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In a class of 45 in Shimla, 31 students like skiing and 26 like trekking. With the groups pushed to opposite ends, what is the least possible number who like both?

Competition practiceVenn Diagrams
  • A12
  • B26
  • C14
  • D57

Step-by-Step Solution

The two groups need places but there are only 45 students, so at least like both. 26 is the largest possible overlap, 14 is , and 57 is the plain sum.
Answer: A) 12

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