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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
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    Cannot be determined
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Six people are seated around a circular table. There are at least two ...
Out of six people, 3 place definitely occupied by right handed people as atleast 2 women are there so these two will sit adjacently. Now as only one seat is left it will be occupied by a left handed man because on right side of this seat is sitting an right handed man.
Therefore, answer should be 2 women.
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Most Upvoted Answer
Six people are seated around a circular table. There are at least two ...
Given information:
- 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.

To solve this problem, let's analyze the given information step by step.

Step 1: At least two men and two women
Since there are at least two men and two women, let's consider the possibilities:

- Case 1: 2 men and 4 women
In this case, there are 3 right-handed people (2 men and 1 woman who is left-handed) and every woman has a left-handed person to her immediate right. However, this violates the condition that there are at least three right-handed persons. Therefore, Case 1 is not possible.

- Case 2: 3 men and 3 women
In this case, there are 3 right-handed people (3 men) and every woman has a left-handed person to her immediate right. However, this violates the condition that there are at least three right-handed persons. Therefore, Case 2 is not possible.

- Case 3: 4 men and 2 women
In this case, there are 4 right-handed people (4 men) and every woman has a left-handed person to her immediate right. This satisfies all the given conditions. Therefore, Case 3 is possible.

Step 2: Number of women at the table
Based on the analysis above, we have found that there are 2 women at the table (Case 3). Hence, the correct answer is option A.

Therefore, the number of women at the table is 2 (option A).
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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 isa)2b)3c)4d)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?
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