Nine friends, A, B, C, D, E, F, G, H, and I live in an apartment complex. The Apartment has nine floors, numbered 1 to 9 from bottom to top, and only one flat per floor. Each flat accommodates a single friend.All nine friends are the current national champions in different sports, among Archery, Tennis, Horse-Riding, Swimming, Golf, Badminton, Wrestling, Chess and Judo.Among these sports, Archery, Tennis, horse riding, Swimming and Golf are considered outdoor sports, and the remaining are indoor sports.Note:Adjacent => just above or below the person.Above => can be anywhere above, not just above.Below => can be anywhere below, not just below.The following additional information is given:1) Persons playing indoor sports don’t live on the bottom-most or top-most floors, and there are two indoor sports players on the top-5 floors, i.e., 5,6,7,8,9.2) B and C play indoor sports, and three friends live between them.3) I plays Badminton, and D, a tennis player, is the only outdoor player living below him.4) Only one pair of indoor players are living on adjacent floors to each other.5) F is a swimmer, and he lives sandwiched between two indoor players.6) H is an archer and lives in one of the top three floors, i.e., 7,8,9.7) E lives adjacent to A, and a wrestler lives between F and A.8) A is a horse-rider, and he lives on the 5th floor of the Apartment and does not live above B.
Question
Nine friends, A, B, C, D, E, F, G, H, and I live in an apartment complex. The Apartment has nine floors, numbered 1 to 9 from bottom to top, and only one flat per floor. Each flat accommodates a single friend.All nine friends are the current national champions in different sports, among Archery, Tennis, Horse-Riding, Swimming, Golf, Badminton, Wrestling, Chess and Judo.Among these sports, Archery, Tennis, horse riding, Swimming and Golf are considered outdoor sports, and the remaining are indoor sports.Note:Adjacent => just above or below the person.Above => can be anywhere above, not just above.Below => can be anywhere below, not just below.The following additional information is given:1) Persons playing indoor sports don’t live on the bottom-most or top-most floors, and there are two indoor sports players on the top-5 floors, i.e., 5,6,7,8,9.2) B and C play indoor sports, and three friends live between them.3) I plays Badminton, and D, a tennis player, is the only outdoor player living below him.4) Only one pair of indoor players are living on adjacent floors to each other.5) F is a swimmer, and he lives sandwiched between two indoor players.6) H is an archer and lives in one of the top three floors, i.e., 7,8,9.7) E lives adjacent to A, and a wrestler lives between F and A.8) A is a horse-rider, and he lives on the 5th floor of the Apartment and does not live above B.
Solution
Sure, I understand. Let's solve this step by step.
First, let's list down the information we have:
- Indoor sports players don't live on the bottom-most or top-most floors, and there are two indoor sports players on the top-5 floors, i.e., 5,6,7,8,9.
- B and C play indoor sports, and three friends live between them.
- I plays Badminton, and D, a tennis player, is the only outdoor player living below him.
- Only one pair of indoor players are living on adjacent floors to each other.
- F is a swimmer, and he lives sandwiched between two indoor players.
- H is an archer and lives in one of the top three floors, i.e., 7,8,9.
- E lives adjacent to A, and a wrestler lives between F and A.
- A is a horse-rider, and he lives on the 5th floor of the Apartment and does not live above B.
From point 8, we know that A lives on the 5th floor and is a horse-rider. Since A does not live above B and A is on the 5th floor, B must live on the 6th, 7th, 8th, or 9th floor.
From point 2, we know that B and C play indoor sports and three friends live between them. Since B can't live on the 9th floor (as it's an outdoor sport), the only possible floors for B are 6th and 7th. If B lives on the 6th floor, C would live on the 1st floor, but that's not possible as the 1st floor is for outdoor sports. So, B must live on the 7th floor and C on the 3rd floor.
From point 3, we know that I plays Badminton and lives above D who plays Tennis. Since D is the only outdoor player living below I, I can't live on the 6th floor (as it's for indoor sports). So, the only possible floors for I are 8th and 9th. But since H (an archer) must live on one of the top three floors (7,8,9) and 7th and 8th are already occupied, H must live on the 9th floor. So, I lives on the 8th floor and D on the 4th floor.
From point 5, we know that F is a swimmer and lives between two indoor players. The only place left for F is the 2nd floor, sandwiched between C (3rd floor) and another indoor player on the 1st floor.
From point 7, we know that E lives adjacent to A and a wrestler lives between F and A. So, E must live on the 4th or 6th floor. But since the 4th floor is already occupied by D, E must live on the 6th floor. The wrestler then must live on the 3rd or 1st floor. But since the 3rd floor is already occupied by C, the wrestler lives on the 1st floor.
The remaining sports are Golf and Judo. Since Golf is an outdoor sport, the player living on the 1st floor must be the Judo player and the player on the 9th floor must be the Golf player.
So, the final arrangement is:
1st floor: Judo 2nd floor: F - Swimming 3rd floor: C - Indoor sport 4th floor: D - Tennis 5th floor: A - Horse-riding 6th floor: E - Indoor sport 7th floor: B - Indoor sport 8th floor: I - Badminton 9th floor: H - Archery
Please note that we don't have enough information to determine the specific indoor sports for C, E, and B.
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