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    Mcqs

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    This document contains a 50 question multiple choice quiz about number systems and complex numbers. The questions cover topics like: the history of rational numbers, representing real numbers, properties of operations on rational and real numbers, polar and Cartesian forms of complex numbers, and operations like conjugates, modulus, and inverses on complex numbers. The key is provided that gives the correct answer for each question.

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    Mcqs

    Uploaded by

    ƛsadƛlȝ
    390 views7 pages
    This document contains a 50 question multiple choice quiz about number systems and complex numbers. The questions cover topics like: the history of rational numbers, representing real numbers, properties of operations on rational and real numbers, polar and Cartesian forms of complex numbers, and operations like conjugates, modulus, and inverses on complex numbers. The key is provided that gives the correct answer for each question.

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    This document contains a 50 question multiple choice quiz about number systems and complex numbers. The questions cover topics like: the history of rational numbers, representing real numbers, properties of operations on rational and real numbers, polar and Cartesian forms of complex numbers, and operations like conjugates, modulus, and inverses on complex numbers. The key is provided that gives the correct answer for each question.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    390 views7 pages

    Mcqs

    Uploaded by

    ƛsadƛlȝ
    This document contains a 50 question multiple choice quiz about number systems and complex numbers. The questions cover topics like: the history of rational numbers, representing real numbers, properties of operations on rational and real numbers, polar and Cartesian forms of complex numbers, and operations like conjugates, modulus, and inverses on complex numbers. The key is provided that gives the correct answer for each question.

    Copyright:

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    of 7

    Chapter no 2

    NUMBER SYSTEM







    Composed By Zulfiqar Ali Chandio & Collected By Kanwal Jeet Page ( 28 )
    Assignment Level 2

    1. Rational numbers were introduced by ____________ in 1550 B.C
    (a). Egyptian (b). Arabs
    (c). Indians (d).Americans

    2. Every Real Number can be represented in ___________
    (a). Whole numbers (b). Rational Numbers
    (c). Decimal form (d). N.O.T

    3. Either or or is known as ________ property.
    (a). Transitive (b). Trichotomy
    (c). Equality (d). N.O.T

    4. Which one of following is correct?
    (a). is closed w.r.t subtraction
    (b). Is closed w.r.t to division
    (c). Is not commutative w.r.t division
    (d). is commutative w.r.t division

    5. Real and imaginary part of

    are _________ respectively


    (a).

    (b).


    (c).

    (d).



    6.

    ______
    (a). (b).
    (c). (d).

    7. Conjugate of

    is
    (a).

    (b).


    (c).

    (d).




    Chapter no 2
    NUMBER SYSTEM







    Composed By Zulfiqar Ali Chandio & Collected By Kanwal Jeet Page ( 29 )
    8.

    Is known as
    (a). Golden Rule (b). Product Rule
    (c). Equality Rule (d). Both (a) & (b)

    9. Conjugate of is ________
    (a). (b).
    (c). (d).

    10. The property used in the equation is
    (a). Commutative property of multiplication
    (b). Distributive property of multiplication over addition
    (c). Associative Property
    (d).Commutative property of addition

    11. The polar form of a complex number is here is called _______
    (a). Modulus (b). Argument
    (c). Both (a) & (b) (d). N.O.T

    12. The figure represents one or more complex numbers on complex plane is called a/an _______
    (a). Argand diagram (b). Complex plane
    (c). Both (a) & (b) (d). N.O.T

    13. In polar form,
    (a).

    (b).


    (c).

    (d).



    14. The Polar form is
    (a). (b).
    (c). (d).

    15. If

    then


    (a). (

    ) (b). (

    )
    (c).(

    ) (d). Both (a) & (c)



    Chapter no 2
    NUMBER SYSTEM







    Composed By Zulfiqar Ali Chandio & Collected By Kanwal Jeet Page ( 30 )
    16.
    (a). (b).
    (c).

    (d).


    (e). Both A & D (f). Both (b) & (c)


    17. Represents
    (a). Reflexive property (b). Symmetric Property
    (c). Transitive Property (d). Trichotomy Property

    18. Factors of

    are
    (a). (b).
    (c). (d). Both (a) & (c)

    19. Multiplicative Inverse of is
    (a). (

    ) (b). (

    )
    (c). (

    ) (d). (

    )

    20. The modulus of the product of two complex numbers is greater than the product of their
    moduli.
    (a). False (b). True
    21. Modulus of

    is _________
    (a).

    (b).


    (c).

    (d).



    22.


    (a). (b).
    (c). (d).



    Chapter no 2
    NUMBER SYSTEM







    Composed By Zulfiqar Ali Chandio & Collected By Kanwal Jeet Page ( 31 )
    23. is Multiplicative inverse of __________
    (a).

    (b).


    (c).

    (d). N.O.T
    24. { } Closed under
    (a). Multiplication (b). Addition
    (c). Both (a) & (b) (d). N.O.T

    25.


    (a). (b).


    (c).

    (d).


    (e).

    (f). N.O.T

    26. is known as _________ property
    (a). Trichotomy (b). Density
    (c). Archimedian (d). N.O.T

    27. Which one of following is correct?
    (a). (b). 5
    (c). (d). Both (a) & (c)
    (e). A.O.T

    28. Sum of two complex conjugate numbers is equal to ________
    (a). Sum of their real numbers
    (b). Product of their imaginary numbers
    (c). Sum of their imaginary numbers
    (d). Product of their real numbers

    29. { } is closed w.r.t
    (a). Addition (b). Multiplication
    (c). Both (a) & (b) (d). N.O.T

    30. (


    (a). (b).
    (c). (d).

    31. Multiplicative identity for complex number is __________
    (a). (b).
    (c). (d).

    Chapter no 2
    NUMBER SYSTEM







    Composed By Zulfiqar Ali Chandio & Collected By Kanwal Jeet Page ( 32 )

    32. Rationalization of

    is _________
    (a).

    (b).


    (c).

    (d).



    33. If the product of two complex numbers is then numbers are
    (a). Multiplicative inverse of each other
    (b). Additive Inverse of
    (c). Both (a) & (b)
    (d).N.O.T

    34. Geometrically the modulus of a complex number represents its distance from point _________
    (a). (b).
    (c). (d).

    35. |

    |
    (a). (b).
    (c). (d).

    36.
    (a).

    (b).
    (c). (d).Both (a) &(b)

    37. If then
    (a). 13 (b). 5
    (c). 25 (d). 7

    38.
    (a). (b).
    (c). (d).

    39. Roots of the equation

    are
    (a). (b).
    (c). Both (a) & (b) (d). N.O.T

    Chapter no 2
    NUMBER SYSTEM







    Composed By Zulfiqar Ali Chandio & Collected By Kanwal Jeet Page ( 33 )
    40. , |

    |
    (a). (b).
    (c). (d).

    41.

    lies in ___________
    (a). 1
    st
    Quadrant (b).on x-axis
    (c). on y-axis (d). 3
    rd
    Quadrant

    42. || _______ 0
    (a). Greater (b). Equal
    (c). Both (a) & (b) (d). A.O.T

    43. If || then
    (a). (b).
    (c). (d).

    44.


    (a). (b).
    (c). (d).

    45. The smallest positive integer for which

    is
    (a). 2 (b). 4
    (c). 8 (d). 6

    46. Multiplicative Inverse of is
    (a).

    (b).


    (c).

    (d). N.O.T


    47. ||
    (a). |

    | (b). ||
    (c). Both (a) & (b) (d). N.O.T





    Chapter no 2
    NUMBER SYSTEM







    Composed By Zulfiqar Ali Chandio & Collected By Kanwal Jeet Page ( 34 )

    Key of Assignment Level 2
    1. A 26. B
    2. C 27. E
    3. B 28. A
    4. C 29. B
    5. D 30. C
    6. B 31. C
    7. C 32. C
    8. A 33. A
    9. C 34. C
    10. D 35. D
    11. B 36. D
    12. A 37. C
    13. A 38. B
    14. C 39. D
    15. A 40. B
    16. E 41. C
    17. A 42. D
    18. D 43. B
    19. C 44. C
    20. A 45. A
    21. A 46. B
    22. B 47. C
    23. B 48. ****
    24. D 49. ****
    25. E 50. *****

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