New ! Business Maths and Statistics MCQ Practise Tests



Sample 5 Mark Creative Questions (New Syllabus 2020)

12th Standard

    Reg.No. :
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Business Maths

Time : 01:00:00 Hrs
Total Marks : 45

    Part A

    9 x 5 = 45
  1. Using determinants, find the quadratic defined by f(x) = ax2 + bx + c if
    f(1) = 0,
    f(2) = - 2 and
    f(3) = -6.

  2. Evaluate ഽ sin (log x) + cos (log x) dx

  3. The marginal cost C' (x) and marginal revenue R' (x) are given by C' (x) = 20 +\(\frac{x}{20}\) and R' (x) = 30. The fixed cost is Rs.200. Determine the maximum profit.

  4. The net profit p and quantity x satisfy the differential equation \(\frac { dp }{ dx } =\frac { 2{ p }^{ 3 }-{ x }^{ 3 } }{ 3x{ p }^{ 2 } } \). Find the relationship between the net profit and demand given that p = 20, when x = 10.

  5. From the data, find the number of students whose height is between 80 cm and 90 cm

    Height in cm (x) 40-60 60-80 80 - 100 100-120 120-140
    No. of. students (y)  250 120 100 70 50
  6. The probability distribution of the discrete random variables X and Y are given below

    X 0 1 2 3
    P(X) \(\frac{1}{5}\) \(\frac{2}{5}\) \(\frac{1}{5}\) \(\frac{1}{5}\)
    Y 0 1 2 3
    P(Y) \(\frac{1}{5}\) \(\frac{3}{10}\) \(\frac{2}{5}\) \(\frac{1}{10}\)

    Prove that E(Y2) = 2E(X).

  7. The mean weight of 500 male students in a certain college is 151 pounds and the S.D is 15 pounds. Assuming the weights are normally distributed, find how many students weight
    (i) between 120 and 155 pounds
    (ii) more than 185 pounds.

  8. A sample poll of 100 voters chosen at random from all voters in a given district indicated that 55% of them were in favour of a particular candidate. Find
    (a) 95% confidence limits
    (b) 99% confidence limits for the proportion to all voters in favour of this candidate.

  9. Calculate Fisher's ideal index from the following data and verify that it satisfies both time reversal and factor reversal test

    Commodity Price Quantity
      1985 1986 1985 1986
    A 8 20 50 60
    B 2 6 15 10
    C 1 2 20 25
    D 2 5 10 8
    E 1 5 40 30

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