puzzle round table 10 people

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











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Ten persons are sitting around a circular table according to the following conditions:



(i) There are two persons between X and U.



(ii) Y is neither adjacent to X nor opposite T.



(iii) P and T are adjacent to W.



(iv) Q is opposite S who is to the right of V.



(v) R and W have four persons between them.



(vi) There are two persons between R and V.



Find the relative positions of each the persons. A diagram is preferable.



Source: TIME.com










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    Ten persons are sitting around a circular table according to the following conditions:



    (i) There are two persons between X and U.



    (ii) Y is neither adjacent to X nor opposite T.



    (iii) P and T are adjacent to W.



    (iv) Q is opposite S who is to the right of V.



    (v) R and W have four persons between them.



    (vi) There are two persons between R and V.



    Find the relative positions of each the persons. A diagram is preferable.



    Source: TIME.com










    share|improve this question























      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      Ten persons are sitting around a circular table according to the following conditions:



      (i) There are two persons between X and U.



      (ii) Y is neither adjacent to X nor opposite T.



      (iii) P and T are adjacent to W.



      (iv) Q is opposite S who is to the right of V.



      (v) R and W have four persons between them.



      (vi) There are two persons between R and V.



      Find the relative positions of each the persons. A diagram is preferable.



      Source: TIME.com










      share|improve this question













      Ten persons are sitting around a circular table according to the following conditions:



      (i) There are two persons between X and U.



      (ii) Y is neither adjacent to X nor opposite T.



      (iii) P and T are adjacent to W.



      (iv) Q is opposite S who is to the right of V.



      (v) R and W have four persons between them.



      (vi) There are two persons between R and V.



      Find the relative positions of each the persons. A diagram is preferable.



      Source: TIME.com







      logical-deduction






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 1 hour ago









      sam

      636




      636




















          2 Answers
          2






          active

          oldest

          votes

















          up vote
          2
          down vote













          The final configuration is:





           T Q U
          W Y
          P R
          V S X



          Step by step solution (where an uppercase letter is a known position, and a lowercase is a possible position):




          (iv) Q is opposite S who is to the right of V.


           . Q .
          . .
          . .
          V S .


          (vi) There are two persons between R and V.
           r Q .
          . .
          . r
          V S .


          (v) R and W have four persons between them.
           r Q .
          w .
          . r
          V S w


          (iii) P and T are adjacent to W.
           pt Q .
          W .
          pt R
          V S .


          (i) There are two persons between X and U.
           pt Q xu
          W .
          pt R
          V S xu


          (ii) Y is neither adjacent to X nor opposite T.
           T Q U
          W Y
          P R
          V S X






          share|improve this answer




















          • What the heck 8 seconds too late T_T
            – Kevin L
            43 mins ago










          • @KevinL - And I suspect we both spent more time fighting with the formatting than with the solving. :P
            – Alconja
            39 mins ago










          • Lol, exactly :D
            – Kevin L
            28 mins ago

















          up vote
          0
          down vote













          Since I am unable to upload images (don't know why), assume the circle is rectangle



          So, from condition (III), we get (Let % = Other People and # = Blank Space)




          P W T
          % # %
          % # %
          % % %
          As P and T are adjacent to W




          Then, from condition (V),




          P W T
          % # %
          % # %
          % R %
          As there are supposed to be 4 persons between R and W




          After that, from condition (VI), we see that there are 2 possibilities :




          No. 1
          P W T
          V # %
          % # %
          % R %
          OR
          No. 2
          P W T
          % # V
          % # %
          % R %




          Now, with condition (IV), possibility No. 2 can be eliminated (Big thanks to @Alconja for telling me)




          As S is supposed to be the right of V which is not possible in No. 2. Hence, we continue with No.1
          P W T
          V # Q
          S # %
          % R %




          Then, with condition (I) and (II), we see that there are 2 possibilities again :




          No.1
          P W T
          V # Q
          S # X
          U R Y
          OR
          No. 2
          P W T
          V # Q
          S # U
          X R Y




          Since, Y is not adjacent to X,




          No. 2 is the only possibility




          So, the final answer is




          P W T
          V # Q
          S # U
          X R Y







          share|improve this answer






















          • Your interpretation of "to the right" is inverted (usually it would be to the person's right, as they faced the centre of the table), which means * ends up opposite T, breaking rule (ii).
            – Alconja
            35 mins ago










          • hmm... lemme check @Alconja
            – Kevin L
            27 mins ago











          • @Alconja Thanks for telling me. Just edited the answer :D
            – Kevin L
            22 mins ago










          Your Answer




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          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          up vote
          2
          down vote













          The final configuration is:





           T Q U
          W Y
          P R
          V S X



          Step by step solution (where an uppercase letter is a known position, and a lowercase is a possible position):




          (iv) Q is opposite S who is to the right of V.


           . Q .
          . .
          . .
          V S .


          (vi) There are two persons between R and V.
           r Q .
          . .
          . r
          V S .


          (v) R and W have four persons between them.
           r Q .
          w .
          . r
          V S w


          (iii) P and T are adjacent to W.
           pt Q .
          W .
          pt R
          V S .


          (i) There are two persons between X and U.
           pt Q xu
          W .
          pt R
          V S xu


          (ii) Y is neither adjacent to X nor opposite T.
           T Q U
          W Y
          P R
          V S X






          share|improve this answer




















          • What the heck 8 seconds too late T_T
            – Kevin L
            43 mins ago










          • @KevinL - And I suspect we both spent more time fighting with the formatting than with the solving. :P
            – Alconja
            39 mins ago










          • Lol, exactly :D
            – Kevin L
            28 mins ago














          up vote
          2
          down vote













          The final configuration is:





           T Q U
          W Y
          P R
          V S X



          Step by step solution (where an uppercase letter is a known position, and a lowercase is a possible position):




          (iv) Q is opposite S who is to the right of V.


           . Q .
          . .
          . .
          V S .


          (vi) There are two persons between R and V.
           r Q .
          . .
          . r
          V S .


          (v) R and W have four persons between them.
           r Q .
          w .
          . r
          V S w


          (iii) P and T are adjacent to W.
           pt Q .
          W .
          pt R
          V S .


          (i) There are two persons between X and U.
           pt Q xu
          W .
          pt R
          V S xu


          (ii) Y is neither adjacent to X nor opposite T.
           T Q U
          W Y
          P R
          V S X






          share|improve this answer




















          • What the heck 8 seconds too late T_T
            – Kevin L
            43 mins ago










          • @KevinL - And I suspect we both spent more time fighting with the formatting than with the solving. :P
            – Alconja
            39 mins ago










          • Lol, exactly :D
            – Kevin L
            28 mins ago












          up vote
          2
          down vote










          up vote
          2
          down vote









          The final configuration is:





           T Q U
          W Y
          P R
          V S X



          Step by step solution (where an uppercase letter is a known position, and a lowercase is a possible position):




          (iv) Q is opposite S who is to the right of V.


           . Q .
          . .
          . .
          V S .


          (vi) There are two persons between R and V.
           r Q .
          . .
          . r
          V S .


          (v) R and W have four persons between them.
           r Q .
          w .
          . r
          V S w


          (iii) P and T are adjacent to W.
           pt Q .
          W .
          pt R
          V S .


          (i) There are two persons between X and U.
           pt Q xu
          W .
          pt R
          V S xu


          (ii) Y is neither adjacent to X nor opposite T.
           T Q U
          W Y
          P R
          V S X






          share|improve this answer












          The final configuration is:





           T Q U
          W Y
          P R
          V S X



          Step by step solution (where an uppercase letter is a known position, and a lowercase is a possible position):




          (iv) Q is opposite S who is to the right of V.


           . Q .
          . .
          . .
          V S .


          (vi) There are two persons between R and V.
           r Q .
          . .
          . r
          V S .


          (v) R and W have four persons between them.
           r Q .
          w .
          . r
          V S w


          (iii) P and T are adjacent to W.
           pt Q .
          W .
          pt R
          V S .


          (i) There are two persons between X and U.
           pt Q xu
          W .
          pt R
          V S xu


          (ii) Y is neither adjacent to X nor opposite T.
           T Q U
          W Y
          P R
          V S X







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 44 mins ago









          Alconja

          21k1287141




          21k1287141











          • What the heck 8 seconds too late T_T
            – Kevin L
            43 mins ago










          • @KevinL - And I suspect we both spent more time fighting with the formatting than with the solving. :P
            – Alconja
            39 mins ago










          • Lol, exactly :D
            – Kevin L
            28 mins ago
















          • What the heck 8 seconds too late T_T
            – Kevin L
            43 mins ago










          • @KevinL - And I suspect we both spent more time fighting with the formatting than with the solving. :P
            – Alconja
            39 mins ago










          • Lol, exactly :D
            – Kevin L
            28 mins ago















          What the heck 8 seconds too late T_T
          – Kevin L
          43 mins ago




          What the heck 8 seconds too late T_T
          – Kevin L
          43 mins ago












          @KevinL - And I suspect we both spent more time fighting with the formatting than with the solving. :P
          – Alconja
          39 mins ago




          @KevinL - And I suspect we both spent more time fighting with the formatting than with the solving. :P
          – Alconja
          39 mins ago












          Lol, exactly :D
          – Kevin L
          28 mins ago




          Lol, exactly :D
          – Kevin L
          28 mins ago










          up vote
          0
          down vote













          Since I am unable to upload images (don't know why), assume the circle is rectangle



          So, from condition (III), we get (Let % = Other People and # = Blank Space)




          P W T
          % # %
          % # %
          % % %
          As P and T are adjacent to W




          Then, from condition (V),




          P W T
          % # %
          % # %
          % R %
          As there are supposed to be 4 persons between R and W




          After that, from condition (VI), we see that there are 2 possibilities :




          No. 1
          P W T
          V # %
          % # %
          % R %
          OR
          No. 2
          P W T
          % # V
          % # %
          % R %




          Now, with condition (IV), possibility No. 2 can be eliminated (Big thanks to @Alconja for telling me)




          As S is supposed to be the right of V which is not possible in No. 2. Hence, we continue with No.1
          P W T
          V # Q
          S # %
          % R %




          Then, with condition (I) and (II), we see that there are 2 possibilities again :




          No.1
          P W T
          V # Q
          S # X
          U R Y
          OR
          No. 2
          P W T
          V # Q
          S # U
          X R Y




          Since, Y is not adjacent to X,




          No. 2 is the only possibility




          So, the final answer is




          P W T
          V # Q
          S # U
          X R Y







          share|improve this answer






















          • Your interpretation of "to the right" is inverted (usually it would be to the person's right, as they faced the centre of the table), which means * ends up opposite T, breaking rule (ii).
            – Alconja
            35 mins ago










          • hmm... lemme check @Alconja
            – Kevin L
            27 mins ago











          • @Alconja Thanks for telling me. Just edited the answer :D
            – Kevin L
            22 mins ago














          up vote
          0
          down vote













          Since I am unable to upload images (don't know why), assume the circle is rectangle



          So, from condition (III), we get (Let % = Other People and # = Blank Space)




          P W T
          % # %
          % # %
          % % %
          As P and T are adjacent to W




          Then, from condition (V),




          P W T
          % # %
          % # %
          % R %
          As there are supposed to be 4 persons between R and W




          After that, from condition (VI), we see that there are 2 possibilities :




          No. 1
          P W T
          V # %
          % # %
          % R %
          OR
          No. 2
          P W T
          % # V
          % # %
          % R %




          Now, with condition (IV), possibility No. 2 can be eliminated (Big thanks to @Alconja for telling me)




          As S is supposed to be the right of V which is not possible in No. 2. Hence, we continue with No.1
          P W T
          V # Q
          S # %
          % R %




          Then, with condition (I) and (II), we see that there are 2 possibilities again :




          No.1
          P W T
          V # Q
          S # X
          U R Y
          OR
          No. 2
          P W T
          V # Q
          S # U
          X R Y




          Since, Y is not adjacent to X,




          No. 2 is the only possibility




          So, the final answer is




          P W T
          V # Q
          S # U
          X R Y







          share|improve this answer






















          • Your interpretation of "to the right" is inverted (usually it would be to the person's right, as they faced the centre of the table), which means * ends up opposite T, breaking rule (ii).
            – Alconja
            35 mins ago










          • hmm... lemme check @Alconja
            – Kevin L
            27 mins ago











          • @Alconja Thanks for telling me. Just edited the answer :D
            – Kevin L
            22 mins ago












          up vote
          0
          down vote










          up vote
          0
          down vote









          Since I am unable to upload images (don't know why), assume the circle is rectangle



          So, from condition (III), we get (Let % = Other People and # = Blank Space)




          P W T
          % # %
          % # %
          % % %
          As P and T are adjacent to W




          Then, from condition (V),




          P W T
          % # %
          % # %
          % R %
          As there are supposed to be 4 persons between R and W




          After that, from condition (VI), we see that there are 2 possibilities :




          No. 1
          P W T
          V # %
          % # %
          % R %
          OR
          No. 2
          P W T
          % # V
          % # %
          % R %




          Now, with condition (IV), possibility No. 2 can be eliminated (Big thanks to @Alconja for telling me)




          As S is supposed to be the right of V which is not possible in No. 2. Hence, we continue with No.1
          P W T
          V # Q
          S # %
          % R %




          Then, with condition (I) and (II), we see that there are 2 possibilities again :




          No.1
          P W T
          V # Q
          S # X
          U R Y
          OR
          No. 2
          P W T
          V # Q
          S # U
          X R Y




          Since, Y is not adjacent to X,




          No. 2 is the only possibility




          So, the final answer is




          P W T
          V # Q
          S # U
          X R Y







          share|improve this answer














          Since I am unable to upload images (don't know why), assume the circle is rectangle



          So, from condition (III), we get (Let % = Other People and # = Blank Space)




          P W T
          % # %
          % # %
          % % %
          As P and T are adjacent to W




          Then, from condition (V),




          P W T
          % # %
          % # %
          % R %
          As there are supposed to be 4 persons between R and W




          After that, from condition (VI), we see that there are 2 possibilities :




          No. 1
          P W T
          V # %
          % # %
          % R %
          OR
          No. 2
          P W T
          % # V
          % # %
          % R %




          Now, with condition (IV), possibility No. 2 can be eliminated (Big thanks to @Alconja for telling me)




          As S is supposed to be the right of V which is not possible in No. 2. Hence, we continue with No.1
          P W T
          V # Q
          S # %
          % R %




          Then, with condition (I) and (II), we see that there are 2 possibilities again :




          No.1
          P W T
          V # Q
          S # X
          U R Y
          OR
          No. 2
          P W T
          V # Q
          S # U
          X R Y




          Since, Y is not adjacent to X,




          No. 2 is the only possibility




          So, the final answer is




          P W T
          V # Q
          S # U
          X R Y








          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 23 mins ago

























          answered 44 mins ago









          Kevin L

          2,043434




          2,043434











          • Your interpretation of "to the right" is inverted (usually it would be to the person's right, as they faced the centre of the table), which means * ends up opposite T, breaking rule (ii).
            – Alconja
            35 mins ago










          • hmm... lemme check @Alconja
            – Kevin L
            27 mins ago











          • @Alconja Thanks for telling me. Just edited the answer :D
            – Kevin L
            22 mins ago
















          • Your interpretation of "to the right" is inverted (usually it would be to the person's right, as they faced the centre of the table), which means * ends up opposite T, breaking rule (ii).
            – Alconja
            35 mins ago










          • hmm... lemme check @Alconja
            – Kevin L
            27 mins ago











          • @Alconja Thanks for telling me. Just edited the answer :D
            – Kevin L
            22 mins ago















          Your interpretation of "to the right" is inverted (usually it would be to the person's right, as they faced the centre of the table), which means * ends up opposite T, breaking rule (ii).
          – Alconja
          35 mins ago




          Your interpretation of "to the right" is inverted (usually it would be to the person's right, as they faced the centre of the table), which means * ends up opposite T, breaking rule (ii).
          – Alconja
          35 mins ago












          hmm... lemme check @Alconja
          – Kevin L
          27 mins ago





          hmm... lemme check @Alconja
          – Kevin L
          27 mins ago













          @Alconja Thanks for telling me. Just edited the answer :D
          – Kevin L
          22 mins ago




          @Alconja Thanks for telling me. Just edited the answer :D
          – Kevin L
          22 mins ago

















           

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