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Home Aptitude Sets and Functions Comments

  • Question
  • Which of the following statements is true?


  • Options
  • A. Every subset of a finite set is finite.
  • B. Every subset of an infinite set is infinite.
  • C. Every subset of an infinite set is finite.
  • D. A proper subset of a finite set is equivalent to the set itself.

  • Correct Answer
  • Every subset of a finite set is finite. 

    Explanation

    NA


  • Sets and Functions problems


    Search Results


    • 1. 
      Write down the power set of C = {1, {2}}.

    • Options
    • A. {?, {1}, {{2}}}
    • B. {?, {1}, {{2}}, {1, {2}}}
    • C. {{1}, {{2}}, {1, {2}}
    • D. None of these
    • Discuss
    • 2. 
      Which of the following sets is non-empty?

    • Options
    • A. A = set of odd natural numbers divisible by 2
    • B. B = {x : x + 5 = 0, x ? N}
    • C. C = set of even prime numbers
    • D. D = {x : 1 < x < 2, x ? N},
    • Discuss
    • 3. 
      Which of the following sets is finite?

    • Options
    • A. I = { x : x ? Z and x2 ? 2x ? 3 = 0 }
    • B. B = The set of natural numbers which are divisible by 2
    • C. C = The set of lines passing through a point.
    • D. D = { x : x ? Z and x > - 5 }
    • Discuss
    • 4. 
      Which of the following sets is finite?

    • Options
    • A. The set of the months of a year
    • B. {1, 2, 3,?}
    • C. {1, 2, 3,? 90, 100}
    • D. The set of lines which are parallel to x-axis
    • Discuss
    • 5. 
      Which of the following sets is empty?

    • Options
    • A. A = {x: x ? n and x ? 1}
    • B. B = {x: 3x + 1 = 0, x ? N}
    • C. C = {x: x is an integer and -1 < x < 1}
    • D. D = set of months of the year beginning with F.
    • Discuss
    • 6. 
      Let A = {x: x ? N ? x is a multiple of 2}
      B = {x: x ? N ? x is a multiple of 5}
      C = {x: x ? N ? x is a multiple of 10}
      Describe the set A ? (B ? C)

    • Options
    • A. A
    • B. B
    • C. C
    • D. None of these
    • Discuss
    • 7. 
      If U = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11}, A = {3, 5, 7, 9, 11} and B = {7, 8, 9, 10, 11}, Then compute (A ? B)?.


    • Options
    • A. {2, 3, 5, 7, 9, 11, 12}
    • B. {2, 4, 6, 8, 10, 11, 12}
    • C. {2, 4, 6, 8, 9, 10, 11}
    • D. None of these
    • Discuss
    • 8. 
      If S and T are two sets such that S has 21 elements, T has 32 elements, and S ? T has 11 elements, how many elements does S ? T have?

    • Options
    • A. 52
    • B. 32
    • C. 42
    • D. None of these
    • Discuss
    • 9. 
      Let A = {1, 2}, B = {2, 3}. Evaluate A × B.

    • Options
    • A. {(2, 1), (3, 1), (2, 3)}
    • B. {(1, 2), (1, 3), (2, 3)}
    • C. {(1, 2), (1, 3), (2, 2), (2, 3)}
    • D. None of these
    • Discuss
    • 10. 
      The Cartesian product A × A has 9 elements and two of them are (-1, 0) and (0, 1). Find the set A?


    • Options
    • A. A = {0, 1}
    • B. A = {-1, 0, 1}
    • C. A = {0, -1}
    • D. A = {1, -1,}
    • Discuss


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