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Numerical Methods 5 Mark Creative Question Paper With Answer Key

12th Standard

    Reg.No. :
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Business Maths

Time : 01:00:00 Hrs
Total Marks : 75

    5 Marks

    15 x 5 = 75
  1. Estimate the production for 1962 and 1965 from the following data

    year 1961 1962 1963 1964 1965 1966 1967
    Production in tonnes 200 - 260 306 - 390 430
  2. From the following data, calculate the value of e1.75

    x 1.7 1.8 1.9 2.0 2.1
    ex 5.474 6.050 6.686 7.386 8.166
  3. 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
  4. From the following table, estimate the premium for a policy maturing at the age of 58.

    Age (x) 40 45 50 55 60
    Premium (y) 114.84 96.16 83.32 74.48 68.48
  5. Using Lagrange's formula find the value of y when x = 4 from the following table.

    x 0 3 5 6 8
    y 276 460 414 343 110
  6. Estimate the production for 1962 and 1965 from the following data

    year 1961 1962 1963 1964 1965 1966 1967
    production (in tonnes) 200 - 260 306 - 390 430
  7. Find y when x = 0.2 given that

    0 1 2 3 4
    y 176 185 194 202 212
  8. From the following data find e1.75,

    1.7 1.8 1.9 2 2.1
    y 5.474 6.05 6.686 7.389 8.166
  9. From the data find the number of students whose height is between 80 cm and 90 cm.

    Height in cm's  40-60 60-80 80-100 100-120 120-140
    No. of students y 240 120 100 70 50
  10. Find the number of men getting wages between Rs. 30 and Rs. 35 from the following table

  11. Using Newton's formula estimate the population of town for the year 1995 

    year(x)  1961 1971 1981 1991 2001
    Population (y) (in thousands 46 66 81 93 101

     

  12. From the table estimate the premium fora policy maturity at the age of 58

    Age(x)  40 45 50 55 60
    Premium y 46 66 81 93 101
  13. Using Lagrange's formula find the value of y when x = 42 from the following table

     x 40 50 60 70
     y 31 73 124 159
  14. If f(0) = 5, f(1) = 6, f(3) = 50, f(4) = 105, find f(2) by using Lagrange's formula

  15. Apply Lagrange's formula to find y when x = 5 is given that

     x 1 2 3 4 7
     y 2 4 8 16 128

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