33 people {a1, a2,...........,a33} meet and shake hands in a circular fashion. In other words, there are totally 33 handshakes involving the pairs, {a1,a2}, {a2,a3},..........,{a32, a33}, {a33, a1}. Then the size of the smallest set of people such that the rest have shaken hands with at least one person in the set is
a.11 b.13 c.24 d.50

• simple trick in handshake is , handshake in circular fashion means,member(n) is odd means n/3,even means n/2.
  so ans is 11
• 13 years agoHelpfull: Yes(17) No(5)
• 11
  
  the persons selected in set will be
  a1,a4,a7,a10,....... a25,a28,a31.
• 13 years agoHelpfull: Yes(16) No(5)
• divide the people in to 3 groups each.........for suppose (1,2,3) (1,2,3)............... the second person shook hand with remaining ones...
  therfore one from each group shook his hands with others .so...33/3=11 will be the answer......
• 13 years agoHelpfull: Yes(10) No(1)
• The smallest set will be 16.
  choosing one of the people in 32 pairs{a1,a2},{a2,a3}......,{a32,a33}
• 13 years agoHelpfull: Yes(3) No(9)