Math Quiz: Geometry MCQ!

10 Questions | Total Attempts: 62

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Math Quiz: Geometry MCQ!

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Questions and Answers
  • 1. 
    Let F and F' be fields such that |F| = 9, |F'| = 4. the total number of field homomorphism from F to F' is
    • A. 

      2

    • B. 

      1

    • C. 

      0

    • D. 

      3

  • 2. 
    Let V be a vector space of 2*2  matrices over R. Which of the following is a linear transformation.
    • A. 

      T([aij]) = a11

    • B. 

      T(A) = A + I

    • C. 

      T(A) = trace(A)

    • D. 

      I and III only

  • 3. 
    P is orthogonal if and only if PT is orthogonal.
    • A. 

      Yes

    • B. 

      No

  • 4. 
    A cantor set is nowhere dense.
    • A. 

      True

    • B. 

      False

  • 5. 
    Let T : U--> V be a linear transformation , if dim(U) > dim(V) then T is one-one.
    • A. 

      Yes

    • B. 

      No

  • 6. 
    C=2Πr (Circumference of a Circle)
    • A. 

      True

    • B. 

      False

  • 7. 
    Which of the following sets is uncountable?
    • A. 

      Q*Q

    • B. 

      Z*Z

    • C. 

      [0,1] - {1/n : n belong to natural numbers}

    • D. 

      {1/n : n are natural numbers}

  • 8. 
    The total number of subfields of a field with 729 elements is:
    • A. 

      One

    • B. 

      Two

    • C. 

      Three

    • D. 

      Four

  • 9. 
    A finite-dimensional normed space is separable.
    • A. 

      True

    • B. 

      False

  • 10. 
    Which of the following is correct for set  A = {(x,y) : y= 4x } U {(x,y) : x2 + y2 =1}
    • A. 

      A is compact set

    • B. 

      A is connected set

    • C. 

      A is not perfect set

    • D. 

      A is neither open nor closed

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