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In an AC coach of 80 passengers on a train to Mumbai, 56 passengers ordered tea and 45 ordered pastries. The bars show the two groups pushed to opposite ends. What is the LEAST possible number of passengers who ordered both?

Competition practiceVenn Diagrams
  • A45
  • B21
  • C11
  • D24

Step-by-Step Solution

Pushing the two groups as far apart as possible, they still overlap by . So at least ordered both is the greatest possible overlap; is not the overlap.)
Answer: B) 21

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