Eight Members of a family A,B,C,D,E,F,G and H are sitting around a circular table.while some of them are facing inside and some of them are facing outside.
- The couples are facing inside and singles are facing outside.
- E is the daughter of C.who is sitting second to the right of her husband
- B is sitting opposite to his father and facing outside
- G is the sister-in law of both H and E and also she is not immediate neighbour of neither H or E
- D is sitting between C and G,and is the only group of three females sitting together
- H is facing his Mother C and G is facing her father in Law A
- E is the only daughter in the family and sitting second to the right of her nephew
How to deduce the family tree and seating arrangement in circular table
I have Tried
Family Tree:
From 1 st statement, we deduce E is the female and his Mother is C
From 3 statment , G is sister in Law of both H and E
E and H is married to one person and his sister is E,but we dont know the gender of H and E from third statement
From six statement,H is facing his mother C and G is facing her father-in law A
Now we Know H is the Male and married to female and her sister is G, G is married to Male and his father is A
E is the only Daughter and sitting second to the right of her nephew, from this E is brother son is there
I have tried , but so many blanks are available for deducing the family tree.please guide me.Any help appreciated what i am doing mistake , please rectify
Answer
Here's my attempt:
Let's assume the positions on the table are the wind directions (N, NE, E, ...)
Let's start with saying that $C$ is sitting east.
Statement 2: C is facing inward, since her husband is also present. So her husband is sitting south, again facing inward.
Statement 7, we gather that H is sitting on the western spot, facing inward. This means he must be married.
Statement 5: D is sitting between C and G. Since C sits to the east, and the south spot is C's husband, this means G must be north and D northeast.
Statement 6: A is south. Statement 3: B is sitting opposite to his father and facing outside. The only way they can be opposite eachother, is if F is the father and they occupy north-west and south-east. This means E must be south-west.
Statement 4: G is the sister-in law of both H and E. But G is facing inward, so must have a partner. However, it can't be B (facing outward), A (C's partner) or H (she's his sister-in-law), so G must be a couple with F; who's then facing inward.
At this point, H still needs a partner, and only D and E are left as possibilities. But E is H's sister, so the partner must be D. This also means D is facing inward.
Finally, E must be looking outward because there's nobody left to form a couple with.
Note that G being the sister-in-law then implies that G and D are sisters.
Statement 7: E is second to the right of her nephew. Since F is the partner of G, who's E's sister in law, the nephew in question has to be B. So B is sitting north-west, and F is sitting south-east.
Final results:
North: G, inward.
North-east: D, inward.
East: C, inward.
South-east: F, inward.
South: A, inward.
South-west: E, outward.
West: H, inward.
North-west: B, inward.
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