Maths Test-1 Number System

25 Questions | Total Attempts: 43

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Maths Test-1 Number System

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Questions and Answers
  • 1. 
    If a set have n elements then number of its proper subsets is:
    • A. 

      2^n

    • B. 

      (2^n)-1

    • C. 

      1

    • D. 

      NONE

  • 2. 
    Set of irrational number is the sub set of
    • A. 

      Natural number

    • B. 

      Whole numbers

    • C. 

      Real numbers

    • D. 

      All of these

  • 3. 
    A set of natural number is the sub  set of whole number then N∩W is:
    • A. 

      N

    • B. 

      W

    • C. 

      IRRATIONAL

    • D. 

      R

  • 4. 
    Set {x/x E A or x E B or x E both A and B} shows:
    • A. 

      Intersection of A and B

    • B. 

      A only

    • C. 

      Union of A and B

    • D. 

      B only

  • 5. 
    If set A = {0} and W is set of whole number than W-A is:
    • A. 

      Z

    • B. 

      N

    • C. 

      1

    • D. 

      {0}

  • 6. 
    If a set contain 6 elements then its power set contains -------------- elements.
    • A. 

      32

    • B. 

      64

    • C. 

      12

    • D. 

      46

  • 7. 
    As N is a sub set of W then N’ ∩N is equal to:
    • A. 

      { }

    • B. 

      {0 }

    • C. 

      W

    • D. 

      NONE

  • 8. 
          As N is a sub set of W then N’U N is equal to:
    • A. 

      W

    • B. 

      {}

    • C. 

      N

    • D. 

      NONE

  • 9. 
          According to this diagram which statement is true: 
    • A. 

      A and B are overlapping sets

    • B. 

      C is not a subset of B

    • C. 

      A and C are disjoints sets

    • D. 

      All of these

  • 10. 
    Venn diagram shows 
    • A. 

      Sets

    • B. 

      Operation on sets

    • C. 

      Both

    • D. 

      None of these

  • 11. 
    If a decimal is non recurring but terminating then it shows? 
    • A. 

      Natural number

    • B. 

      Rational number

    • C. 

      Irrational number

    • D. 

      None of these

  • 12. 
          And if it is recurring and non terminating then it shows? 
    • A. 

      Irrational number

    • B. 

      Rational number

    • C. 

      Real number

    • D. 

      B & c

  • 13. 
          Set of rational numbers is only proper sub set of? 
    • A. 

      Set of real number

    • B. 

      Set of integers

    • C. 

      Set of rational number

    • D. 

      None of these

  • 14. 
    π is: 
    • A. 

      Rational number

    • B. 

      Whole number

    • C. 

      Irrational number

    • D. 

      Integer

  • 15. 
          {a=b and b = c  <=>  a = c} is a? 
    • A. 

      Symmetric property

    • B. 

      Reflexive property

    • C. 

      Transitive Property

    • D. 

      None of these

  • 16. 
    Set of integers satisfy closure property under: 
    • A. 

      Addition

    • B. 

      Multiplication

    • C. 

      Both a & b

    • D. 

      None

  • 17. 
          Which of the following set doesn’t satisfy the closure property under addition: 
    • A. 

      E

    • B. 

      Z

    • C. 

      O

    • D. 

      W

  • 18. 
    Set of {R} is closed under
    • A. 

      ADDITION

    • B. 

      MULTIPLICATION

    • C. 

      BOTH A AND B

    • D. 

      NONE

  • 19. 
    Which of the following statement is true: 
    • A. 

      W⊂N⊂ Z⊂R

    • B. 

      R⊂Z⊂ W⊂N

    • C. 

      N⊂W⊂ Z⊂R

    • D. 

      All of these

  • 20. 
    The number of the form √(n) where n is positive and perfect square always belongs to: 
    • A. 

      Q

    • B. 

      W

    • C. 

      Z

    • D. 

      R

  • 21. 
    |z+z bar| is equal to ------------------ where z = a + ib 
    • A. 

      2a

    • B. 

      4a^2

    • C. 

      2b

    • D. 

      4b^2

  • 22. 
    If z = x + y i and l3zl = lz-4l then x^2 + y^2 + x = _______ 
    • A. 

      1

    • B. 

      -1

    • C. 

      2

    • D. 

      -2

  • 23. 
    If z, iz and z+iz are the vertices of a triangle whose area is 2 units then the value of z is_____ 
    • A. 

      4

    • B. 

      2

    • C. 

      -2

    • D. 

      None

  • 24. 
    If z= cosθ+i sin θ then arg (z^2+z) =_______ 
    • A. 

      3θ/2

    • B. 

      θ

    • C. 

      θ/2

    • D. 

  • 25. 
    Convert z=radical3+1i in polar form
    • A. 

      (2,30^o)

    • B. 

      (radical 2,60^o)

    • C. 

      (radical3,30^o)

    • D. 

      None

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