Sets and Functions


  1. Which of the following sets is finite?











  1. View Hint View Answer Discuss in Forum

    NA

    Correct Option: A

    NA


  1. Which of the following sets is finite?









  1. View Hint View Answer Discuss in Forum

    Since infinite number of lines pass through a point, C is an infinite set.

    Correct Option: A

    (a) A = { x : x ε Z and x2 – 2x – 3 = 0} = {3, -1}.
    ∴ A is a finite set.
    (b) B = The set of natural numbers divisible by 2 = { 2, 4, 6, 8, 10,…}.
    ∴ B is an infinite set.
    (c) Since infinite number of lines pass through a point, C is an infinite set.
    (d) D = { -4, -3, -2,…}. Clearly D is an infinite set.



  1. Which of the following sets is non-empty?









  1. View Hint View Answer Discuss in Forum

    Odd natural numbers are 1,3,5,7,............. so on.......
    A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number. The set of natural numbers, denoted N, can be defined in either of two ways: N = {0, 1, 2, 3, ...}

    Correct Option: C

    A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number. The set of natural numbers, denoted N, can be defined in either of two ways: N = {0, 1, 2, 3, ...}
    As per given option.
    (a) As no odd natural number is divisible by 2, the set A is empty.
    (b) Since no natural number satisfies the equation x + 5 = 0,
    ∴ B = Φ
    (c) Since 2 is an even prime number, i.e., C = {2}, C is not an empty set.
    (d) Since there is no natural number between 1 and 2, D is an empty set.


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









  1. View Hint View Answer Discuss in Forum

    NA

    Correct Option: B

    NA



  1. Which of the following statements is true?









  1. View Hint View Answer Discuss in Forum

    NA

    Correct Option: A

    NA