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11th Standard English Medium Business Maths Subject Book Back 2 Mark Questions with Solution Part - I

11th Standard

    Reg.No. :
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Business Maths

Time : 00:30:00 Hrs
Total Marks : 20
    10 x 2 = 20
  1. The technology matrix of an economic system of two industries is \(\begin{bmatrix} 0.50 & 0.25 \\ 0.40 & 0.67 \end{bmatrix}\). Test whether the system is viable as per Hawkins-Simon conditions.

  2. Find the rank of the word 'CHAT' in dictionary.

  3. Find the equation of the circle having (4,7) and (-2,5) as the extremities of a diameter.

  4. Convert the following degree measure into radian measure -320o

  5. Determine whether the following functions are odd or even?
     \(f(x)=log({ x }^{ 2 }+\sqrt { { x }^{ 2 } } +1)\)

  6. A demand function is given by xpn = k where n and k are constants. Prove that elasticity of demand is always constant.

  7. A limited company wants to create a fund to help their employees in critical circumstances. The estimated expenses per month is Rs. 18,000. Find the amount to be deposited by the company if the rate of compound interest is 15%.

  8. Find the first quartile and third quartile for the given observations
    2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

  9. Calculate the coefficient of correlation between X and Y series from the following data.

    Description X Y
    Number of pairs of observation 15 15
    Arithmetic mean 25 18
    Standard deviation 3.01 3.03
    Sum of squares of deviation from
    the arithmetic mean
    136 138

    Summation of product deviations of X and Y series from their respective arithmetic means is 122.

  10. Draw the network for the project whose activities with their relationships are given below:
    Activities A, D, E can start simultaneously; B, C > A; G, F > D, C; H > E, F.

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