Home / Arithmetic Aptitude / Sets, Relations and Functions :: Section-1

Arithmetic Aptitude :: Sets, Relations and Functions

  1.  If A Í B then which of the following are correct?

  2. A.

    A- B = ?

    B.

    A U B = B

    C.

    A ? B = B - A

    D.

    All of these

    View Answer

    Workspace

    Discuss Discuss in Forum


  3.  If A U B = AU C and A ? B = A ? C, then

  4. A.

    B = C

    B.

    B = C only when A Í C

    C.

    B = C only when A ? B

    D.

    none of these

    View Answer

    Workspace

    Discuss Discuss in Forum


  5.  If A = {(x, y) : x2 + y2 = 1; x, y ? R} and B = {(x, y): x2 + y2 = 4; x, y ?R} then

  6. A.

    A ? B = ?

    B.

    A ? B ? f

    C.

    A ? B = ?

    D.

    B ?A = B

    View Answer

    Workspace

    Discuss Discuss in Forum


  7.  Let X be the universal set for sets A and B. If n (A) = 200, n (B) = 300 and n (A?B) = 100, then n(A’? B’) is equal to 300 provided n(X) is equal to

  8. A.

    500

    B.

    600

    C.

    700

    D.

    800

    View Answer

    Workspace

    Discuss Discuss in Forum


  9.  Which of the following does not have a proper subset

  10. A.

    {x: x ? Q}

    B.

    {x: x ? Q, 3 < x < 4

    C.

    {x: x ? N, 3 < x < 4}

    D.

    none of these

    View Answer

    Workspace

    Discuss Discuss in Forum


  11.  If A = {4n -3n -1: n ? N} and B = {9(n-1): n ? N}, then we have

  12. A.

    B Í A

    B.

    A Ì B

    C.

    A? B = ?

    D.

    none of these

    View Answer

    Workspace

    Discuss Discuss in Forum


  13.  Let A = {x: x is a digit in the number 3591}, B = {x: x ? N, x<10}. Which of the following is false?

  14. A.

    A? B = {1,3,5,9}

    B.

    A-B = {2,4,6,7,8}

    C.

    A U B = {1,2,3,4,5,6,7,8,9}

    D.

    none of these

    View Answer

    Workspace

    Discuss Discuss in Forum


  15.  Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n are respectively

  16. A.

    4,1

    B.

    6, 3

    C.

    8, 5

    D.

    none of these

    View Answer

    Workspace

    Discuss Discuss in Forum


  17.  Which of the following are true:

  18. A.

    1 and 2

    B.

    {x: x >3, x ?0} ? ?

    C.

    {x: x2-1= 0, x ?N} ? {-1, 1}

    D.

    {x: x2 - 4x + 3 = 0} = {1, 3}

    View Answer

    Workspace

    Discuss Discuss in Forum


  19.  Which of the following sets are null sets:

  20. A.

    2 and 3

    B.

    {x: x < 5, x > 6}

    C.

    {x: |x |< -4, x ?N}

    D.

    Set of all prime numbers between 15 and 19

    View Answer

    Workspace

    Discuss Discuss in Forum