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Class 11

Sets — Course Quiz

Ten questions across the whole Sets course. Pick one answer for each.

10 questions, one mark each. 6 to pass. Suggested time: 20 minutes. Your answers are not recorded.

  1. Write {x:x∈N,x2<20}\{x : x \in \mathbf{N}, x^2 < 20\} in roster form.
  2. A set has 44 elements. How many elements does its power set have?
  3. Which of these sets is empty?
  4. Write the interval [2,9)[2, 9) in set-builder form.
  5. A={2,4,6,8}A = \{2, 4, 6, 8\} and B={1,2,3,4}B = \{1, 2, 3, 4\}. Find A∪BA \cup B.
  6. U={1,2,…,9}U = \{1, 2, \ldots, 9\} and A={1,3,5,7,9}A = \{1, 3, 5, 7, 9\}. Find A′A^\prime.
  7. Which set equals A∩(B∪C)A \cap (B \cup C) for all sets?
  8. If A⊂BA \subset B, what is A∪BA \cup B?
  9. In a group of 120120 people, 7070 drink tea and 6565 drink coffee; everyone drinks at least one. How many drink both?
  10. Of 300300 people, 140140 read paper PP, 120120 read QQ, 100100 read RR; 4040 read PP and QQ, 3030 read QQ and RR, 3535 read PP and RR, and 1515 read all three. How many read none?
Unanswered questions are marked wrong.

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