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Class 11

Operations on Sets and Venn Diagrams — Quiz

Five questions on set operations, De Morgan's laws and counting. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. A={1,2,4,8}A = \{1, 2, 4, 8\} and B={2,3,4,5}B = \{2, 3, 4, 5\}. Find A∩BA \cap B.
  2. A={1,3,5,7,9,11}A = \{1, 3, 5, 7, 9, 11\} and B={3,6,9,12}B = \{3, 6, 9, 12\}. Find A−BA - B.
  3. U={1,2,…,10}U = \{1, 2, \ldots, 10\} and A={2,3,5,7}A = \{2, 3, 5, 7\}. Find A′A^\prime.
  4. By De Morgan\'s law, (A∩B)′(A \cap B)^\prime equals
  5. In a group of 8080 students, 4545 like cricket, 3838 like football and 1010 like neither. How many like both?
Unanswered questions are marked wrong.

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