In a formal function three business tycoons Mr. Tata, Mr. Birla and Mr. Ambani meet other Business personalities. In total there were 90 people in the gathering. Each of the remaining 87 persons have met the at least one of the three business tycoons. Out of the 90 people the number of people whom Mr Tata, Mr Birla and Mr Ambani have met is 32, 46 and 25 respectively. If Mr Tata, Mr Birla and Mr Ambani have not met with each other, then find the maximum possible number of people who have met all the three?

• out of 90 members v consider only 87 persons as 3 tycoons never met with each other .
  total = 32+46+25= 103
  103-87=16 these 16 have met more than 1 tycoons
  maximum possible number of people eho met all the 3 = 16/3 = 5 persons
• 12 years agoHelpfull: Yes(14) No(5)
• No of people who met only1 + 2(people who met exactly 2)+ 3(met all 3)=103
  But No of people who met only1 +(people who met exactly 2)+ (met all 3)=87
  so (people who met exactly 2)+ 2(met all 3)=16
  TO maximise people who met all 3
  (people who met exactly 2) must be zero (0)
  So (met all 3)=8.
• 12 years agoHelpfull: Yes(1) No(7)
• 25,
  bcoz 25 is the min. no. of people met and at max 25 can be common who met all three .
• 12 years agoHelpfull: Yes(1) No(4)
• 32+25+46=103
  103-87=16
  16 is max. possible answer
• 12 years agoHelpfull: Yes(1) No(0)