Following things are true about the flats (100 in total) in the Royal Society:
1. There are atleast 93 flats which have Wi-Fi connection.
2. There are atleast 62 flats which have landline telephone.
3. There are atleast 85 flats which have AC.
What is the minimum number of flats that have all the three facilities?

• ans-40
  because total connections=240
  now if we think all the the homes have at least two connections, then total connections=100*2=200
  so, minimum flats having3 connections=240-200=40
• 9 years agoHelpfull: Yes(8) No(3)
• Suppos there are 100 houses numbered from 1-100.
  1. According to first condition, 93 flats have Wi-Fi connection. So we suppose first 93 houses numbered from 1-93 have Wi-Fi connection.
  2. According to second condition, 62 flats have landline telephone. So we suppose 62 houses numbered from 39-100 have landline telephone.
  So we have 45 houses common which have 2 facilities common numbered from 39-93.
  2. According to third condition, 85 flats have AC. So we suppose 85 houses numbered from 1-38, 93-100 & left 40 AC could be assigned to any 40 houses out of 45 houses numbered from 39-93.
  
  That means 40 houses have all the three facilities.
• 7 years agoHelpfull: Yes(1) No(0)