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Of 100 students in a Pune hostel, 80 have a phone, 70 have a laptop and 60 have a bicycle, as the note says. At least how many students must have all three?

Competition practiceVenn Diagrams
  • A0
  • B50
  • C60
  • D10

Step-by-Step Solution

Students missing at least one item number at most (20 without a phone, 30 without a laptop, 40 without a bicycle). So at least have all three. 0 assumes nobody has to own all three, 50 is the least number owning both a phone and a laptop , and 60 is the largest possible number.
Answer: D) 10

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