each other, facing each other. A and H are not adjacent to each other.

Instead of trying to solve this abstractly, we'll draw it out.
This is an Alternative approach.

Writing 8 X's in a circle we can SEE that we need to find the person 4 places to the right of A.

(1) our order contains AXXB and HXXG. We can draw this as AHXBGX so that G and A are opposite of as AXHBXG so that A and an unknown are opposite.
Insufficient!

(2) our order contains CXXXE and A-some number of X-H. Similarly to the above, this can be drawn different ways and is insufficient.
Insufficient!

Combined:
Once again using our drawing, we can see that the only place we can put H is in front of A (as otherwise there is no way to put C and E opposite each other)
Sufficient!

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Re: 8 people: A, B, C, D, E, F, G, H - are sitting around a circular table  [#permalink]

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27 Aug 2019, 03:11
For these types of Position-cum-Geometry questions, it is best to follow the approach of Draw and Redraw.

Let's start by jotting down what we know.
We know that there are 8 points on the circle equidistant from each other.

We want to know who is sitting opposite A.

We need the positions of 8 or less number of people to get the answer to the question.

See the attachment for the positions.

Please give kudos if you liked the solution.

Deepti Singh
Master Trainer - GMAT
Manya - The Princeton Review

Attachments

new doc 2019-08-27 15.33.55_1.jpg [ 228.87 KiB | Viewed 654 times ]

Re: 8 people: A, B, C, D, E, F, G, H - are sitting around a circular table   [#permalink] 27 Aug 2019, 03:11
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