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In a class of 68 students, 34 students participated only in Debate and 8 students participated in both Quiz and Debate. If every student of the class has participated in at least one of these two competitions, how many students participated in Quiz?

In a class of 68 students, 34 students participated only in Debate and 8 students participated in both Quiz and Debate. If every student of the class has participated in at least one of these two competitions, how many students participated in Quiz? Correct Answer 34

Given Total number of students = 68

Number of students participated only in Debate = 34

Number of students participated in both Quiz and Debate = 8

If every student of the class has participated in at least one of these two competitions

Number of students participated only in Quiz = Total number of students - (Number of students participated only in Debate + Number of students participated in both Debate and Quiz)

  • Number of students participated only in Quiz = 68 - (34 + 8)
  • Number of students participated only in Quiz = 68 - 42 = 26

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Number of students participated in quiz = Number of students participated only in Quiz + Number of students participated in both Quiz and Debate

∴ Number of students participated in quiz = 26 + 8 = 34

Hence, the correct answer is "34".

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