Sets, Relations and Functions

Practice Questions
1.  Which of the following is set
    (a)    Collection of beautiful girls of Delhi
    (b)    Numbers divisible by 3 between 1 and 20
    (c)    Collection of handsome boys in a class
    (d)    Collection of most precious gems of India

2. Set A = {4, 10, 12, 16, 20}, set builder form is
    (a)    {x : x is even number less than 2}
    (b)    {x : x is natural number multiple of 4 and less than 2}
    (c)    {x : x is odd natural number greater than 3}
    (d)    {x : x is odd natural number less than 3}

3. A set which contains number of elements which can not be counted is
    (a)    Empty set    (b)    finite set    (c)    Singlton set    (d)    Infinite set

4. If A and B are such that n (A) = n (B) then
    (a)    A and B are equal sets
    (b)    A and B are conjugate of each other   
    (c)    A and B are singleton sets
    (d)    A and B are equivalent sets

5. If A = {1, 2, 3, 4} , B = {4, 5, 6, 7} then
    (a)    A = B    (b) A and B are equivalent  (c) A and B are singleton  (d)  A and B are null sets

6.    The set of odd prime numbers is
    (a)    Null set    (b)    singleton set    (c)    Infinite set    (d)    Finite set