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27 votes
27 votes

Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every woman has a left-handed person to her immediate right. None of the women are right-handed. The number of women at the table is

  1. $2$
  2. $3$
  3. $4$
  4. Cannot be determined
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Best answer
17 votes
17 votes
  • $3$ Right handed person.
  • Every woman is left handed.
  • Immediate right to woman is left handed person.
     
  • As already given every woman is left handed. So, given $3$ Right handed Person actually man.
     

So at this moment we have $\large^{\nearrow ^{\huge\text{ 3 Right handed man}}}_{\searrow_{\huge\text{ 2 Left handed man}}}$

We need $1$ more person to make total $6$ person and
that person may be either

$\rightarrow \text{Woman with left handed.}\\ \text{(or)} \\ \rightarrow \text{Man with either left handed or right handed.}$
 

$\text{Case-1:}$

Let us suppose that a person is a woman.

So,  $3$ Right handed Men

       $3$ Left Handed Women

 

Now we have no more left-handed person to put here. So,
this case is not possible.

$\text{Case-2:}$

        $3$ Right handed Men.

        $2$ Left handed Women.

        $1$ Left-handed Man.

 

$\text{Case-3:}$    

        $3$ right-handed person (men)

        $2$ left-handed women

        $1$ right-handed man 

This case is also not possible, as W__ W__ - for this place we don't have any left-handed person. So this arrangement is not valid.   

 

Correct Answer: $A$

edited by
20 votes
20 votes
Given -

There are atleast Two Men and Two Women.

There are atleast 3 Right Handed People and No women are Right Handed means there are 3 Right Handed Men.

So this rules out option C) as there can be atmost 3 women.

Now, every woman has a left handed person to her right and there are atleast 2 women. Now if we have 3 women ,there will be atleast 1 woman who will have a right handed person sitting next to her ( as there are 3 right handed men given above)

So we can have 2 woman , 1 left handed man and 3 right handed men on the table.
11 votes
11 votes
here we have to check with options

if we take 2 and try to assign all the conditions given it is successfull

but for 3 and 4 we can not impose all conditions given

so 2 is the answer

A is correct answer here
6 votes
6 votes

Answer is 2.

Explanation:

Given there are total six people. 

m - man,  w - women

Arrangement: m m m w w m  (it satisfy all condition, first three-men are right handed and the last one are left-handed  and both women are left handed as mention in question)

Answer:

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