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11th Standard English Medium Business Maths Subject Book Back 3 Mark Questions with Solution Part - I

11th Standard

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Business Maths

Time : 00:30:00 Hrs
Total Marks : 30
    10 x 3 = 30
  1. Solve:\(\begin{vmatrix}7&4&11\\-3&5&x\\-x&3&1 \end{vmatrix}=0\)

  2. Find the 5th term in the expansion of (x - 2y)13.

  3. Find the angle between the lines whose slopes are \(\frac { 1 }{ 2 } \) and 3

  4. Prove that \(\sqrt3\) cosec 20o- sec 20o = 4

  5. Differentiate sin3 x with respect to cos3x.

  6. For the demand function \(x={20\over p+1}\) p > 0, find the elasticity of demand with respect to price at a point p = 3. Examine whether the demand is elastic at p = 3.

  7. A person purchases a machine on 1st January 2009 and agrees to pay 10 installments each of Rs. 12,000 at the end of every year inclusive of compound rate of 15%. Find the present value of the machine. [(1.15)10 = 4.016].

  8. Compute the Geometric mean from the data given below

    Marks 0-10 10-20 20-30 30-40 40-50
    No. of Students 8 12 18 8 6
  9. Calculate the correlation co-efficient for the following data.

    X 5 10 5 11 12 4 3 2 7 1
    Y 1 6 2 8 5 1 4 6 5 2
  10. A soft drink company has two bottling plants C1 and C2. Each plant produces three different soft drinks S1, S2 and S3. The production of the two plants in number of bottles per day are:

    Product Plant
    C1 C2
    S1 3000 1000
    S2 1000 1000
    S3 2000 6000

    A market survey indicates that during the month of April there will be a demand for 24000 bottles of S1, 16000 bottles of S2 and 48000 bottles of S3. The operating costs, per day, of running plants C1 and C2 are respectively Rs.600 and Rs.400. How many days should the firm run each plant in April so that the production cost is minimized while still meeting the market demand? Formulate the above as a linear programming model.

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