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Class 11

Sets: Mixed Practice — Quiz

Five mixed questions on sets. Pick one answer for each.

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

  1. How many proper subsets does {1,2,3,4,5}\{1, 2, 3, 4, 5\} have?
  2. What is {x∈Z:3x=10}\{x \in \mathbf{Z} : 3x = 10\}?
  3. U={1,2,…,10}U = \{1, 2, \ldots, 10\}, A={1,2,3,4,5,6}A = \{1, 2, 3, 4, 5, 6\}, B={5,6,7,8}B = \{5, 6, 7, 8\}. Find (A∪B)′(A \cup B)^\prime.
  4. n(U)=100n(U) = 100, n(A)=55n(A) = 55, n(B)=40n(B) = 40, n(A∩B)=20n(A \cap B) = 20. Find n(A′∩B′)n(A^\prime \cap B^\prime).
  5. Of 200200 students, 9090 study Maths, 7070 Physics, 6060 Chemistry; 3030 study Maths and Physics, 2020 Physics and Chemistry, 2525 Maths and Chemistry, and 1010 all three. How many study none?
Unanswered questions are marked wrong.

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