Math, asked by Deepakreddy1610, 4 months ago

Zoravar, Yatish, Xandra, Waheeda, Varun, Umesh, Tarun and Satish are 8 friends who are sitting in a circular dining table and all of them are facing the centre. Tarun is the immediate neighbor of Umesh. Yatish and Umesh are not immediate neighbours. Varun is 2nd to the left of Zoravar and his immediate neighbours are Tarun and Xandra. Zoravar and Waheeda are not immediate neighbours. Yatish is not seated between Satish and Waheeda. Satish is not seated between Waheeda and Umesh.

What is the position of Yatish with respect to Waheeda?​

Answers

Answered by amitnrw
0

Given : Zoravar, Yatish, Xandra, Waheeda, Varun, Umesh, Tarun and Satish are 8 friends who are sitting in a circular dining table and all of them are facing the centre.  

To Find : position of Yatish with respect to Waheeda

Solution:

Tarun is the immediate neighbor of Umesh

two cases

Tarun Right of Umesh  or Tarun Left of Umesh

Lets take case 1:

Tarun Left of Umesh

Varun is 2nd to the left of Zoravar and his immediate neighbours are Tarun  and Xandra

Varun can be in Left of Tarun  only as in right of Tarun is Umesh already

Hence Varun in  2nd to the left of Umesh

But Varun is 2nd to the left of Zoravar  

Hence this case not possible

Lets take case 1:

Tarun Right of Umesh

Varun is 2nd to the left of Zoravar and his immediate neighbours are Tarun  and Xandra

Hence Varun is also Right of Tarun   as left of Tarun is already occupied

and Xandra if right of Varun

and Zoraver is right of Xandra

Now 3 Spaces left between Left of Umesh and Right of Zoraver

Yatish and Umesh are not immediate neighbours

Hence  Yatish can be 1 or 2 right of Zorvaer or  2 or 3 left of Umesh

Zoravar and Waheeda are not immediate neighbours.

Hence Waheeda can be 2 or 3 right of Zorvaer or  1 or 2 left of Umesh

Yatish is not seated between Satish and Waheeda

Hene Yatish can not be 2 right of Zoraver or 2 left of Umesh.

Hence  Yatish can be 1  right of Zorvaer

Satish is not seated between Waheeda and Umesh.

Hence Satish would be right of Yatish and and Waheeda will be right of Satish

              X

    Z                 V

Y                           T      

    S                 U

             W

Yatish is 2nd to the left  of  Waheeda

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Answered by xxPRACHIxx
8

Answer:

Let us assume that 5 -√3 is rational.

Let ,

5 - √3 = r , where "r" is rational

5 - r = √3

Here,

LHS is purely rational.

But on the other hand ,RHS is irrational.

This leads to a contradiction.

Hence,5-√3 is irrational

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