B.Com In Investment Management SEM I ATKT INV. MGT QUANTITATIVE TECHNIQUES Question Paper - Mumbai University | munotes

Questions asked in this paper

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• 2. Figures to the right indicate marks of sub-questions

1. Q3 Use of simple calculator is allowed
2. Q1 Fill in the blanks by choosing appropriate option. (any eight) 8 marks
3. Q1 Anannuity in which all the payments are equal is called
   • a) Equitable annuity
   • b) Annuity due
   • c) Uniform annuity
   • d) Egalitarian annuity
4. Q2 If the highest value ina group of observation is 19850 and the lowest value is 16650 then the range
   • d) None of these
5. Q3 If O<r<1 then correlation is
   • a) Positive
   • b) Negative
6. Q4 The difference between compound and simple interest on Rs. 3,000 at 10% p.a for two years is
   • d) of these 5). At maxima, the second order derivative is
   • a) Less than zero
   • b) Zero
   • c) Greater than zero
   • d) None of these
   • Q.P. Code :19967
7. Q6 The price elasticity of demand is
8. Q7 If f(x) = x* — 2x + 3 then f(—2) is
   • d) None of these
9. Q8 is not.used for future value
   • b) Discounted value
   • c) Amount
   • d) Accumulated value
10. Q9 Numerical characteristics are called
    • a) Variables
    • b) Values
    • c) Attributes
    • d) None of these
11. Q10 ----------- is affected maximum by extreme values
    • a) Median
    • b) Arithmetic mean
    • c) Mode
    • d) None of these
    • B) whether true or false (any seven) 07
12. Q1 is capable of further algebraic treatment
13. Q2 a positional average
14. Q3 Asinking fund is
15. Q4 Mode can be obtained by using a Histogram
16. Q5 If = e* + 5x then f(1) = 6). The graphical representation of a linear function is always a line 7). At equilibrium point, demand is equal to supply 6 marks
    • Q.P. Code :19967
17. Q8 of deviations of individual values of variable x from the arithmetic mean is zero
18. Q9 f(x) = log(x? + 9) is a exponential function
19. Q10 Scatter diagram can give the degree of relationship between variables
20. Q2 a) should be set aside each year at 6% p.a compound interest for 5 years to replace a machinery which is expected to cost Rs. 1, 20, 000. The salvage value of the existing machinery will be Rs. 20, 000 at the end of 5 years 8 marks
    • b) Find the mode of the following data. 07 Bill in Rs. 500-600 | 600-700 | 700-800 | 800-900 900-1000 | 1000-1100
    • p) Aloan of Rs. 80, 000 is to be repaid in 4 equal monthly installments starting from the end of the first 08 month. The rate of interest is 9% p.a. compounded monthly. Find the reducing balance
    • q) Find the first quartile for the following data:
    • a) Find the derivative of y w.r.t x 08
    • ii) y = + 5)
    • b) If the demand function is given by D = 2 — 0.2p and the supply function is given by S = 0.2 + 0.7p, 07 find the equilibrium price and the quantity offered and purchased at that price
    • p) If the total revenue and total cost functions are given by R = 30x — and C = 50 + 4x, then find the 08 output at which the profit is maximum. Also find the maximum profit
    • q). Find the maturity amount of a two year fixed deposit of Rs. 40, 000 at 4%p.a if the interest is 07
21. Q4 a) Find the regression equation of Y and X for the following data. 8 marks
    • b) Find the rank correlation coefficient for the following data. 07
    • Q.P. Code :19967
    • p) Find the correlation coefficient for the following data
    • q) Find the standard deviation for the following data: 07
22. Q5 a) Explain what precautions must be taken while drafting a questionnaire. 8 marks
    • b) What are the requisites of a good measure of dispersion? 07 Write short notes on any three of the following. 15
23. Q1 Merits and demerits of arithmetic mean
24. Q2 Define correlation and types of correlation
25. Q3 Function and its types
26. Q4 Define annuity and its types
27. Q5 State limitations of statistics

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