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Arithmetic Aptitude :: Sets, Relations and Functions

  1.  A set consisting of a definite number of elements is called a

  2. A.

    Finite set

    B.

    Null set

    C.

    Infinite set

    D.

    Singleton set

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  3.  If A, B, C be three sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C, then.

  4. A.

    A = B

    B.

    A = C

    C.

    B = C

    D.

    A = B = C

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  5.  If A = {1, 2, 5} and B = {3, 4, 5, 9}, then A ? B is equal to If A = {x: x = 3n, n ? 6, n ? N} and B = {x: x = 9n, n ? 4, n ? N}, then which of the following is false?

  6. A.

    A ? B = {9, 81, 729, 6561}

    B.

    A U B = {3, 9, 27, 81,243, 729, 6561}

    C.

    A-B = {3, 27,243} (d) A ? D = {3, 27, 243, 6561}

    D.

    none of these

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  7.  If A = {x ? C: x2 = 1} and B = {x ? C: x4 = 1}, then A ? B is equal to

  8. A.

    {-i, i}

    B.

    {-1, 1}

    C.

    {-1, 1, i, -i}

    D.

    none of these

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  9.  If A and B are two sets containing respectively m and n distinct elements. How many different relations can be defined for A and B?

  10. A.

    2m-n

    B.

    2m/n

    C.

    2mn

    D.

    2m+n

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  11.  { (a, b) : a² +b² = 1} on the set S has the following relation

  12. A.

    reflexive

    B.

    symmetric

    C.

    reflexive and transitive

    D.

    none

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  13.  If Y is the smallest set such that Y U {1, 2} = {1, 2, 3, 5, 9}, then Y is equal to

  14. A.

    {1,2}

    B.

    {3,5,9}

    C.

    {1,2,3,5,9}

    D.

    none of these

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  15.  If R is the relation “is greater than” from A ={1,2,3,4,5}to B={1,3,4} , Than R-1 is

  16. A.

    {(3,4),(4,5),(3,5)}

    B.

    {(1,2) ,(1,3),(1,4),(1,5)}

    C.

    {(1,2), (1,3), (1,4), (3,4), (1,5), (3,5), (4,5)}

    D.

    {(2,1), (3,1), (4,1),(4,3), (5,1), (5,3), (5,4)}

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  17.  If R is a relation on a finite set having a elements , then the number of relations on A is

  18. A.

    B.

    C.

    2a

    D.

    2a2

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  19.  If R is a relation on a finite set having a elements , then the number of relations on A is

  20. A.

    B.

    C.

    2a

    D.

    2a²

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