Chapter No 1 :Elements of Set Theory (20 MCQ`S)

  1. Topology means ………..
    1. Analytical geometery
    2. Rubber sheet geometery
    3. Practical geometery
    4. Trignometery
    5. Show Answer
      Answer: B
      Explanation:
      • N/A
  2. Topology is associated with ………..
    1. Distance function
    2. Trignometric function
    3. Exponential function
    4. Logrithmic function
    5. Show Answer
      Answer: A
      Explanation:
      • N/A
  3. If `R` be the set of real numbers thenthe set `{xepsilonR:0lexle1}` is called ….

    1. Open unit Interval

    2. Semi open unit interval

    3. Closed unit interval

    4. Semi closed unit interval

    5. Show Answer
      Answer: C
      Explanation:
      • N/A
  4. If `R` be the set of real numbers thenthe set `{xepsilonR:0 < x <1}` is called ….

    1. Open unit Interval

    2. Semi open unit interval

    3. Closed unit interval

    4. Semi closed unit interval

    5. Show Answer
      Answer: A
      Explanation:
      • N/A
  5. If `f(x)=x^2` then `f(x)` is …………. function
    1. Injective
    2. Surjective
    3. Bijective
    4. None of these
    5. Show Answer
      Answer: D
      Explanation:
      • N/A
  6. If `f(x)=x^3` then `f(x)` is …………. function
    1. Injective
    2. Surjective
    3. Bijective
    4. None of these
    5. Show Answer
      Answer: C
      Explanation:
      • N/A
  7. If `f` is bijective then `f^(-1)` is …………
    1. Injective
    2. Surjective
    3. Bijective
    4. None of these
    5. Show Answer
      Answer: C
      Explanation:
      • N/A
  8. If `f` and `g` are two bijective functions then composition of function`fg` is …………
    1. Injective
    2. Surjective
    3. Bijective
    4. None of these
    5. Show Answer
      Answer: C
      Explanation:
      • N/A
  9. If `f(x)=x^2-x-3` and `A=[1,3]` then `f(A)=` …………….
    1. `[-4,0]`
    2. `[4,0]`
    3. `[0,-4]`
    4. `[0,-4]`
    5. Show Answer
      Answer: A
      Explanation:
      • N/A
  10. If `f(x)=x^2` and `A=[-1,1]` then `f(A)=` …………….
    1. `[-1,1]`
    2. `[-1,0]`
    3. `[1,2]`
    4. `[0,1]`
    5. Show Answer
      Answer: D
      Explanation:
      • N/A

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