GATE | GATE-CS-2017 (Set 1) | Question 6

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) Can not be determined


Answer: (A)

Explanation: Let’s draw what these statements say:

  • There are atleast Two Men and Two Women.
  • There are atleast 3 Right Handed People
  • No women are Right Handed – infers there are three right handed men
  • Every woman has a left-handed person to her immediate right – Means women circled in red needs to have a left handed person on her right and that too a man as on right side of ?? there is a right handed man.
  • So,  ?? – will be a left handed man
    GATE2017_set 1

 

Therefore, option A (only 2 women) is correct

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