GATE CSE 2017 Set 1 | Question: GA-7

Question

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

Comments

2 CASES

3 right handed men+3 left handed women so there is always 1 right handed men right beside a women so it can't be the case

4  men(1 left,3 right handed)+2 women this will satisfy

5 men and 6 men cant be taken as 2 women must be there

Answer 1

There are at least two men and two women.
At least three right-handed persons.
None of the women is right-handed.
⇒ All right-handed persons are men. Every woman has a left-handed person to her immediate right.
⇒ For this to happen, there must be three left-handed-persons and one of them should be a male.
As three persons are right-handed and those being men.
The number of women at the table = 2