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A class of 40 in Agra has 25 students who like chess and 18 who like carrom. The bars push both groups to the same end. At most how many students can like both games?

Competition practiceVenn Diagrams
  • A3
  • B25
  • C18
  • D7

Step-by-Step Solution

The overlap is largest when every carrom fan also likes chess, so at most 18 like both — the smaller group. 3 is the least possible overlap , 25 is the chess group, and 7 is .
Answer: C) 18

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